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Assistant Professor Exam - 2017

(Final Answer Key)

Statistics

QNo 1

Let X be a random variable whose probability density function is

Then Pr (X = 1) is

माना X एक याक चर ह िजसका ाियकता घन फलन ह

तो Pr (X = 1) का मान ह

A 1 1

B 0 0

C 12 12

D 34 34

QNo 2 The standard deviation of a binomial distribution with parameters n=16 and p=14 is एक िपद बटन िजसक ाचल ह n=16 तथा p=14 उसका मानक िवचलन ह

A 3 3

B 4 4

C

D 2 2

QNo 3 An unbiased coin is tossed 6 times and it gives 4 heads What is the probability ofgetting head in seventh toss

एक अनिभनत िसा 6 बार उछाला जाता ह तथा 4 बार िचत आता ह सातवी उछाल म िचत आन कीाियकता ा ह

A 12 12

B 37 37

C 47 47

D 57 57

QNo 4If A and B are mutually exclusive events and then which one of thefollowing is true

यिद A तथा B परर अपवज घटनाय ह तथा तो िन म कौन स ह

A

B

C

D

QNo 5

A random variable X has a normal distribution Its moment generating function aboutorigin is

Mx(t) = exp [2t + 32t2] Its fourth central moment is

एक याक चर X का बटन सामा ह इसका आघण जनक फलन श क साप ह

Mx(t) = exp [2t + 32t2] तो इसका चतथ कीय आघण ह

A 4096 4096

B 10096 10096

C 11288 11288

D 12288 12288

QNo 6 If for a binomial distribution b(np) P(x=0) = P(x=1) then coefficient of variation is यिद िपद बटन b(np)क िलय P(x=0) = P(x=1) ह तो िवचरण गणाक ह

A n n

B 1 1

C Np Np

D P P

QNo 7

The random variable X has the cumulative distribution function

If a = -3 and b = 4 the probability that |X| lt 12 is

याक चर X का सचयी बटन फलन ह

यिद a = -3 तथा b = 4 ह तो घटना |X| lt 12 की ाियकता ह

A 13 13

B 15 15

C 17 17

D 19 19

QNo 8Let X be a random variable whose probability density function is

the value of E(X2) is


तब E(X2) का मान ह

A

B

C

D

QNo 9

The probability density function of a random variable X is

Then the probability density function of is

एक याक चर का ाियकता घन फलन X ह

तो का ाियकता घन फलन ह

A ye-y ye-y

B y2 e-y2y2 e-y2

C ye-y2ye-y2

D 2ye-y22ye-y2

QNo 10 One integer is chosen at random from first two hundred positive integers probabilitythat this integer is divisible by 6 and 8 is

थम 200 घनाक पणाको म स एक सा याक प स चनी जाती ह चनी गयी सा 6 तथा 8 सिवभाजन होन की ाियकता ह

A 004 004

B 008 008

C 025 025

D 050 050

QNo 11If the probability density function of a normal distribution is proportional to

then its mean isयिद सामा बटन का ाियकता घन फलन क समानपाती हो तो इसक मा का मान

ह

A 0 0

B 5 5

C 10 10

D 2 2

QNo 12 Let X follows a binomial distribution b(2p) Y follows binomial distribution b(5p) andP(X gt 1) = 54 then value of P(Y gt 1) is

यिद X का बटन िपद b(2p) Y का बटन िपद b(5p) तथा P(X gt 1) = 54 तो P(Y gt 1) का मानह

A 32243 32243

B 211243 211243

C 112243 112243

D None of these इनम स कोई नही

Question Deleted

QNo 13

If X and Y are independent Poisson Variables such that P(X=2)=P(X=3)

P(Y=3)=P(Y=4) Then variance of (X-3Y) is

यिद X तथा Y मशत ासो चर इस कार ह िक P(X=2)=P(X=3)

P(Y=3)=P(Y=4) तब (X-3Y)का सरण ह

A 3 3

B 24 24

C 36 36

D 39 39

QNo 14 If X and Y are two independent random variables with probability density functionrespectively

यिद X तथा Y दो त याक चर ह िजनक ाियकता घन फलन मश ह

तो याक चर (X-Y) का सरण ह

Then variance of random variable (X-Y) is

A 2 2

B 4 4

C 5 5

D 7 7

QNo 15 The mean of ten observations is 10 and standard deviation is Zero The median ofthese observations is दस समको का मा 10 ह तथा मानक िवचलन श ह इनकी माका का मान ह

A 8 8

B 10 10

C 11 11

D 9 9

QNo 16 If the correlation coefficient between X and Y is r correlation coefficient between 4Xand -4Y is यिद X तथा Y क बीच सहसध गणाक r ह तो 4X तथा -4Y क बीच सहसध गणाक ह

A r r

B 4r 4r

C -4r -4r

D -r -r

QNo 17 Which of the following statements is wrong िन म कौन सा कथन गलत ह

A 1 gives a measure of departure from symmetry 1 समिमत स दरी की माप दता ह

B 2 gives a measure of departure from symmetry 2 समिमत स दरी की माप दता ह

C 2 gives a measure of peakedness 2 ककदता की माप दता ह

D 2 gt 1 2 gt 1

QNo 18 The rank correlation coefficient between the marks in Statistics and Mathematics िकसी वग क छाो ारा साकी तथा गिणत म ा िकय गय अको क बीच कोिट सहस गणाक 08 ह

obtained by a group of students is 08 If sum of squares of difference in ranks isgiven to be 33 the number of students in the group is

यिद कोिटयो म अर क वग का योग 33 ह तो वग म छाो की सा ह

A 10 10

B 25 25

C 100 100

D 500 500

QNo 19 When all the observations are multiplied by k then variance is doubled The value ofk is जब सम को को k स गणा कर िदया जाता ह तो उनका सरण दगना हो जाता ह k का मान ह

A 12 12

B 1 1

C

D 2 2

QNo 20 Which of the following statements is not true िन कथनो म कौन सा कथन स नही ह

A

B

C

D

QNo 21 If 20x - 9y = 107 and 4x - 5y + 32 = 0 are two regression lines then correlationcoefficient between x and y is

यिद 20x - 9y = 107 तथा 4x - 5y + 32 = 0 दो समायण रखाय ह तो उनक बीच का सहसगणाक ह

A 45 45

B 35 35

C 920 920

D None of these कोई सही नही ह

QNo 22 If V(X-Y) gt V(X+Y) then correlation coefficient rXY between X and Y is यिद V(X-Y) gt V(X+Y) तो X तथा Y क बीच सहस गणाक rXY ह

A rXY = 0 rXY = 0

B rXY = 1 rXY = 1

C rXY gt 0 rXY gt 0

D rXY lt 0 rXY lt 0

QNo 23 If x = 05 y = 15 and 2(x-y) = 125 correlation coefficient between x and y is यिद x = 05 y = 15 तथा 2

(x-y) = 125 तो x तथा y क बीच सहस गणाक ह

A 56 56

B 12 12

C 14 14

D 0 0

QNo 24 The sum of deviations taken from median is माक स िलय गय िवचलनो का योग होता ह

A Always Positive सदव धनाक

B Zero श

C Always Negative सदव ऋणाक

D All of these सभी सही ह

Question Deleted

QNo 25 If each value of X is halved and that of Y is doubled regression coefficient of X and ybecomes

यिद X क सभी मान आध कर िदय जात ह तथा Y क सभी मान दो गन कर िदय जात ह तो X पर Y कासमायण गणाक हो जाता ह

A Unchanged अपरवितत

B Halved आधा

C Doubled दो गना


QNo 26 If y=mx+4 and x=4y+5 are regression lines of y on x and x on y respectively thevalue of m is between यिद y पर x तथा x पर y की समायण रखाय मश y=mx+4 तथा x=4y+5 ह तो m का मान ह

A 0 and 1 0 तथा 1 क बीच

B 0 and 12 0 तथा 12 क बीच

C 0 and 14 0 तथा 14 क बीच


QNo 27 The sum of the squares of the deviations of a set of values is minimum whendeviations are taken about

िकसी समह क िवचलनो क वग का योग तब नतम होता ह जब िवचलन िन मापो म स िकसक साप िलयजात ह

A Arithmetic Mean समानार मा

B Harmonic Mean हराक मा

C Geometric Mean गणोर मा

D Median माका

QNo 28A person drives his scooter from his home to his office at a speed of 30km per hourand back from the office to his house at 20km per hour then the average speed is(in km per hour)

एक अपना टर अपन घर स अपन कायालय तक 30 िकमी ित घट की रफतार स जाता हतथावापस 20 िकमी ित घट की रफतार स आता ह उसकी औसत गित ह

A 23 23

B 24 24

C 25 25

D 26 26

QNo 29 A bag contains 5 black and 4 white balls A man selects two balls at random Theprobability that both these are of same colour is

एक थल म 5 काली तथा 4 सफद गद ह एक य याक प स दो गद िनकालता ह व दोनो गद एकही रग की ह इसकी ाियकता होगी

A 16 16

B 5108 5108

C 49 49

D 518 518

QNo 30 For the grouped data having equal width h for each class interval Sheppardrsquoscorrected 3 equals to

वगकत आकड़ो म जहा का अराल सभी काओ म एक समान h ह शपड कर शन लगान क बाद सहीततीय कीय आघण का मान होगा

A

B

C

D

QNo 31 If arithmetic mean median and mode of a distribution are same and their value is 7the values of its 5th decile should be

यिद एक बटन क समानार मा माका तथा बलक समान हो तथा उनका मान 7 ह तो 5 व दशाक कामान होना चािहय

