QP-IES-ISS-26-220626-STATISTICS-PAPER-II

LE.S./1.S.S. Examination, 2026 DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO so T.B.C. : SNCS-B-STS Test Booklet Series TEST BOOKLET STATISTICS Paper—II Serial No. 1001713 Time Allowed : Two Hours Maximum Marks : 200 INSTRUCTIONS ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET. 2. Please note that it is the candidate’s responsibility to encode and fill in the Roll Number and Test Booklet Series A, B, C or D carefully and without any omission or discrepancy at the appropriate places in the OMR Answer Sheet. Any omission/ discrepancy will render the Answer Sheet liable for rejection. 3. You have to enter your Roll Number on the Test Booklet in the Box provided alongside. DO NOT write anything else on the Test Booklet. 4. This Test Booklet contains 80 items (questions). Each item comprises four responses (answers). You will select the response which you want to mark on the Answer Sheet. In case you feel that there is more than one correct response, mark the response which you consider the best. In any case, choose ONLY ONE response for each item. 5. You have to mark all your responses ONLY on the separate Answer Sheet provided. See directions in the Answer Sheet. 6. All items carry equal marks. 7. Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your Admission Certificate. 8. After you have completed filling in all your responses on the Answer Sheet and the examination has concluded, you should hand over to the Invigilator only the Answer Sheet. You are permitted to take away with you the Test Booklet. 9. Sheets for rough work are appended in the Test Booklet at the end. 10. Penalty for wrong answers : THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN THE OBJECTIVE TYPE QUESTION PAPERS. (i) There are four alternatives for the answer to every question. For each question for which a wrong answer has been given by the candidate, one-third of the marks assigned to that question will be deducted as penalty. (ii) If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given answers happens to be correct and there will be same penalty as above to that question. (iii) If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that question. DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO so /68 [1 Let ੭), 22, ടട ੭56 be a random sample 4. Let ੭), ہریت روڈ‎ be a random sample from a distribution for which mean | from () distribution, 1006 2 exist. Then the consistent estimator 11, is and variance parameter is known. Which of the following statements is/are correct? aye min (x, ×2› -..› Xn) I. The Cramer-Rao lower bound to the (b) Xin) = max variance of an unbiased estimator 2 77 1 of o is 227 where 6 = . 2 1‎ n n Il. An unbiased estimator of is Xn) + × (0) = 0) || || n 2. Let , ‎ « Xp, be a random sample Select the answer using the code given from the p.d.f. f(x) = = 0 < 6 < × 2, below. x Which one of the following is a sufficient (a) 1 only statistic for 7 (a) Mean 0100, 22» -.., Xn) ) only (b) Median of (x;, ...‎ Xn) (5) Both 1 and II c) Minimum of (x), X9,..., Xn) (6 ‎ () Neither I nor 11 (4 Minimum of [ ‎ 3. Let ), X9,...,xX, be a random sample 5. Let 2. ‎ ...› 0 be a random sample from the distribution having 1.04. from the ‎ having (; 6, 0) = 88); 26, 320. To pdf. f(x, 6) = € (~ 9.. 70300066 test 70 : = 2, 6 = 3 against ‎ : 0 = 4, [00 - age SE is 1008% confidence 6 = 2, the best critical region is given by interval for 9, where (a) x2 ‎ = min (20 227 ---) Xn} . > {14 ® What is the value of B? = 2 n (a) 0-90 x < [171682- ^| (b) 0-92‏ = 1082 108% 0-95‏ | +1( 25 where k > 0. (0 0.975‏ SNCS-B-STS/68A 2 6. Let ), ‎ ...› x, be a random sample from N(6, 2) distribution, 2 is known, 9 is unknown. Which of the following statements is/are correct? 1. The MLE of e” is 625 with bias 202 -- 1. 