A 7 7

B 12 12

C 35 35


QNo 32If X follows N(01) and

Then E(Y) is equal to

यिद X का बटन N(01) तथा

तो E(Y) का मान ह

A 1 1

B 12 12

C Zero श य


QNo 33X1 and X2 are independent variants with means 4 and 9 and standard deviations 1and 2 respectively The correlation coefficient between u=2X1+X2 and v= X1-2X2 is

X1 तथा X2 त चर ह मश मा 4 एव 9 तथा मानक िवचलन 1 एव 2 ह u=2X1+X2 तथा v= X1-2X2 क बीच सहसध गणाक ह

A

B 0 0

C -613 -613


QNo 34 Two regression lines of Y on X and X on Y are respectively

Then which one is true Y पर X तथा X पर Y दो समायण रखाय मष ह तो

िन म कौन सा स ह

A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm


QNo 35Let x1x2 xn be a random sample taken from N( 2) The sufficient statistic for

when 2 is known isसमि N( 2) स x1 x2xn एक याक ितदश ह यिद 2 का मान िदया हो तो का पयाितदश ह

A

B

C


QNo 36 How many perametric values are specified for the simple hypothesis in a bivariatenormal distribution िचर सामा बटन क िलय सरल परकना िकतन ाचलो क मान को िनिद करती ह

A 2 2

B 3 3

C 4 4

D 5 5

QNo 37

For testing Ho = 0 in a normal distribution N(0 2 ) the critical region is taken

as The alternative hypothesis for which it gives an uniformly most

powerful test is

सामा बटन Ho = 0 म N(0 2 ) क परीण क िलय ाक का योग

िकया गया यह िजस वकक परकना क िलय एक समान प स सवािधक शशाली परीण हवह ह

A 0 0

B lt 0 lt 0

C gt 0 gt 0


QNo 38For the population with probability density function f(x )=( +1) x 0 lt x lt 1 gt -1

Sample mean is an unbiased estimator of

िकसी समि क िजसका ाियकता घन फलन f(x )=( +1) x 0 lt x lt 1 gt -1 ह ितदशमा एक अनिभनत आकलक ह

A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)

QNo 39If x1 x2xn is a random sample from the

pmf f(xp)= px (1-p)1-x x=0 1 0 lt p lt 1 Then a sufficient statistic for p isाियकता माा फलन x1 x2xn स एक याक ितदश

pmf f(xp)= px (1-p)1-xx=0 1 0 lt p lt 1 िलया ह तब p का एक पया ितदशज ह

A x1 x1

B

C xn xn


QNo 401If T1 is most efficient estimator of with variance v1 and T2 is any other estimatorof with variance v2 efficiency of T2 with respect to T1 is

यिद T1 दतम आकलक का ह v1 सरण क साथ तथा T2 कोई अ का आकलक ह v2 सरण क साथ तो T2 की दता T1 क साप हः

A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2


QNo 41 Which of the following testing problem makes use of Chi-square distribution िन परकना परीको म स िकसम काई ायर बटन का योग होता ह

A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2

QNo 42Let be the mean of a random sample from N( 1) If null hypothesis H0 = 0is rejected

when gt 0 then the size of the test is

माना समि N( 1) स िलय गय एक याक ितदश का मा ह यिद श परकना H0 =

0 अीकत की जाती ह जब gt 0 तब परीण का परमाप ह

A 005 005

B 050 050

C 075 075

D 095 095

QNo 43 In a normal population N( 2) let the MLE of 2 be s2 Then the MLE of fourthcentral moment of this population is

एक सामा समि N( 2 ) म यिद 2 का अिधकतम सभािवता आक s2 ह तो समि क चतथकीय आघण का अिधकतम सभािवता आक ह

A 3s4 3s4

B s4 s4

C 3s2 3s2


QNo 44 A maximum likelihood estimator of in U( +1) is बटन U( +1) क िलय ह का महम सभािवता आकलक ह

A X(1) X(1)

B X(n) X(n)

C Any number in X(n)-1lt lt X(1) X(n)-1lt lt X(1) म कोई सा


QNo 45For the population The maximum

likelihood estimator of based on random sample of size n is

समि क िलय n परमाप क याक ितदश पर

आधारत का अिधकतम सािवता आक ह

A Smallest observation नतम ण

B Largest observation अिधकतम ण

C Sample mean ितदश मा

D Sample median ितदश माका

QNo 46Let x1 x2 be a random sample from Poisson distribution with parameter Then

isमाना x1 x2 ोसो बटन स िकसका ाचल हएक याक ितदश ह तब ह

A An unbiased estimator of का अनिभनत आक

B Consistent estimator of का सगत आक

C A biased estimator of का अनिभनत आक


QNo 47If the sample mean of a random sample of size 16 from N( 1) is 019 then 95systematic confidence interval for is

यिद N( 1) स िलय गय 16 आमाप क याक ितदश का ितदश मा 019 ह तो N( 1) का 95समिमत िवाता अराल ह

A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)


QNo 48 Let X be a single observation from a binomial distribution with parameters (5p) LetH0p=15 and H1 p=25 If H0 is rejected when Xgt3 probability of type I error is

माना िक ाचलो (5p)वाल िपद बटन स एक अकला ण x ह H0p=15 तथा H1 p=25 ह यिदH0 अीकत की जाती ह जब िक xgt3 तो थम कार की िट की ाियकता ह

A

B

C


QNo 49 Let T be the number of successes in n independent Bernoulli trails with probability ofsuccesses An unbiased estimator of 2 is

सफलता की ािया वाल n त बनली अिभयोगो म सफलता की सा T ह तो 2 का अनिभनतआक ह

A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)

C T(n-T)n(n-1) T(n-T)n(n-1)


QNo 50 If T is any consistent estimator of another consistent estimator of is यिद का सगत आक T ह तो का एक अ सगत आकलक ह

A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)

QNo 51 Which one of the following is true for estimation of mean of the normal distributionby sample median ितदश माका ारा सामा बटन क मा क आन हत िन म स कौन सा स ह

A unbiased but not consistent अनिभनत परत सगत नही होता

B consistent but not unbiased सगत परत अनिभनत नही होता

C both consistent and unbiased सगत तथा अनिभनत दोनो होता ह

D neither consistent nor unbiased न सगत तथा न अनिभनत होता ह

QNo 52 For a UMP test of size state which of the following statements is true (Where is the probability of second kind of error)

आकार वाल एक समान सामवान परीण क िलय कौन सा कथन स ह (जबिक ितीय कार की िट की ाियकता ह)

A lt lt

B (1 - )lt (1 - )lt

C = =


QNo 53Let the statistic T1 be an unbiased estimator of parameter while T2 is a sufficientstatistic for Then the best statistic in the sense of variance is

माना िक ितदश T1 ाचल का एक अनिमनत आकलक ह जबिक ितदशज T2 ाचल हत पया ह तोसरन की ि स सबस अा ितदशज ह

A T1 T1

B T2 T2

C E(T1T2) E(T1T2)


QNo 54 For testing H0 = 4 against H1 4 in population N( 5) UMPU Critical regionis

एक सामा समि N( 5) म H0 = 4 क िव H1 4 क परीण क िलय UMPU ाितक ह

A

B

C


QNo 55 Let x1 x2 xn be as random sample from population N( 2) and 2 both areunknown The unbiased estimator of 2 is

माना x1 x2 xn समि N( 2) स एक याक ितदश ह ( तथा 2 दोनो अात ह) तो 2 काअनिभनत आकलक ह

A

B

C


QNo 56For estimating mean of a distribution on the basis of a random sample x1 x2 x3xn which one of the following is unbiased estimator

x1 x2 x3 xn याक ितदश क आधार पर बटन क मा क आकलन हत अनिभनत आकलक िनम कौन ह

A

B

C


QNo 57A random sample x1 x2 xn of size n is taken from the population whose pdf is

The MLE of isएक n आकार का याक ितदश x1 x2 xn उस समि स िलया गया ह िजसका ाियकता घन फलन

ह का अिधकतम सभिवता आकलक ह

A

B

C

D

QNo 58Let Xj be a sequence of identically and independently distributed random variablewith finite means and variance Then for Xj

माना Xj एक परर त समान बटन वाल याक चरो की खला ह िजनक मा तथा सरण परिमतह Xj क िलय

A Weak law of large numbers holds but central limit theorem does not िनबल वहत सा िनयम स ह िक कीय सीमा मय नही

B Central limit theorem holds but weak law of large numbers does not कीय सीमा मय स ह िक िनमय वहत सा िनयम नही

C Both weak law of large numbers and central limit theorem hold कीय सीमा मय तथा िनबल वहत सा िनयम दोनो स ह


QNo 59 The point of intersection of two Ogives gives दो तोरणो का कटान िबद दान करता ह

A Mean मा

B Mode बलक

C Median माका


QNo 60 When the total frequency of a distribution is increased indefinitely and class-intervalsare made very small the frequency polygon takes the following form

जब िकसी बटन की कल बारारता बत बढ़ा दी जाय तथा वग अराल बत छोटा कर िदया जाय तोबारारता बभज िन आकार धारण करता ह

A Ogives तोरण

B Frequency curve बारारता व

C Histogram आयतिच


QNo 61 The most appropriate diagram to represent the distribution of national plan outlay ofa country in different sectors of economy is

िकसी दश क रा ीय योजना परसर का िविभ आिथक ो म बटन को दिशत करन क िलय िन िच कायोग सवािधक उपय ह

A Histogram आयतिच

B Frequency Polygon बारारता बभज

C Ogive तोरण

D Pie Chart पाई िच

QNo 62 Which one of the following measure of central tendency remains unaffected byextreme observations िनिलखत म कीय वि की कौन सी माप चरम को स अभािवत रहती ह


B Harmonic mean हराक मा


D Geometric Mean गणोर मा

QNo 63The correlation coefficient between X and Y is r = -12 If regression coefficient byx =-18 then other regression coefficient bxy is

X तथा Y क बीच सहसध गणाक ह r = -12 यिद समायण गणाक byx = -18 ह तो दसरा समायणगणाक bxy ह

A -2 -2

B -4 -4

C 2 2

D 4 4

QNo 64 For testing the independence of attributes in a contingency table which one of thefollowing test is used िकसी आसग तािलका म गणो की तता क परीण हत िन म कौन सा परीण य होता ह

A Chi-Square काई-ायर

B t t

C F F


QNo 65 For testing that a bivariate sample has come from an uncorrelated bivariate Normalpopulation Which one of the following test is used

इस परीण हत िक एक िचरीय ितदश िकसी असत िचर सामा समि स िलया गया ह िन म िकसपरीण का योग िकया जाता ह

A Chi-Square काई ायर

B F F

C t t


QNo 66 Let T be an unbiased estimator of Then which one of the following is true यिद T का अनिभनत आक ह तो िन म कौन स ह

A T2 is unbiased for 2 T2 2 का अनिभनत आक ह

B is unbiased for का अनिभनत आक ह

C 1T is unbiased for 1 1 1T का अनिभनत आक ह


QNo 67 The consistency of an estimator is आक की सगतता

A Larger sample property only कवल वहत ितदश गण ह

B Small sample property only वहत अ ितदश गण ह

C Both Large and Small sample property वहत तथा अ ितदश गण दोनो ह


QNo 68 For Cauchy distribution with parameter the consistent estimator of is ाचल क साथ का उषी बटन क िलय का सगत आक ह

A Sample mean ितदश मा

B Sample median ितदश माका

C Sample mode ितदश बलक


QNo 69 If the variance of an unbiased estimator attains the Cramer-Rao lower bound theestimator is यिद िकसी अनिभनत आक का सरण मर-राव नतम सीमा ा करता ह तो आक ह

A Consistent सगत

B Sufficient पया

C Most efficient दतम


QNo 70 If a sufficient statistic exists for a parameter the maximum likelihood estimator ofthat parameter is always यिद पया ितदशज िकसी ाचल क िलय ह तो ाचल का अिधकतम सभािवता आक सदव होता ह

A Unique अितीय

B Unbiased अनिभनत


D Sufficient पया

QNo 71 A UMP test for a simple null hypothesis against a composite alternative hypothesis सरल श परकना को सय परकना क िव परीण क िलय एक समानत अिधकतम सामवानपरीण

A May or may not exist ा हो सकता ह और नही भी

B Always exist सदव ा हो सकता ह

C Never exist कदािप ा नही हो सकता ह


QNo 72It is proposed to test H0 = 2 against H1 = 1 on the basis of a singleobservation X from distribution f(x) = exp(- x) x gt 0 If critical region is X gt 1the value of probability of type I error is

बटन f(x) = exp(- x) x gt 0 स एक ण x पर आधारत H0 = 2 का H1 = 1 क िवपरीण करना ह यिद ाक x gt 1 ह तो थम कार की िट की ायिकता ह

A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)

QNo 73 The minimum variance unbiased estimator of in U(0 ) is U(0 ) म का नतम सरण अनिभनत आक ह

A

B

C

D None of these इनम स कोई नही ह

QNo 74

If X1 X2 Xn+1 are independently and identically distributed N(01) variables

then the distribution of isयिद X1 X2 Xn+1 त तथा समान प स बिटत N(01)चर ह तो का बटन ह

A t t

B Chi-Square काई-ायर

C F F


QNo 75 For testing the lsquogoodness of fitrsquo of a distribution Which of the following test is used िकसी बटन क आसजन सठता क परीण हत िन म िकस परीण का योग िकया जाता ह

A F F

B t t

C Z Z

D Chi-Square काई-ायर

QNo 76

In answering a question on a multiple choice test an examinee either knows theanswer with probability p or guesses with probability (1-p) The probability ofanswering question correctly is one if he knows the answer and 1m if he guesses Ifan examinee answers a question correctly the probability that he really know theanswer is

बिवक परीण म एक न क उर दन म एक परीाथ या तो p ाियकता क साथ उर जानता ह या (1-p) ाियकता क साथ अनमान लगाता ह न क सही उर दन की ाियकता एक ह यिद वह उर जानता हतथा 1m ह यिद वह अनमान लगाता ह यिद कोई परीाथ िकसी न का सही उर दता ह तो वह सचमच मउस उर को जानता हकी ाियकता ह

A

B

C

D

QNo 77 The relation between mean and variance of a chi square distribution is काई ायर बटन क मा तथा सरण म सध ह

A Mean = Variance मा=सरण

B Mean = 2 Variance मा = 2 सरण

C Variance = 2 Mean सरण = 2 मा


QNo 78 Least square estimators of parameters of a linear model are रखक माडल म ाचलो क नतम वग आकलक होत ह

A Unbiased अनिभनत

B Best linear unbiased तम रखक अनिभनत

C Uniformly minimum variance unbiased एक समान नतम सरण अनिभनत

D All of these इनम स कोई नही

QNo 79 In a binomial distribution with parameters n and p the coefficient of skewness iszero if िपद बटन िजसक ाचल n तथा p ह का िवषमता गणाक श होता ह यिद

A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12


QNo 80 Degrees of freedom is related to त कोिट सत होती ह

A Number of observations in the set सट म िदय णो की सा पर

B Hypothesis under test परीण म परकना पर

C Number of linearly independent observations in the set सट म िदय रखक प स त णो की सा पर


QNo 81 Let X and Y be two independent variables with variances 12 and 2

2 respectivelyThen correlation coefficient between X and (X-Y) is

माना X तथा Y दो त चर ह िजनका सरण मष 12 तथा 2

2 ह तब X तथा (X-Y) क म सहस गणाक ह

A

B

C


QNo 82 Let Mx(t) be moment generating function of a random variable X about origin Thenmoment generating function of Y = (X3)+ 4 about origin is

माना Mx(t) याक चर X का श क साप आघणजनक फलन ह तब Y = (X3)+ 4 का श क साप आधण जनक फलन ह

A My(t) = Mx(t3) My(t) = Mx(t3)

B My(t) = M3x(t)e4t My(t) = M3x(t)e4t

C My(t) = Mx(t3)e4t My(t) = Mx(t3)e4t

D My(t) = M3x(t)et4 My(t) = M3x(t)et4

QNo 83 If X has exponential distribution with mean 1 then is यिद X का बटन चर घातीय हिजसका मा 1 ह तो का मान ह

A e- x e- x

B e x e x

C e-x e-x

D ex ex

QNo 84 The distribution which possesses lsquomemory less propertyrsquo is वह बटन िजसम ित रिहत गण होता ह

A Geometric ािमतीय

B Gamma गामा

C Hyper geometric हाईपर ािमतीय


QNo 85 With the help of Ogive curve which of the following can be determined तोरण व स िन म स िकसकी गणना की जा सकती ह

A Median माका

B Deciles दशाक

C Percentiles शताक


QNo 86 A negative correlation between anxiety before test and the performance there inindicates that िकसी परीण स पहल की िचता तथा परीण म दशन क बीच ऋणाक सहस दशाता ह

A More the anxiety the better is the performance िजतनी अिधक िचता उतना अा दशन

B Lesser the anxiety better is the performance िजतनी कम िचता उतना अा दशन

C Lesser the anxiety lesser is the performance िजतनी कम िचता उतना खराब दशन


QNo 87 Simple random sample can be drawn with the help of सरल याक ितदश िन म िकसकी सहायता स िलया जा सकता ह

A Random Number Table याक सा सारणी

B Chit method िचट िविध

C Roulett Wheel रौलट च


QNo 88 If F value for treatments in ANOVA comes out to be less than unity it may be due to यिद सरण िव लषण म कारको क िलए F का मान एक स कम आता ह तो इसका कारण हो सकता

A Improper Randomisation गलत याकता

B Non-normality सामाता का न होना

C Selecting a wrong statistical model गलत साखकी आह का चनाव


QNo 89 To select team for an inter collegiate Quiz Competition which of the followingsampling technique is most appropriate

िविभ कालज क बीच होन वाली पहली ितयोिगता क िलय टीम चनन म िन म कौन सी ितचयन िविध सबसउिचत ह

A Quota Sampling कोटा ितचयन

B Stratified Sampling रत ितचयन

C Purposive sampling उ यीय ितचयन

D Simple Random Sampling सरल याक ितचयन

QNo 90 In sampling with probability proportional to size the units are selected withprobability proportional to

ितचयन िविध िजसम ाियकता आकार क अनपात म हइकाइया चनी जाती ह उस ाियकता क साथ जोअनपात म होती ह

A Size of sample ितचयन आकार क

B Size of population समि आकार क

C Size of unit इकाई आकार क


QNo 91 When calculating the average rate of debt expansion for a company which one of thefollowing mean is most appropriate िकसी कनी की ऋण वद क मा की गणना करन क िलयिन म कौन सा मा सबस उिचत ह

A Geometric Mean गणोर मा

B Arithmetic mean समानार मा

C Harmonic mean हराक मा


QNo 92 Let X and Y be two independent binomial b(np) variates which one of the followingis true माना X तथा Y दो त िपद b(np) चर ह िन म कौन स ह

A E(X+Y) gt V(X+Y) E(X+Y) gt V(X+Y)

B E(X+Y) lt V(X+Y) E(X+Y) lt V(X+Y)

C E(X) = V(Y) E(X) = V(Y)


QNo 93 The difference between a statistic and the corresponding parameter is said to be ितदशज तथा उसक ाचल क बीच क अर को कहत ह

A Standard error मानक िट

B Sampling error ितचयन िट

C Both (Standard) and (Sampling error) दोनो (ितचयन िट) तथा (ितचयन िट)