11. An unbiased estimator of 629 is 22- 265 e ++ Select the answer using the code given below. (a) 1 only (b) 11 only (© Both 1 and 11 (4 Neither I nor 11 7. Let ], Xg,...,X, be a random sample from the following probability distribution : 2(1-9) 9 )1 6€ PUX= I=,‏ The moment estimate of 6 is (a) x (b) 2(1-2) 1 2 ^. SNCS-B-STS/68A > Let X ~ f(x, 9). The most powerful test of size 0:10 for testing 270 : f(x, 6) = 8x7, O<x<1 against Hy: f(x, 9) = 423, 0 < × < 1 085 power (0 J0-10 () 0 Y0-10 (0) 06 9. Let x, 22 70 be a random sample from a distribution with p.d.f. 2/9. ° 0 x, 6) = 4 *.) F(x, 6) | 0 ; otherwise The sufficient estimator of @ is (a) Se xa (b) 2 +1 (c) axe +1 10. A random sample x), 29) ..., × is taken from a normal population with mean 0 and variance 03, that is, ~ )0 2). The minimum variance bound (MVB) estimator for 2 is 7 2 ^ => => n ‌‏ 7+1 => | ¶ 11. If 95% confidence interval for » with Za/2 =1-96 is (400, 407-84) and the sample size is large, the value of the standard error of mean X will be (a) 2 (b) 4 (c) 10 (d) 20 12. Let x1, X9,-.Xn, be a random sample from a distribution with p.df. or p.mf. f(x, 9), %€9. A. statistic T =(X, XQ) ++» Xn) iS said to be sufficient for 6, iff the conditional distribution of X, given T=t, is (a) dependent on 8 (b) independent of 6 (c) dependent on 6? (d) None of the above SNCS-B-STS/68A 13. Let x1, X9, +++) Xn be a random sample from a distribution Fy for which mean and variance exist. Let » be the mean and o2 be the variance of the distribution. Then the unbiased estimator of o? is (a) s*= = Sra -x)? () s? = Yi - 2? () 8? = Sh m2)? (d) s?= 14. Neyman-Pearson fundamental lemma provides the most powerful (MP) test of its size for testing (a) simple null hypothesis against composite alternative (b) composite null hypothesis against simple alternative (c) simple null hypothesis against simple alternative (ad) composite null hypothesis against composite alternative 15% கலவை க bea random sample from a normal ( 9) and is known. Which of the following statements is/are correct? f= x, -1)2 18 sufficient‏ statistic for 9. ' ‎ ][ ‎ =), = is sufficient 0 = 23 statistic for 6. Select the answer using the code given below. (a) 1 only (b) ]] only (c) Both I and II (0) Neither I nor II 16. Let 10 be an MVU estimator of 700 and 72 an unbiased estimator with efficiency eg < 1. Which of the following statements is/are correct? 1. The unbiased linear combination of 0 and ,‎ 7.6. = 6070 + 617]; a, #0, dg +a, = 1 is MVU. Il. The unbiased linear combination of Ty and 7, , 7-070 - aT; a, #0, 0 ¬ a, = 115 MVU. Select the answer using the code given below. (a) 1 only ¢) ]] only (c) Both I and II () Neither I nor II SNCS-B-STS/68A 17. Let 20) 22) be a random sample from || 2), the parameter p being known. If the unknown (6 = 2) parameter 15 2 with the para- metric space © = {0 |0 < 6 < =}, then 2 ‎ is equal to 262 (a) ‌ ) 262 (c) ‎ (0) aa 18. Let ), 22) Xn be a random sample from 77 (1 62), the parameter p being known. The unknown (85 2) parameter is o? with parametric space (6049) and 52 ‎ . Which of the following statements is/are correct? 1, Nar (58) is more than the CR lower bound. 11. Var (58) coincides with the CR lower bound. 111. So is an MVB estimator of 6. Select the answer using the code given below. (a) 1 only () 11 only and () 1 and 111 [ P.T.O. FF A batch of 19 students is examined 21. Let ‎ ×2› ...› 56 be a random sample in three subjects—Statistics (0), from (162) distribution with ‎ Mathematics (x2) and Computer Programming (x3). It has been given that ‎ = 0: 6. It is expected that x2 known. Consider the following testing problems for N(y, ) will affect the correlation between x, ‎ :62 =O; against H, :62 < 2 and x3 (ie., the partial correlation ‌ between x, and xg after eliminating Il. Hy : 2 ‎ against : 2 > the effect of x. is zero). The value of test statistic for testing 770 : 05.2 = 0 . Hy :62 55 against 71) :62 #02 against ‎ :613.2 #0 is The UMP level test exists for (a) 2-5 (b) 3 (a) 1 and 11 (b) 11 ( 1 but not for II () 4.5 () 11 but