D Neither (Standard) nor (Sampling error) न (मानक िट) न (ितचयन िट)

QNo 94 The target population is another way of describing ल समि िन म िकसको बतान का दसरा तरीका ह

A Survey Population सव समि

B Main Sample म ितचयन

C The population for which results are required वह समि िजसक परणाम अपित ह


QNo 95A sample survey is to be conducted to estimate the average size of land holdings ofhouse holds in a district Which one of the following will be most appropriateprocedure of sampling

एक िजल क परवारो क जोतो का औसत फल आकिलत करना ह िन म स कौन सी िविध सबस उपयहोगी

A Simple Random Sampling सरल याक ितचयन

B Stratified Random Sampling ारत याक ितचयन

C Systematic Sampling मबद ितचयन


QNo 96 For a m x m laten square design the degree of freedom for error is m x m लिटन वग अिभक म िट क िलय त कोिट होती ह

A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)

QNo 97 In 23 factorial experiment the number of two factor interaction is 23 बउपादानी योग म 2 उपारान अो िया की सा होगी

A 2 2

B 3 3

C 4 4

D 8 8

QNo 98 In a randamised block design there are 5 treatments and 20 plots Then the numberof replications for third treatment will be

एक याक खडक अिभक म 20 भख तथा 5 उपचार ह तो ततीय उपचार की पनरावि की साहोगी

A 3 3

B 4 4

C 5 5

D 19 19

QNo 99 In a 23 factorial experiment the treatment contract (1) ndasha-b+c+ab-ac-bc+abcbelongs to the effect

एक 23 बउपादानी योग म उपचार िवपयास (1) ndasha-b+c+ab-ac-bc+abc जो भाव िनिपत करता हवह ह

A AC AC

B BC BC

C AB AB

D ABC ABC

QNo 100 Completely Randomised design is based on the principles of पणत याकीकत अिभक िन िसातो पर आधारत ह

A Replication Randomisation and local control पनरावियाकीकरण एव थानीय िनयण

B Replication and Randomisation only कवल पनरावि एव याकीकरण

C Randomisation and local control only कवल याकीकरण एव थानीय िनयण

D Replication and local control only कवल पनरावि एव थानीय िनयण

QNo 101 A ratio estimator gives higher precision if एक अनपात आक अिधक दता दता ह यिद

A Regression line of Y on X passes through origin समायण रखा Y की X पर मल िबद स जाती ह

B Regression of Y on X is linear समायण रखा Y की X पर एक घातीय ह

C Both (Regression line of Y on X passes through origin) and (Regression of Yon X is linear)hold

दोनो (समायण रखा Y की X पर मल िबद स जाती ह) तथा (समायण रखा Y की X पर एक घातीयह)हो

D Neither (Regression line of Y on X passes through origin) nor (Regressionof Y on X is linear)necessary

न (समायण रखा Y की X पर मल िबद स जाती ह) न (समायण रखा Y की X पर एक घातीयह)आवय क ह

QNo 102In simple random sampling without replacement the probability that a particular unitis selected at rth draw is

पनथापन रिहत सरल याक ितचयन म िकसी दी गई इकाई क r व चनाव म चयन की ाियकता होती ह

A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N

QNo 103 In a 23 factorial experiment the contribution of any effect (A) to the sum of squaresfor treatment is एक 23 बउपादानी योग म िकसी उपाचार (A) का उपचार वग योग म योगदान दता ह

A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r

QNo 104A population consisting of 50 units is divided into two strata such that N1=30N2=20 S1=2 S2=3 if by Neymon Allocation n1 = 6 the sample size is

एक समि िजसम 50 इकाइया ह दो रो म िवभािजत इस तरह स ह िक N1=30 N2=20 S1=2S2=3 यिद नमन आवटन स n1 = 6 ह तो ितदश आकार का मान ह

A 6 6

B 12 12

C 25 25

D 30 30

QNo 105 Which of the following statements is true in the context of randomised block design याकीकत ख अिभकना स सत िन कथनो म कौन सा स ह

A The blocks are made in the direction perpendicular to route of fertilityvariation िविभ खउवरता परवतन की िदशा की लवत िदशाओ म बनाय जात ह

B The design controls experimental error in both the directions ofexperimental field यह अिभकना योिगक की दोनो िदशाओ म योिगक िट को िनयत करती ह

C In this design the number of treatments of replications इस अिभकना म अिनवायत उपचारो की सा पनरावियो की सा क समान होती ह

D Only the principles of randomisations and replications are used in thisdesign इसम मा याकी करण तथा पनरावि िसातो का उपयोग होता ह

QNo 106 A 23 factorial experiment is to be conducted in a randomised block design Ifdegrees of freedom of error is to be kept 14 the number of blocks required is

एक 23 बउपादनी योग एक याकीकत खडक अिभक म िकया जाना ह यिद योिगक िट कीात कोिट 14 रखनी ह तो खक की सा होनी चािहय

A 2 2

B 3 3

C 4 4

D 5 5

QNo 107 From a population whose units are valued 5 4 3 2 1 a simple random sample ofsize 2 is taken without replacement The standard error of its sample mean is

िकसी समि िजसकी इकाइयो का मान 54321 ह स 2 आकार का एक ितदश ितथापन रिहत सरलयािक िविध स िलया जाता ह इस ितदष क मा की मानक िट ह

A

B

C

D 1 1

QNo 108 For estimating the population proportion P by a simple random sample withoutreplacement let p be the sample proportion The value of V(p) is

माना िक ितथापन रिहत एक सरल साक ितचयन ारा समि अनपात P क आक क िलय ितदषअनपात P ह V(p) का मान ह

A PQNn(N-1) PQNn(N-1)

B PQ(N-n)(n-1)N PQ(N-n)(n-1)N

C P(N-n)Q(N-1) P(N-n)Q(N-1)

D PQ(N-n)n(N-1) PQ(N-n)n(N-1)

QNo 109 In stratified random sampling optimum allocation reduces to proportional allocationwhen strata have ारत याक ितचयन म इतम िवतरण समानपाती िवतरण हो जाता ह जबिक रो म

A Equal size and equal standard deviation बराबर इकाइया तथा बराबर मानक िवचलन हो

B Equal standard deviation and equal per unit cost बराबर ित इकाई य तथा बराबर मानक िवचलन हो

C Equal standard deviation बराबर मानक िवचलन हो


QNo 110 In 23 factorial experiment with 5 blocks the degrees of freedom of error is पाच खो वाल एक 23 बउपादानी योग म िट की ात कोिट ह

A 4 4

B 9 9

C 16 16

D 28 28

QNo 111

Using standard notations given that

The Neyman allocation of a sample of size 12 will be

मानक सकतो म िदया ह

त 12 आकार वाल ितदश का नीमन िनयतन होगा

A (48) (48)

B (66) (66)

C (84) (84)


QNo 112 Let the degrees of freedom for error sum of squares is 6 Then the order of the Latinsquare is माना िक एक लिटन वग अिभकना म िट वग योग की ात कोिट 6 ह तो लिटन वग का आकार ह

A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6

QNo 113 The statistic follows ितदषज का बटन होता ह

A Chi-square distribution with (k-1)df काई ायर (k-1) ात कोिट का

B Chi-square distribution with k df काई ायर k ात कोिट का

C Chi-square distribution unit (k+1)df काई ायर (k+1) ात कोिटका


QNo 114If X1 X2 and X3 are mutually independant standard normal variates then thevariance

of (X12 + X2

2 + X32) is

यिद X1 X2 तथा X3 परर त मानक सामा चर ह तो (X12 + X2

2 + X32) का सरण ह

A 2 2

B 3 3

C 6 6

D 12 12

QNo 115 Let X be a chi-square variate with 5 degrees of freedom Then E(X2) is माना X एक 5 ात कोिट का काई वग चर ह तो E(X2) का मान ह

A 50 50

B 35 35

C 10 10

D 5 5

QNo 116 In stratified sampling you take a larger sample from the stratum if रत ितचयन म आप एक र स बड़ा ितदश लग यिद

A Stratum is larger र बड़ा हो

B Stratum is more variable internally र म आरक िविवधता अिधक हो

C Sampling is cheaper in the stratum र म ितचयन सा हो


QNo 117 The principle of local control is used to थानीय िनयण िसदात का योग िन हत करत ह

A Reduce error variance िट सरण कम करना

B Reduce the number of replications पनरावि सा कम करना

C Increase the number of plots भखो की सा बढ़ाना

D Reduce the degrees of freedom ात कोिट कम करना

QNo 118 A completely randomised design is trated as a पणयता याकीकत अिभकना का प ह

A One way classification एकधा वगकरण

B Two way classification िधा वगकरण

C Three way classification िधा वगकरण


QNo 119 In a randomised block design we always have याक खक अिभकना म सदव

A Number of blocks = number of treatments खको की सा = उपचारो की सा

B Number of blocks lt number of treatments खको की सा lt उपचारो की सा

C Number of blocks gt number of treatments खको की सा gt उपचारो की सा


QNo 120 In a RBD which test is used for testing the equally of any two treatment means याककत खक अिभक म िकी दो उपचारो क मा की समानता परीण क िलय िकस परीण कायोग होता ह

A F-test F परीण

B t-test t परीण

C Chi-square test काई वग परीण


QNo 121 The degree of freedom of F-ratio in a 5 x 5 latin square design are 5 x 5 लिटन वग अिभक म F- अनपात का ाता कोिट होता ह

A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)

QNo 122 If the degrees of freedom of error sum of squares in a Latin square design is 20The number of rows is िकसी लिटन वग अिभक म िट वग योग की ाता कोिट 20 ह पयो की सा ह

A 7 7

B 6 6

C 5 5

D 4 4

QNo 123 In a randomised block design with 4 blocks 6 treatments and one observation ismissing Then its error degree of freedom is

एक याकीकत खक अिभक म 4 ख6 उपचार ह तथा एक क ल ह तब इसकी िट कीाता कोिट ह

A 17 17

B 16 16

C 15 15

D 14 14

QNo 124

The layout of three treatments ABC is given as

It represents

ABC तीन उपचारो का िन अिभास िदया ह

यह सरचना िकस अिभक को दषाता ह

A Latin Square design लिटन वग अिभक

B 23 factorial experiment 23 बउपादानी अिभक

C Randomised block design याकीकत खक अिभक

D Completely randomized design पणतया याकीकत अिभक

QNo 125

Considered the following table

The values of XY and Z respectively are

िन सारणी पर िवचार कीिजय

XY तथा Z क मान ह मश

A 41110 41110

B 121019 121019

C 142110 142110


QNo 126 With usual notations efficiency of cluster sampling in relation to simple randomsampling is approximately the reciprocal of the following

िचो क सामा अथ म ग ितचयन की दता सरल याक ितचयन िविध क साप िन म लगभगिकसक िवलोम क बराबर होती ह

A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)

QNo 127A population consisting of 100 units is divided into two strata such that N1=60N2=40 S1=2 and S2=3 If by Neyman Allocation n1=12 the sample size n is

एक समि िजसम 100 इकाइया ह को दो रो म इस कार बाटा गया ह िक N1=60 N2=40 S1=2तथा S2=3 यिद नमन िनयतन स n1=12 ह तो ितचयन अमाप ह

A 24 24

B 12 12

C 6 6


QNo 128 The randomised block design is preferred to completely randomised design when याकीकत खक अिभक को पणतया याकीकत अिभक पर वरीयता दी जाती ह जब

A Treatments are heterogeneous कारक िवषम ह

B Experimental units are heterogeneous योिगक इकाइया िवषम ह

C Number of replications are equal for treatments कारको की पनरावि सा बराबर ह


QNo 129In a 5X5 latin square design having one observation missing the totals of rowcolumn and treatment having the missing observations are 25 40 35 respectivelyand the grand total is 100 The estimate of missing observations is

िकसी 5X5 लिटन वग अिभकना म एक ण ल ह ल ण वाल प तथा उपचार योगमष 254035 ह तथा पण योग 100 ह तब ल ण का आक ह

A 30 30

B 15 15

C 20 20

D 25 25

QNo 130300 units of a population are divided into two strata with N1=100 N2=200 S1=2S2=3 If a sample of size 20 have to be selected by Neymanrsquos Allocation the twosizes from strata are respectively

िकसी समि को िजसम 300 इकाइया ह को दो रो म इस कार बाटा गया ह िक N1=100 N2=200S1=2 S2=3 यिद 20 अमाप का ितदश चनना ह तो नमन िनयतन स दो रो स चन गय ितदष काअमाप मश ह

A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131

An unbiased estimator of population proportion of male in a City is p Which is basedon simple random sampling without replacement N and n are respectivelypopulation and sample sizes Then an unbiased estimator of variance of p is c p(1-p)when c is equal to

िकसी शहर क आदिमयो क समि अनपात का अनिभनत आक P ह जो थापन रिहत सरल याक िविधपर आधारत ह N तथा n मष समि तथा ितदष अमाप ह p क सरण का अनिभनत आक c p(1-p) तब ह जब c का मान ह

A

B

C


QNo 132

In a randomised block design there are 6 treatments 5 replications The following isgiven

Mean sum of squares due to replication = 20 Mean sum of squares due to treatment = 20 Total sum of squares = 220

Then mean sum squares due to error is

एक याकीकत खक अिभकना म 6 कारक ह तथा क की पनरावि की सा 5 ह िन िदयाह

पनरावि वग योग का मा = 20 कारक वग योग का मा = 20

कल वग योग = 220 तब िट क वग योग का मा ह

A 40 40

B 20 20

C 4 4

D 2 2

QNo 133 In a bivariete population the two regression lines are perpendicular to each otherWhen correlation coefficient r between the two variables is

एक िचर समि म दो समायन रखाय एक दसर क लवत होती ह जब दोनो चरो क बीच सहस गणाकr का मान होता ह

A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1

D 0 lt r lt 1 0 lt r lt 1

QNo 134 For controlling quality of items in a production process where number of defects peritem are counted Which one of the following charts is used

िकसी उादन िया म वओ क गणता िनयण क िलय परीा हत चन य समह म क व म दोषकी सा क िलय िन म िकस चाट (या िच) का योग िकया जाता ह

A Mean Chart मा िच

B R Chart R िच

C p Chart P िच

D C Chart C िच

QNo 135 CUSUM Chart is especially useful for detection of CUSUM िच (या चाट) िन म िकसक सधान क िलय िवषष प स उपय ह

A Small process shifts छोटी िया बदलाव

B Large process shifts बड़ी िया बदलाव

C Nonrandom patterns याक रिहत रीित


QNo 136 A double sampling plan is िितचयन योजना

A Equally efficient as a single sampling plan एकल ितचयन योजना क समान द होती ह

B Usually more efficient then a single sampling plan एकल ितचयन योजना की अपा साघारणत अिधक द होती ह

C Never more efficient than a single sampling plan एकल ितचयन योजना की अपा कभी नही अिधक द होती ह


QNo 137 Which of the following distribution is used to construct p-Chart िन म िकस बटन का योग p िच बनान म िकया जाता ह

A Binomial िपद

B Normal सामा

C Poisson ासा


QNo 138 Process control is carried out िया िनयण को िकया जाता ह

A Before production उादन स पहल

B After production उादन क बाद

C During production उादन क समथ


QNo 139If the price index for the year 2015 is1103 and the price index for the year 2005 is984 then upto two decimal places the purchasing power of money(in ) of 2005compared to 2015 is

यिद 2015 म म सचकाक 1103 तथा 2005 म म सचकाक 984 ह तो दशमलव का दो थानोतकपय की य मता 2005 म 2015 क साप होगी

A 112 112

B 125 125

C 135 135

D 089 089

QNo 140If the linear trend for the number of footballs sold per year at a shop is given byequation Y=20+135t(the base period is 2008) then the forecast for number of footballs to be sold in 2018 will be

एक दकानदार ारा बची गयी फटवालो की ितवष सा की रखीय उपनित को िन रखा दिषत करती हY=20+135t (यहा आधार वष 2008 को माना गया ह) तो उसक ारा 2018 म बची जान वाली फटवालोका पवानमान होगा

A 1150 1150

B 1370 1370

C 1550 1550


QNo 141 Which control Chat utilizes Poisson distribution for during its control limits िकस िनयण िच म िनयण सीमाओ को ा करन क िलय ासा बटन को य िकया जाता ह

A p - chart p - िच

B np - chart np - िच

C c ndash chart c ndash िच

D ( ) chart ( ) िच

QNo 142 If the random variable X follows exponential distribution with mean 10 thenP[Xgt10Xgt5] is यिद याक चर X का बटन मा 10 वाला चरधाताकी बटन ह तो P[Xgt10Xgt5] होगी

A

B 1 1

C e e


QNo 143 Index number I satisfies circular test if सचकाक I चीय परीण को स ट करता ह यिद

A Iab Ibc = Iac Iab Ibc = Iac

B Iab Ibc Icd = 1 Iab Ibc Icd = 1

C Iab Ibc Icd Ida = 1 Iab Ibc Icd Ida = 1


QNo 144 In Marshall-Edgeworth index number the weight used is माशल-एजवथ सचकाक म य भार ह

A

B

C p0 q0 p0 q0

D p1 q1 p1 q1

QNo 145 The secular trend of a time series is measured by िकसी काल णी म दीघकालीन उपनित ात करन की िविध ह

A Link Relative Method आपिक खला िविध

B Moving Averages गितमान मा

C Variate Difference Method चर अर िविध

D Periodgram Analysis पीरयोडोाम िव लषण

QNo 146 If the average annual probability of dying between exact ages 20 and 30 yeas is0001 the value of l30l20 is

यिद 20 तथा 30 वष की सही उो क म म की औसत वािषक ाियकता 0001 ह तो l30l20 का मानह

A 0999 0999

B 099 099

C 090 090

D 0001 0001

QNo 147 In a life table generally the value of radix (l0) is taken to be सामात िकसी जीवन सारणी म मलाक (l0) को िलया जाता ह

A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000

QNo 148 In a life table for calculation of expectancy of life at age x we use the formula िकसी जीवन सारणी म उ x पर जीवन ाशा की गणना करन क िलय हम िकस स को योग म लात ह

A

B

C

D

QNo 149 The sum of annual agendashspecific fertility rates over the whole reproduction ages isknown as सण जननीय उो पर वािषक उ-िवषष उवरता दरो क योग को कहत ह

A General fertility rate सामा उवरता दर

B Crude birth rate अश ज दर

C Total fertility rate कल उवरता दर

D Net reproduction rate श पनादन दर

QNo 150 A human population will have a tendency to increase in size of net reproduction rateis एक मानव समि आकार म बढ़न की वि रखती ह यिद श पन पादन दर

A Greater than 1 1 स अिधक ह

B Less than 1 1 स कम ह

C Equal to 1 1 क बराबर ह

D Zero श ह

QNo 151 Periodogram analysis is a method of determining पीरयोडोाम िव लषण िकसको जानन की एक िविध ह

A Seasonal variation मौसमी िविवधता

B Cyclical variation चीय िविवधता

C Random component याक अवयव

D Secular trend दीघकािलक उपनित

QNo 152 Fishers Z transformation is used when we wish to test the equality of िफशर क Z पार का उपयोग तब िकया जाता ह जब हम िनिलखत का समानता की परीण करना चाहतह