not for I 20. In order to test 770 : 6 = 60 against the alternative 17 : 6 ₹ 00, the likelihood ratio to be used as the test statistic is 22. Let ), X9,....X, be a random sample from a Bernoulli population with parameter , where 0 < p< 1. Which of চিলি the following is/are sufficient statistic(s) 1.60) for p? max (7. (8) L 1 7 002‎ lon EA ` () max (L (0) 11. ‎ -2) 78) 111. ._ (1060) Select the correct answer using the code ( min | —— L(®) given below. (a) 1 only - _ | (©) (‌) ] 1.60) (0) 11 only ( 1 and 11 where 9 is the parametric space. () 1 and 111 SNCS-B-STS/68A 6 23. If T, is an MVUE of (8), 8€ © and T, is any other unbiased estimator of y (6) with efficiency e< 1, then which of the following is/are correct? I. T=(T,+T,)/2 is MVUE of y(6) Il. Var(T) = Var (T, /4) Ill. T cannot be MVUE for y (8) IV. T is unbiased for y (8) Select the answer using the code given below. (a) I (b) IV only (c) I and IV (ad) Wl and IV 24. If X~ Exp(A), then based on a random sample of size n from this population, consider the following statements : I. MLE and MME estimators of A are equal to i= 5 x Il. MLE and MME estimators of A are equal to A= xX. Ill. MLE and MME of d are unequal. Which of the statements given above is correct? (a) I (b) U (c) (d) Neither I nor II nor III SNCS-B-STS/68A 25. If 7, and Ty are two unbiased estimators 2 of y(8) having the same variance o* and p is the correlation between them, then which one of the following is correct? (a) p =2e-1, where eis the efficiency of each estimator (b) p =2e-1, where eis the efficiency of each estimator (c) p=2e,-e9, where e, is the efficiency of 7, and ey is the efficiency of Tz (ad) p=e,+e,-1, where e, is the efficiency of 7, and eg is the efficiency of T, 26. An estimator 7, is consistent for y (6) under which of the following? I. TT, is unbiased for y (6) I. V(%)<1 Il. T Sy) Th n wv. =4y7@) Select the correct answer using the code given below. (a) I and II (b) 1 and Ill (c) Ill only (a) IV 27. Let X~ Bernoulli (P). Then the Fisher information based on a random sample of size one from this population is (a) P(1-P) (b) 1/(P-P?) (c) 1-P (d) 1/(1-2P +P?) [ P.T.O. Let ), 52, ‎ X, be a random sample 31. If the SPRT of strength (6 3) and from a distribution with p.d.f. boundary points (A, B) terminates with probability 1, then which of the 6-1. ‌ ॥ १0 ; 02821 0૬9૬૦૦ following is/are correct? 0 ; otherwise I A< 278 Then a sufficient statistic for 9 is ‌ B = 11. B2—— () ` x 1- (b) Py 2; -1 Select the answer using the code given below. n (0 11-15 (a) 1 only (0) 1 (0) II only ‎ (c) Both I and II 29. The most powerful test testing Neither I nor 11 Ho : 9 = 60 against ] : 6 = 9] maximizes (a) variance 32. Under ` regularity conditions, the (b) power maximum likelihood estimators are (c) type L error asymptotically (d) type II error 1. unbiased 11. normal 30. Consider a random sample of size n from a Bernoulli (p) population. To test 770 : = 0-4 against : p=0-6, the most powerful test depends on Select the correct answer using the code given below. . efficient (a) 1 and II only‏ (b) 3)‏ (b) Il and 111 only‏ Sy - 2)?‏ മ © 1 and ग्रा only‏ , (4) ® 154; (0) 1, and 111 SNCS-B-STS/68A 8 Let T= T(x}, 202, ..., 20) be an estimator of y (6). Consider the following statements : 1. ` ® [7' - †(6]]2 = ‎ ]7- Eg(T)]? + [80 (7) - )? 11. The bias of T is ‎ (7) - + (9). Which of the statements given above is/are correct? (a) I only (0) 11 only ( Both I and II () Neither I nor II 4. Let ), ×2› ...› xX, be a random sample from a population with probability density function Ff (x; 8) = [: 4-2 0 < × < 1, 6 > 0. Which of the following statements are correct? £ 1 4 565 is a sufficient estimator of 6. . 2-1 15 a sufficient estimator of 6. n 1 7 प्रा. -————— is 8 maximum 7? 108 X; likelihood estimator of 6. SNCS-B-STS/68A Select the answer using the code given below. (a) 1 and II only (b) 1 and 111 only ( 1 and 111 only (0) 1, 11 and 111 35. Let 17 = V(x, 22, « ×; ) be an unbiased estimator of /(9) and T be a sufficient statistic for y (9). Define ®(t) = E[V|T = £]. Which of the following statements is/are correct? 1. 6) is an unbiased estimator of 10). 11. The variance of (0) is less than or equal to variance of V. . ) is a function of sufficient statistic which is dependent on 6. Select the answer using the code given below. (a) 1 only 11 and 111 only (© 1 and II only (0) 1, 7 ಹಾರೆ गा (2.7.0. ‌ Let ], ×2› ...› be a random sample 37. Let 71 and 72 be two unbiased estimators from N(p, 2); < ‎ < =, 0 2 > 0, where for a parameter 9 such that ‎ (12) < 005 both and 62 are unknown. Which of i= 1, 2. If the efficiency of 7] relative to 1 2 Vi 7; the following statements are correct? > is ‎ (1:02 arg ( 2) 71 75 Varg (]]) of the following is correct? 1. 15% and 62 = (x; -x)? £ (0) ¬ | > 1 implies ] is more maximize the likelihood function To L(y, ; x). efficient than 75 : (b) = <1 implies 72 is more ‎ + 1 ‌ _ ¥)2 2 Tesh ee and 0 24-18 3 efficient than T maximize the likelihood function 7 x), © ‎ >1 implies 7 is more efficient than 12 1 7 . 6? = 34105 “ 1s an ‎ e|=2|<1 implies T is more n unbiased estimator of 2. 4 efficient than 7] 1 2 A Iv. 5 = is =) 518 38. Let ), 227 ...› ×; be a random sample > # from unbiased estimator of 2. 1 f(x; , 0) = ¦ 85 0 , otherwise a<x<B Select the answer using the code given below. Then the MLEs of and 3 are respectively given by (a) Il and IV 1 (a) ¢ = ‌ B=x-1 (b) 1! and 11 fey 492 x x ( 1 and 111 ( 6-2) and B= xin) (0 land 1 (0) @=x, andB=x, SNCS-B-STS/68A 10 39. Consider the following : 41. Let 2], 22, = ‎ be independent random variables each having the distribution 1. Bootstrap P(x; =k)= ಸ; ಸಿ೬೩ ೩... ೫; Ne Z, the Il. Jackknife set of positive integers. If Xin) = max () and xq) =min(x;), then the sufficient பண்பில்‌ statistic for the parameter N is IV. Stratified sampling (0) Xq) How many of the above are resampling (৮) ଆମ୍ଭ methods? 2 (1) %$ (a) One (b) Two () None of the above (c) Three 42. Let ), 227 2, constitute a random sample of size n from the probability density function F(x; 9) 6 0<2<, 6 > 0. Consider the following statements : (0) All the four 1. The estimator of 6 with method of moments is X. 40. The critical region W and consequently 11. Both maximum likelihood a test for testing 1340 : 6 = 90 against estimator and moment estimator of 17 : = 61 is unbiased if 6 are same. Which of the statements given above (a) P(xe W|H,) > 2(% € 17170) is/are correct? () P(x€ W|Hp) > P(x € 1777) ( () only (© P(x € ] = P(x € | ) (2 Both 1 and Il (0) P(xe ) > P(x € W|Ho) (0) Neither 1 nor 11 SNCS-B-STS/68A 11 [ P.T.O. ES Let ‎ Xp,...,X, be independent and 45. Let ), x9,..., x, be a random sample identically distributed ( ), 1.6., from a distribution with probability Bernoulli random _ variables with density function f(x; 9) = 1 : parameter , 0 < > < 1. Define T=)" | x;. 7 1+(-6) The UMVUE for ) = (1- p) is given - < × < ,615 real. Then the minimum by variance bound estimator 16 20 (a) is 0‎ ‘a Dy i (a) n(n- 1) . 7 ‎ n(n- 1} 7 ( is ‎ x? (9 020 n(n- 1) (0) does not exist () T(n-1-T) 44. Consider the following statements : 46. Let ہدیا رو ہد‎ be a random sample from a distribution with probability density function 1. Ifa sufficient statistic £ for 6 exists, then the maximum likelihood estimator will be a function of the sufficient statistic t. /(%; 6) = ‎ 022 0 10) 11. If 6 is the maximum likelihood ਪੰਨੇ, 08; estimator of 6, then 146 is the Then the estimator of a obtained by maximum likelihood estimator of দেৰি OF encanta ie 8 1-6 7 (a) 2 Which of the statements given above is/are correct? (b) x (a) I only (0) 1! only (0) ab x (c) Both I and II () Neither I nor 11 () 2x SNCS-B-STS/68A 12 47. In an SPRT with n, « and B, which one of the following is correct? (a) n- fixed constant, a — fixed constant, B — fixed constant (b) n-random variable, a = fixed constant, B —> fixed constant (c) n-— fixed constant, o« —> random variable, B > random variable (a) n- random variable, « > random variable, B — fixed constant where the symbols have their usual meanings. 