A Variances of k populations k समियो क सरणो का

B Means of k populations k समियो क माो का

C Skewness of two populations दो समियो की िवषमता का

D Correlation coefficients of k populations k समियो क सहसध गणाको का

QNo 153

The following table gives the frequency distribution of number of live births bornto women in the age group 15-45 years

The value of General Fertility Rate (GFR) based on the above data is

15 स 45 वष की मिहलाओ ारा ज बो का िन बारबार बटन ह

उपरो क आधार पर सामा उवरता दर ह

A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866

QNo 154 Consumer price index numbers reveal the state of उपभोा म सचकाक दशाता ह थित

A Inflation only मा मा ीित की

B Deflation only मा मा ास की

C Both (Inflation only) and (Deflation only) दोनो (मा मा ीित की) तथा (मा मा ास की)

D Neither (Inflation only) nor (Deflation only) न (मा मा ीित की) न (मा मा ास की)

QNo 155 Sample registration for collecting vital statistics is जव साकी क एकीकरण म ितचयन पजीकरण

A A fixed panel survey एक थर पनल सवण ह

B A Cross-sectional survey एक ास-स शनल सवण ह

C Both (A fixed panel survey) and (A Cross-sectional survey) दोनो (एक थर पनल सवण ह) तथा (एक ास-स शनल सवण ह)

D Neither (A fixed panel survey) nor (A Cross-sectional survey) न (एक थर पनल सवण ह) न (एक ास-स शनल सवण ह)

QNo 156 In a time series if the demand of warm clothes is increased during winters it is anexample of िकसी काल णी म यिद जाड़ो म गम कपड़ो की माग बढ़ती ह तो यह उदाहरण ह

A Secular trend दीघकािलक उपनित का

B Seasonal variation मौसमी िविवधता का

C Cyclical variation चीय िविवधता का


QNo 157 Which type of variation is found in a statistically controlled process एक साकीय प स िनयत िया म िकस कार की िविवधता पायी जाती ह

A Non ndash random याक रिहत

B Random याक

C Normal सामा


QNo 158 Control charts for variables are based on which of the following distribution चरो क िनयत िच िकस बटन पर आधारत ह

A Normal सामा

B Binomial िपद

C Poisson ासा


QNo 159 A lock out in a factory for a month represents which component of time-series िकसी फी म एक महीन तक ताला बी काल णी क िकस अवयव को दशाती ह

A Cyclic Movement चीय सचलन

B Seasonal Movement मौसमी सचलन

C Secular Movement दीघकािलक उपनित

D Irregular Movement अिनयिमत सचलन

QNo 160Under which one of the following conditions will the outcome of an experimentclassified as success E or failure follow a Bernoulli distribution

िकसी योग की सफलता E या असफलता क प म वगकत परणाम का बटन िन ितबो म स कौनस एक क तहत बनली बटन होगा

A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1

D P(E) remains constant in all trials सभी अिभयोगो म P(E) अचर रहता ह

QNo 161 Fishers ideal index number satisfies which of the following tests िफशर आदश सचकाक िन म कौन स परणो को स करता ह

A Circular test only चीय परीण मा

B Time reversal test only कालोमन परीण मा

C Both (Circular test only) and (Time reversal test only) दोनो (चीय परीण मा) तथा (कालोमन परीण मा)

D Neither (Circular test only) nor (Time reversal test only) न (चीय परीण मा) न (कालोमन परीण मा)

QNo 162 Let X be a continuous random variable with cumulating distribution function F(x) Yis defined as Y=F(x) Then standard deviation of Y will be

माना X एक सतत चर ह िजसका सचयी बटन फलन F(x) ह| Y को परभािषत िकया जाता ह Y=F(x) तो Yका मानक िवचलन होगा

A

B 12 12

C 112 112


QNo 163The number of non zero characteristic roots of a balanced incomplete block designwith parameters (bvkr ) is

सतिलत अपण खक अिभकना िजसक ाचल (bvkr ) आ यह क श य रिहत अिभलािणक मलोकी सा होती ह

A b r b r

B b k b k

C r k r k

D v k v k

QNo 164

The layout of a 23 factorial experiment is given as

The interactions confounded in two replicates are respectively

23 बउपादानी योग का अिभास िन कार िदया ह

पनरावि 1 तथा 2 म मश अो ह

A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC


QNo 165 In a 23 factorial experiment with 10 replications the degrees of freedom due to एक 23 बउपादानी अिभयोग म िजसम 10 पनराविया हिट ात कोिट ह

error is

A 79 79

B 63 63

C 59 59

D 19 19

QNo 166 Which of the following distribution has a pair of degrees of freedom िन म कौन सा बटन य ात कोिट वाला ह



C Chi-Square काई वग


QNo 167 The central limit theorem assures us that the sampling distribution of mean कीय सीमा मय हम यह आ व करता ह िक मा का ितदश बटन

A Is always normal सदव सामा ह

B Appears normal only when population size is greater than 100 कवल सामा तीत होता ह जब समि अमाप 100 स अिधक ह

C Approaches normality as sample size increases सामा की ओर असर होता ह जस-जस ितदश आकार बढ़ता ह


QNo 168 If in a symmetric distribution first quartile is 5452 and third quartile is 7886 themedian of this distribution will be

यिद िकसी सम बटन म थम चतथाक 5452 ह तथा ततीय चतरथाक 7886 ह तो इस बटन की माकाहोगी

A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338

QNo 169 Which one of the following is not possible for a binominal distribution िन म स कौन िपद बटन क िलय सव नही ह

A Mean = 2 Variance = 32 मा = 2 सरण = 32

B Mean = 5 Variance = 9 मा = 5 सरण = 9

C Mean = 10 Variance = 5 मा = 10 सरण = 5

D Mean = 4 Variance = 83 मा = 4 सरण = 83

QNo 170 Poisson distribution is a limiting case of ासा बटन एक सीता अवथा ह

A Normal distribution सामा बटन का

B Uniform distribution सम बटन का

C Binominal distribution िपद बटन का


QNo 171 The region in which null hypothesis is rejected is called वह जहॉ श परकना को अीकत िकया जाता हकहलाता ह

A Level of significance साथकता र

B Region of Acceptance ीकत

C Critical Region ाक


QNo 172Let 12 3p be the population multiple correlation coefficient of x1 on x2 x3xp Then in order to test the null hypothesis H0 12 3p = 0 which of thefollowing test is used

मान लीिजय िक 12 3p x2 x3xp पर x1 का समि अनकधा सहसध ह तो n आकार कयाक ितदश क आधार पर श परकना H0 12 3p = 0 क परीण क िलय िन म कौनसा परीण य िकया जाता ह

A Chi-Square काई वग

B t t


D F F

QNo 173 Which one of the following is one the basic principles of design of experiments िन म कौन योगो की अिभकना का एक मलभत िसात ह

A Confounding सकरण

B Error Control िट िनयण

C Compounding सयोजन

D Sampling ितचयन

QNo 174 If a systematic sample of size 10 taken from a population of size 100 the 27th यिद 100 आकार क िकसी समि स 10 आकार क िलय गय एक मब ितदश म समि की 27वी 87वी

87th 57th 97th and 7th units of the population are included then rest of the fiveunits of the sample are

57वी 97वी तथा 7वी इकाइया शािमल यी ह तो ितदश की शष पाच इकाइया ह

A 17th 67th 37th 77th and 47th units of population समि की 17 वी 67 वी 37 वी 77 वी तथा 47 वी इकाइया

B 10th 20th 30th 40th and 50th units of the population समि की 10 वी 20 वी 30 वी 40 वी तथा 50 वी इकाइया

C 1st 2nd 3rd 4th and 5th units of the population समि की पहलीदसरीतीसरीचौथी तथा पॉचवी इकाइया

D Any five units of the population समि की कोई भी पाच इकाइया

QNo 175Let X be uniformly distributed over the interval [1 3] then value of x0 such that

Pr [Xlt2 + x0] = 34 isमान लीिजय िक X अराल [1 3] म समप स बिटत ह तो x0 का मान इस कार िक Pr [Xlt2 + x0]= 34 होगा

A 34 34

B 32 32

C 12 12


QNo 176A distribution has variance 16 1 = 1 and 2 = 4 Then third and fourth centralmoments are respectively

िकसी बटन का सरण 16 1 = 1 तथा 2 = 4 ह तो तीसरा तथा चौथा आघण मश ह

A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)

QNo 177The standard deviation of two variables are 1 = 2 and 2 = 3 and the correlationCoefficient between them is 12 If is the acute angle between the lines ofregression for these variables then values of tan is

दो चरो क मानक िवचलन 1 = 2 तथा 2 = 3 ह तथा उनक म सहसध गणाक 12 ह यिद इन चरोकी समायण रखाओ क बीच का न कोण ह तो tan का मान ह

A 713 713

B 919 919

C 913 913

D 619 619

QNo 178 Let X and Y be two random variables such that Y = (X-a)b where a and b (gt 0) areconstants Then which of the following is true

मान लीिजय X तथा Y दो याक चर इस कार ह िक Y = (X-a)b जहा a तथा b (gt 0) थराक ह तोिन म कौन स ह

A Mean(X) = b Mean(Y) मा (X)= b मा (Y)

B Standard Deviation (X) = Standard Deviation (Y) मानक िवचलन (X) = मानक िवचलन (Y)

C Mean (X) = Mean (Y) मा (X) = मा (Y)

D Standard Deviation (X) = b Standard Deviation (Y) मानक िवचलन (X) = मानक िवचलन (Y)

QNo 179 Index numbers measure सचकाक मापत ह

A Relative Change Only साप परवतन मा

B Absolute Change only पण परवतन मा

C Both (Relative Change Only) and (Absolute Change only) (साप परवतन मा) तथा (पण परवतन मा) दोनो