1 _ (<0)? Let f(x;@)=——e 2; -w<x<m, T Van -e <@<o. The sequential probability ratio test is used for testing Hy :9=8 against H, : @ = 6,(> 85). Then we reject Ho if m 1 B (a) ES < 8, = 8 tog( SNCS-B-STS/68A 13 49. Consider the following statements : I, Neyman-Pearson lemma gives a general method for testing simple null hypothesis against composite alternative hypothesis. II. Likelihood ratio test gives a general method for testing simple or composite null hypothesis against simple or composite alternative hypothesis. Which of the statements given above is/are correct? (a) I only (b) II only (c) Both I and II (d) Neither I nor II 50. For testing Ho : 1 =U against Hy: h#Uo, the 90% confidence interval for ph of normal distribution, when o2 is unknown, is (360, 400). Then the value of sample mean is given by (a) 380 (b) 390 (c) 400 (d) 420 [ P.T.O. 2 Let A be the matrix of 6 columns with rank 3 and y be a non-null vector. The number of linearly independent solutions of the consistent equation Ax = { 15 (a) 3 (b) 4 5 6 52. Consider the following statements under the linear model = XB+e and Gbea generalized inverse of X’X : 1. XGX’ is invariant to G. Il. XGX’ is symmetric only when G is symmetric. Which of the statements given above is/are correct? (a) 1 only (b) 11 only (c) Both I and II () Neither I nor II SNCS-B-STS/68A 53. 54. Consider the following statements : 1. The rank of a generalized inverse of a matrix A does necessarily have the same rank as A. Il. The rank of a generalized inverse of a matrix A is the same as the rank of A, if and only if it is a reflexive inverse. Which of the statements given above is/are correct? (a) 1 only (b) 1 only (c) Both 1 and 11 (d) Neither 1 nor 11 Let 7 ಜಗ್ಗ, 3. ಖಾಡೆ 34. 9૦ uns correlated observations with common unknown variance 2. Let 0) = 3] 192 193 = & (72) E(¥3) = 01 ¬ 02 = 5 (4) where 3], 32 and 03 are unknown parameters. Define e, = 7 ¬ 172) and -# 03 ¬ 174). An unbiased estimate 2 6 2 is (a) 29 - 62) )+ 262 2 9‏ (0 ¿ + 55. Consider Gauss-Markov linear model ` > (7) = 8] * 32. E(¥2)=B, ¬ 6 2› & (3) = 201 ¬ 02. For what value of a, BLUEs 13] and 0 2 0.6, and Bo) are uncorrelated? (a) -2 (b) -1 2 0) 2 56. Let 7], 2 and Y3 be uncorrelated observations with common variance and expectations given by E(Y,)=6), 2 (2) = 82 and & (3) = 01 192) where 3] and ‎ are unknown parameters. The BLUE of (01 + 02) is )0( മന്യ (c) 20 + 2 +2Y3 SNCS-B-STS/68A 15 Model-I : Y = 00 +B,X and Modell -36 82782272 are fitted for the data set (, 7); 1= 10 2, ..., 7 Denote Bo and 61 as least square estimates of By, 3] from Model-I and 82, , ‎ be the least square estimates from Model-II. at ‎ 2 Define 2 = ‎ -60 ) and -2-10 ¬ 90 - 8120 -B2X7)?. Consider the following statements : 1, 11. Itcan happen that © = 0 but P > 0. Which of the statements given above is/are correct? (a) I only (b) 11 only (c) Both I and II (‌) Neither I nor 11 58. Using the ordinary least squares method, Student-I fits the model ; = 6 0 +0,X; (that is Y on X) and Student-II fits the model 2; = 30 + (that is X on Y) for the given data set (Y;, X;); i= 1, 2, ..., 7. Which one of the following pairs is a possible value of (1, 1)? (a) (-0-3, 0-6) (b) (0-7, 3-5) ( (0-5, -0-5) (0 (-1-5, -0-3) (2.7.0. 