QNo 180 Loss of working days due fire in a factory is associated to whom in the following िकसी कारखान क काय िदवसो म आग लगन क कारण यी हािन िन म िकसस सत ह

A Trend उपनित

B Seasonal component मौसमी सघटक

C Cyclical component चीय सघटक

D Random component अिनयिमत सघटक

QNo 181 Irregular variations in a time series are caused by काल णी म अिनयत िवचरण का कारण होत ह

A Strikes हड़ताल

B Epidemics महामारी

C Floods बाढ़


QNo 182 A time series consists of काल णी िनिमत होती ह

A Long term fluctuations only मा दीघकालीन उावचनो स

B Short term fluctuations only मा अकालीन उावचनो स

C Irregular variations only मा अिनयत िवचरण स


QNo 183 Link relative means the ratio of a value to its खिलत आपक का अिभाय होता हमान का अनपात उसक

A Succeeding value उरवत मान स

B Preceding value पववत मान स

C Both (Succeeding value) and (Preceding value) (उरवत मान स ) तथा (पववत मान स) दोनो

D Neither (Succeeding value) nor (Preceding value) न (उरवत मान स ) न (पववत मान स)

QNo 184 Which one of the following is not a vital event िन म कौन एक जीवन घटना स स नही ह

A Birth ज

B Marriage िववाह

C Education िशा

D Migration माइशन

QNo 185 Vital rates are expressed as ाणभत दरो को दािशत िकया जाता ह

A Percentages ितशत म

B Per thousand ित हजार म

C Per million ित दस लाख म


QNo 186 The probability of a death of a person between ages x and (x+1) is called x तथा (x+1) वष क बीच म की म की ाियकता को कहा जाता ह

A Age specific death rate आय िविश म दर

B Infant mortality rate बाल म दर

C Central mortality rate कीय म दर


QNo 187 and R Chart are used for तथा R चाट य होत ह

A Production control उाद िनयण क िलय

B Process control िया िनयण क िलय

C Material control सामी िनयण क िलय


QNo 188 Quality of a manufactured product is measured by िनिमत उाद की गणता नापी जाती ह

A Numerical measurement only मा साक मापन ारा

B Attribute measurement only मा गणता मापन ारा

C Both (Numerical measurement only) and (Attribute measurement only) दोनो (मा साक मापन ारा) तथा (मा गणता मापन ारा)

D Neither (Numerical measurement only) nor (Attribute measurement only) न (मा साक मापन ारा) न (मा गणता मापन ारा)

QNo 189 np chart is a control chart for िकसक िलय np िच एक िनयण िच ह

A Number of defects per unit ित इकाई दोषो की सा

B Fraction defectives दोषपण का अश

C Number of defectives दोषपण की सा


QNo 190 A typical control chart consists of एक िविश िनयण िच म होती ह

A Two horizontal lines दो ितज रखाय

B Three horizontal lines तीन ितज रखाय

C Five horizontal lines पाच ितज रखाय


QNo 191 If the lower control limit is negative in control Charts for attributes it is taken as यिद गणो क िच म नतम िनयण सीमा ऋणाक ह तो इसको िलया जाता ह

A 1 1

B As it is जसी ह वसी ही

C 15 15

D 0 0

QNo 192 Variation in the quality of manufactured product is tolerable due to िनिमत उाद की गणता म परवतन िन क कारण सहनीय होता ह

A Chance causes only सयोग मा

B Assignable causes only िनधारणीय मा

C Both (Chance causes only) and (Assignable causes only) (सयोग मा) तथा (िनधारणीय मा) दोनो

D Neither (Chance causes only)nor (Assignable causes only ) नही (सयोग मा) नही (िनधारणीय मा)

QNo 193 A group of moving average consists of चल औसत का एक समह होता ह

A 5 years period 5 वष की अविध का

B 3 years period 3 वष की अविध का

C A period which form a cycle एक अविध जो एक च बनाता ह


QNo 194 In which of give following conditions Poisonrsquos distribution would be a goodapproximation of binominal distribution b(x np) िन म िकसकी परथित म ासा बटन िपद बटन b(x np) का एक अा सिकट होगा

A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079

QNo 195 If E1 and E2 are two independent events such that P(E1)=E(E2)=08 then P(E1E2) is equal to यिद E1 तथा E2 दो त घटनाय इस कार ह िक P(E1)=E(E2)=08 तो P(E1 E2) का मान ह

A 064 064

B 080 080

C 096 096


QNo 196Let X and Y be two random variables such that mean of each is 10 and variances are1 and 10 respectively If correlation coefficient between them is 14 then thecovariance between 3X and 5Y is

माना X तथा Y िजनम क का मा 10 तथा सरण मश 1 तथा 9 हदो याक चर ह इन चरो कासहसध गणाक 14 ह तब 3X तथा 5Y का सहसरण होगा

A 34 34

B 1575 1575

C 1125 1125


QNo 197 In case of SRSwor if then will be SRSwor क िलए यिद ह तो होगा

A

B

C

D

QNo 198 A spelling test was conducted on 30 students All of them spelled 8 outof 10 wordscorrectly Then this distribution has 30 िवािथयो का spelling परीण िकया गया क न 10 म स 8 श सही िलख इस बटन का

A Zero standard deviation मानक िवचलन श ह

B Zero mean मा श ह

C Both mean and standard deviation are zero मा तथा मानक िवकास दोनो श ह


QNo 199 The mean of 15 observations is 3 and their range is zero Then maximumobservation is 15 को का मा 3 ह तथा इनका परास श ह तो इनम महम क ह

A 0 0

B 3 3

C More than 3 3 स अिधक


QNo 200 If r12 = r13 = r23 = r the value of multiple correlation coefficient R1(23) is यिद r12 = r13 = r23 = r ह तो बसहसध गणाक R1(23) का मान ह

A 0 0

B 1 1

C 1+r2r 1+r2r

D

B

C

D

QNo 5

A random variable X has a normal distribution Its moment generating function aboutorigin is

Mx(t) = exp [2t + 32t2] Its fourth central moment is

एक याक चर X का बटन सामा ह इसका आघण जनक फलन श क साप ह

Mx(t) = exp [2t + 32t2] तो इसका चतथ कीय आघण ह

A 4096 4096

B 10096 10096

C 11288 11288

D 12288 12288

QNo 6 If for a binomial distribution b(np) P(x=0) = P(x=1) then coefficient of variation is यिद िपद बटन b(np)क िलय P(x=0) = P(x=1) ह तो िवचरण गणाक ह