59. Let ’B be an estimable function of B in the model ¥Y = XB +e, where E(¥)= XB and X is an nxp matrix of rank k<psn. Let 6 be any solution to the normal equations X’xXB = X’Y and let r be any solution to X’Xr=h. Consider the following statements for the two estimators xB and rx’Y: BE vB is equal to r’X’Y for any § or © Il. 4 and r’X’Y are invariant to the choice of any 6 or ©. Which of the statements given above is/are correct? (a) I only (b) II only (c) Both I and II (a) Neither I nor II 60. In the Gauss-Markov linear model Ynxt =XnxkBexit€nxr, E(e)=0 with rank r(X)=r<k, the set {le R" : E(U¥) = 0} is (a) not a subspace (b) a subspace of R” with dimension k-r (c) a subspace of R” with dimension n-k (d) a subspace of R” with dimension n-r SNCS-B-STS/68A 16 61. Which of the following divisions are parts of the National Statistical Office of the Ministry of Statistics and Programme Implementation? I. National Accounts Division (NAD) Il. Field Operations Division (FOD) Ill. Infrastructure and Monitoring Division (IPMD) Project IV. Data Informatics and Innovation Division (DIID) Select the correct answer using the code given below. (a) I, II and Ill (b) 1, I] and IV (c) I, Il and IV (d) Il, I and IV 62. Which one of the following is not an objective of the International Comparison Programme (ICP)? (a) To produce parities (PPPs) purchasing power (b) To produce comparable price level indexes (PLIs) of economies (c) To monitor exchange rate of different currencies (a) To convert measures of Gross Domestic Product (GDP) of different economies into a common currency 63. Consider the following statements : I. The Ministry of Statistics and Programme Implementation is releasing the Consumer Price Index (CPI) with revised Base 2024 = 100. Il. The Ministry of Statistics and Programme Implementation is releasing the National Accounts Estimates with revised Base period 2023-2024. Which of the statements given above is/are correct? (a) I only (b) II only (c) Both I and II (d) Neither I nor II 64. Which of the following are the new initiatives taken for the Census 2027? I. Data will be collected using mobile applications. Il. Option to self-enumerate will be provided to the public. Ill. Caste included. enumeration will be SNCS-B-STS/68A dg Select the correct answer using the code given below. (a) I and II only (b) II and III only (c) 1 and III only (a) I, II and Il 65. Which of the following are correct regarding ‘Swachh Survekshan’? I. It is the world’s largest urban cleanliness survey. II. It is conducted every five years. II. It is conducted by the Ministry of Statistics and Programme Implementation. IV. It is conducted by the Ministry of Housing and Urban Affairs. Select the answer using the code given below. (a) I and IV only (b) II and III only (c) 1, I and (@) 1, I and Iv [P.T.0. 66. Which of the following statements are correct regarding ‘Agriculture Census’? I. The latest Agriculture Census has 2021-2022 as reference period. Il. It is conducted every five years. Ill. It is conducted by the Ministry of Statistics and Programme Implementation. IV. It is conducted by the Ministry of Agriculture and Farmers’ Welfare. Select the answer using the code given below. (a) 1 and IV only (b) Il and III only (c) 1, Il and Il (d) I, Il and IV 67. Which of the following components has the highest share in the expenditure component of Gross Domestic Product (revised base)? (a) Gross Fixed Capital (GFCF) (b) Government Final Consumption Expenditure (GFCE) (c) Private Final Expenditure (PFCE) (ad) Exports (X) Formation Consumption 68. Why are official statistics considered ‘public good’? I. They are financed from general tax revenue. Il. Their use by one person does not affect the use by others. Ill. They are used by public officials but private persons are denied access to them. Select the correct answer using the code given below. (a) 1 and II only (b) Il and II only (c) I and III only (d) I, II and III SNCS-B-STS/68A 18 69. Consider the following pairs : Index Released by CPI-IW Labour Bureau, Ministry of Labour and Employment Il. CPI-AL/RL National Sample Survey Office, Ministry of Statistics and Programme Implemen- tation Ill. CPI-U, R, National Statistical Office, Ministry of Statistics and Programme Implementation Combined WPI Office of the Economic Advisor, Ministry of Commerce and Industry 70. How many of the pairs given above are correctly matched? (a) One (b) Two (c) Three (d) All the four statements Statistical Consider the following regarding the National Commission (NSC) : I. NSC is statutory body created through an Act passed by the Parliament in 2003. Il. NSC has a part-time Chairperson, part-time Members and an ex officio Member. Ill. The Chief Statistician of India (CSI) and Secretary to the Government of India in the Ministry of Statistics and Programme Implementation is the Secretary to NSC. Which of the statements given above is/are correct? (a) 1 and Il (b) I and III (c) Ill only (a) II only 71. As per the constitutional provisions in India, the subject matter of collection of Statistics comes under the I. Union List Il. State List Ill. Concurrent List Which of the above is/are correct? (a) I only (b) II only (c) 1 and Ill only (da) 1, Il and II 72. The Sustainable Development Goals (SDGs) framework has been developed by which one of the following agencies? (a) The United Nations to track various socio-economic indicators for gender awareness (b) The United Nations to measure progress across nations in respect of designated goals, targets and indicators by 2030 (c) The World Health Organization to carry out surveys and census for improving quality of life (d) The World Health Organization to measure progress across nations in respect of designated goals, targets and indicators by 2030 73. Which of the following are included in the secondary sector in the estimation of GDP? I. Manufacturing II. Construction Ill. Forestry and Fishing IV. Mining and Quarrying Select the correct answer using the code given below. (a) I and Ill (b) land II (c) I and IV (@) Tl and Ill SNCS-B-STS/68A 19 74. Which of the following is/are correctly defined? I. Neonatal Mortality Rate (NMR) is defined as Number of infant deaths of less than 29 days during NMR = the year x 1000 Number of live births during the year II. Post-Neonatal Mortality (PNMR) is defined as Rate Number of infant deaths of less than one year during PNMR = the year x 1000 Number of live births during the year Select the answer using the code given below. (a) I only (b) II only (c) Both I and II (d) Neither I nor II 75. Which of the following are correct regarding the Population Census 2027? I. It will be the 15th Census in the country. TIS cIteavills.-be -the \8th:. after, the Independence. Ill. The reference date will be 1st March, 2027. IV. The reference date will be 1st February, 2027. Select the answer using the code given below. (a) I and II (b) 1 and Ill (c) II and III (ad) II and IV [ P.T.O. 76. In general, inflation is calculated by What will be the simple aggregative which one of the following? price index for the above data? (a) Producer Price Index (a) 138-50 (b) Consumer Price Index (b) 140-00 (c) Wholesale Price Index (c) 141-25 (d) A Weighted Aggregative Price Index (a) 145-75 77. Which one of the following divisions under the Ministry of Statistics and i i Programme Implementation deals with 79. It is given that })p,9) = 2070, eSAKSHI portal? ¥ Po% = 1660, Y Poh =1470 and (a) Administrative Statistics and Policy i i i Division (ASPD) Y BAG = 1790. The Fisher’s Price Index is close to (b) Household Survey Division (HSD) ¢ ; (a) 115 (c) Data Informatics and Innovation Division (DIID) (b) 119 (d) Members of Parliament Local Area Development Scheme (MPLADS) (c) 123 Division (a) 127 78. Consider the following data : 80. In which one of the following price index numbers, weights are the arithmetic Percentage mean of the base year quantities and change current year quantities? Base Current Commodity| period period price (in 2)|price (in 2) (a) Walsch Price Index P 20 40 100 Q 50 60 20 (b) Dorbish-Bowley Price Index f oN 50 25 (c) Fisher’s Ideal Index s 20 30 50 (d) Marshall-Edgeworth Price Index SNCS-B-STS/68A 20 SPACE FOR ROUGH WORK SNCS-B-STS/68A 21 [ P.T.O. SPACE FOR ROUGH WORK SNCS-B-STS/68A 22 SPACE FOR ROUGH WORK SNCS-B-STS/68A 23 [ P.T.O. SPACE FOR ROUGH WORK kkk SNCS-B-STS/68A 24 26BS—3072