A n n

B 1 1

C Np Np

D P P

QNo 7

The random variable X has the cumulative distribution function

If a = -3 and b = 4 the probability that |X| lt 12 is

याक चर X का सचयी बटन फलन ह

यिद a = -3 तथा b = 4 ह तो घटना |X| lt 12 की ाियकता ह

A 13 13

B 15 15

C 17 17

D 19 19





A

B

C

D

QNo 9





A ye-y ye-y

B y2 e-y2y2 e-y2

C ye-y2ye-y2

D 2ye-y22ye-y2



A 004 004

B 008 008

C 025 025

D 050 050



ह

A 0 0

B 5 5

C 10 10

D 2 2



A 32243 32243

B 211243 211243

C 112243 112243


Question Deleted

QNo 13





A 3 3

B 24 24

C 36 36

D 39 39





A 2 2

B 4 4

C 5 5

D 7 7


A 8 8

B 10 10

C 11 11

D 9 9


A r r

B 4r 4r

C -4r -4r

D -r -r





D 2 gt 1 2 gt 1




A 10 10

B 25 25

C 100 100

D 500 500


A 12 12

B 1 1

C

D 2 2


A

B

C

D



A 45 45

B 35 35

C 920 920



A rXY = 0 rXY = 0

B rXY = 1 rXY = 1

C rXY gt 0 rXY gt 0

D rXY lt 0 rXY lt 0



A 56 56

B 12 12

C 14 14

D 0 0



B Zero श



Question Deleted




B Halved आधा
















A 23 23

B 24 24

C 25 25

D 26 26



A 16 16

B 5108 5108

C 49 49

D 518 518



A

B

C

D



A 7 7

B 12 12

C 35 35






A 1 1

B 12 12

C Zero श य




A

B 0 0

C -613 -613





A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

C 17 17

D 19 19





A

B

C

D

QNo 9





A ye-y ye-y

B y2 e-y2y2 e-y2

C ye-y2ye-y2

D 2ye-y22ye-y2



A 004 004

B 008 008

C 025 025

D 050 050



ह

A 0 0

B 5 5

C 10 10

D 2 2



A 32243 32243

B 211243 211243

C 112243 112243


Question Deleted

QNo 13





A 3 3

B 24 24

C 36 36

D 39 39





A 2 2

B 4 4

C 5 5

D 7 7


A 8 8

B 10 10

C 11 11

D 9 9


A r r

B 4r 4r

C -4r -4r

D -r -r





D 2 gt 1 2 gt 1




A 10 10

B 25 25

C 100 100

D 500 500


A 12 12

B 1 1

C

D 2 2


A

B

C

D



A 45 45

B 35 35

C 920 920



A rXY = 0 rXY = 0

B rXY = 1 rXY = 1

C rXY gt 0 rXY gt 0

D rXY lt 0 rXY lt 0



A 56 56

B 12 12

C 14 14

D 0 0



B Zero श



Question Deleted




B Halved आधा
















A 23 23

B 24 24

C 25 25

D 26 26



A 16 16

B 5108 5108

C 49 49

D 518 518



A

B

C

D



A 7 7

B 12 12

C 35 35






A 1 1

B 12 12

C Zero श य




A

B 0 0

C -613 -613





A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



ह

A 0 0

B 5 5

C 10 10

D 2 2



A 32243 32243

B 211243 211243

C 112243 112243


Question Deleted

QNo 13





A 3 3

B 24 24

C 36 36

D 39 39





A 2 2

B 4 4

C 5 5

D 7 7


A 8 8

B 10 10

C 11 11

D 9 9


A r r

B 4r 4r

C -4r -4r

D -r -r





D 2 gt 1 2 gt 1




A 10 10

B 25 25

C 100 100

D 500 500


A 12 12

B 1 1

C

D 2 2


A

B

C

D



A 45 45

B 35 35

C 920 920



A rXY = 0 rXY = 0

B rXY = 1 rXY = 1

C rXY gt 0 rXY gt 0

D rXY lt 0 rXY lt 0



A 56 56

B 12 12

C 14 14

D 0 0



B Zero श



Question Deleted




B Halved आधा
















A 23 23

B 24 24

C 25 25

D 26 26



A 16 16

B 5108 5108

C 49 49

D 518 518



A

B

C

D



A 7 7

B 12 12

C 35 35






A 1 1

B 12 12

C Zero श य




A

B 0 0

C -613 -613





A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D


A 2 2

B 4 4

C 5 5

D 7 7


A 8 8

B 10 10

C 11 11

D 9 9


A r r

B 4r 4r

C -4r -4r

D -r -r





D 2 gt 1 2 gt 1




A 10 10

B 25 25

C 100 100

D 500 500


A 12 12

B 1 1

C

D 2 2


A

B

C

D



A 45 45

B 35 35

C 920 920



A rXY = 0 rXY = 0

B rXY = 1 rXY = 1

C rXY gt 0 rXY gt 0

D rXY lt 0 rXY lt 0



A 56 56

B 12 12

C 14 14

D 0 0



B Zero श



Question Deleted




B Halved आधा
















A 23 23

B 24 24

C 25 25

D 26 26



A 16 16

B 5108 5108

C 49 49

D 518 518



A

B

C

D



A 7 7

B 12 12

C 35 35






A 1 1

B 12 12

C Zero श य




A

B 0 0

C -613 -613





A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A 10 10

B 25 25

C 100 100

D 500 500


A 12 12

B 1 1

C

D 2 2


A

B

C

D



A 45 45

B 35 35

C 920 920



A rXY = 0 rXY = 0

B rXY = 1 rXY = 1

C rXY gt 0 rXY gt 0

D rXY lt 0 rXY lt 0



A 56 56

B 12 12

C 14 14

D 0 0



B Zero श



Question Deleted




B Halved आधा
















A 23 23

B 24 24

C 25 25

D 26 26



A 16 16

B 5108 5108

C 49 49

D 518 518



A

B

C

D



A 7 7

B 12 12

C 35 35






A 1 1

B 12 12

C Zero श य




A

B 0 0

C -613 -613





A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

A rXY = 0 rXY = 0

B rXY = 1 rXY = 1

C rXY gt 0 rXY gt 0

D rXY lt 0 rXY lt 0



A 56 56

B 12 12

C 14 14

D 0 0



B Zero श



Question Deleted




B Halved आधा
















A 23 23

B 24 24

C 25 25

D 26 26



A 16 16

B 5108 5108

C 49 49

D 518 518



A

B

C

D



A 7 7

B 12 12

C 35 35






A 1 1

B 12 12

C Zero श य




A

B 0 0

C -613 -613





A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D











A 23 23

B 24 24

C 25 25

D 26 26



A 16 16

B 5108 5108

C 49 49

D 518 518



A

B

C

D



A 7 7

B 12 12

C 35 35






A 1 1

B 12 12

C Zero श य




A

B 0 0

C -613 -613





A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

C

D



A 7 7

B 12 12

C 35 35






A 1 1

B 12 12

C Zero श य




A

B 0 0

C -613 -613





A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A lm lm lm lm

B lm lm lm lm

C lm = lm lm = lm




A

B

C



A 2 2

B 3 3

C 4 4

D 5 5

QNo 37



powerful test is



A 0 0

B lt 0 lt 0

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

C gt 0 gt 0





A

B +1 +1

C ( +1)( +2) ( +1)( +2)

D 1( +2) 1( +2)




A x1 x1

B

C xn xn




A v2v1 v2v1

B v1v2 v1v2

C v1 v2 v1 v2



A 2= 02 2= 0

2

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

B 12= 2

21

2= 22

C 1= 2 1= 2

D p1=p2 p1=p2





A 005 005

B 050 050

C 075 075

D 095 095



A 3s4 3s4

B s4 s4

C 3s2 3s2



A X(1) X(1)

B X(n) X(n)



















A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D












A (-030068) (-030068)

B (019060) (019060)

C (-022019) (-022019)




A

B

C




A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A (Tn)2 (Tn)2

B T(T-1)n(n-1) T(T-1)n(n-1)




A nT nT

B T+n T+n

C T-n T-n

D nT(n+1) nT(n+1)








A lt lt

B (1 - )lt (1 - )lt

C = =




A T1 T1

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

B T2 T2

C E(T1T2) E(T1T2)




A

B

C




A

B

C




A

B

C





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D





A

B

C

D








A Mean मा

B Mode बलक






















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D


















A -2 -2

B -4 -4

C 2 2

D 4 4



B t t

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

C F F





B F F

C t t


































A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D


















A e2 e2

B 1 e2 1 e2

C (e2-1)e (e2-1)e

D e(e2-1) e(e2-1)


A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

A

B

C


QNo 74



A t t


C F F



A F F

B t t

C Z Z


QNo 76



A

B

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

C

D












A P = 12 P = 12

B P gt 12 P gt 12

C P lt 12 P lt 12











A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D







A

B

C









A e- x e- x

B e x e x

C e-x e-x

D ex ex














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D














































C E(X) = V(Y) E(X) = V(Y)



















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D


















A m2 - 1 m2 - 1

B (m-1)2 (m-1)2

C m(m-1) m(m-1)

D (m-1)(m-2) (m-1)(m-2)


A 2 2

B 3 3

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

C 4 4

D 8 8



A 3 3

B 4 4

C 5 5

D 19 19



A AC AC

B BC BC

C AB AB

D ABC ABC















A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A rN rN

B 1N-r 1N-r

C 1(N-r+1) 1(N-r+1)

D 1N 1N


A [A]26r [A]26r

B [A]22r [A]22r

C [A]28r [A]28r

D [A]24r [A]24r



A 6 6

B 12 12

C 25 25

D 30 30








A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A 2 2

B 3 3

C 4 4

D 5 5



A

B

C

D 1 1













A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D


A 4 4

B 9 9

C 16 16

D 28 28

QNo 111





A (48) (48)

B (66) (66)

C (84) (84)



A 3 X 3 3 X 3

B 4 X 4 4 X 4

C 5 X 5 5 X 5

D 6 X 6 6 X 6







of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



of (X12 + X2

2 + X32) is



A 2 2

B 3 3

C 6 6

D 12 12


A 50 50

B 35 35

C 10 10

D 5 5



























A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D
















A (48) (48)

B (58) (58)

C (412) (412)

D (512) (512)


A 7 7

B 6 6

C 5 5

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

D 4 4



A 17 17

B 16 16

C 15 15

D 14 14

QNo 124


It represents







QNo 125





A 41110 41110

B 121019 121019

C 142110 142110




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D




A 1+M 1+M

B 1+(M-1) 1+(M-1)

C 1+(M+1) 1+(M+1)

D (1+M) (1+M)



A 24 24

B 12 12

C 6 6









A 30 30

B 15 15

C 20 20

D 25 25



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A (8 12) (8 12)

B (12 8) (12 8)

C (5 15) (5 15)

D (15 5) (15 5)

QNo 131



A

B

C


QNo 132







A 40 40

B 20 20

C 4 4

D 2 2



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A r = 1 r = 1

B r = 0 r = 0

C r = -1 r = -1





B R Chart R िच

C p Chart P िच

D C Chart C िच














C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

C Poisson ासा









A 112 112

B 125 125

C 135 135

D 089 089



A 1150 1150

B 1370 1370

C 1550 1550








A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D


A

B 1 1

C e e








A

B

C p0 q0 p0 q0

D p1 q1 p1 q1








A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A 0999 0999

B 099 099

C 090 090

D 0001 0001


A 1 1

B 10000 10000

C 100000 100000

D 1000000 1000000


A

B

C

D










D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D





D Zero श ह











QNo 153





A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

A 44933 44933

B 89866 89866

C 44933 44933

D 89866 89866


















B Random याक






C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D




C Poisson ासा









A P(E) = P(E) =

B P(E) = 0 P(E) = 0

C P(E) = 1 P(E) = 1









A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

A

B 12 12

C 112 112




A b r b r

B b k b k

C r k r k

D v k v k

QNo 164





A AB ABC AB ABC

B AB AC AB AC

C AC BC AC BC



error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

error is

A 79 79

B 63 63

C 59 59

D 19 19













A 1217 1217

B 3943 3943

C 6669 6669

D 13338 13338



















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D















B t t


D F F















A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D









A 34 34

B 32 32

C 12 12




A (64 1020) (64 1020)

B (60 1024) (60 1024)

C (65 1024) (65 1024)

D (64 1024) (64 1024)



A 713 713

B 919 919

C 913 913

D 619 619




















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D


















C Floods बाढ़













A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D







A Birth ज



































A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



















A 1 1


C 15 15

D 0 0












A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D











A n = 200 q = 098 n = 200 q = 098

B n = 400 p = 052 n = 400 p = 052

C n = 10 p = 003 n = 10 p = 003

D n = 40 q = 079 n = 40 q = 079


A 064 064

B 080 080

C 096 096




A 34 34

B 1575 1575

C 1125 1125



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D



A

B

C

D







A 0 0

B 3 3




A 0 0

B 1 1

C 1+r2r 1+r2r

D

B 1 1

C 1+r2r 1+r2r

D

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