RPSC Statistical Officer Mock Test 2026 — Free, Full Length, Exam Pattern

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1. 1.

   If u be the rth order central moment of a population then µα, µ₁ and µ₂ are (where o is standard deviation)

   1. A0, 1, σ²
   2. B1, 0, σ²
   3. C1, 1, σ
   4. D1, 1, 0

   Descriptive StatisticsMoments, Skewness & Kurtosis
2. 2.

   While comparing two groups it is observed that coefficient of variation of one group is 2 along with mean as 4, while in other group coefficient of variation is 3 and mean is 8 . The ratio of two standard deviations is :

   1. A2/3
   2. B3/4
   3. C1/2
   4. D1/3

   Descriptive StatisticsMeasures of Dispersion
3. 3.

   The mean and standard deviation (S.D.) of the two factories are provided below Factory No. of Mean S.D. of employees Salary salary C 30 4800 ₹10 D 20 ₹5000 ₹12 Which factory has more consistent structure of employees salary?

   1. AC
   2. BD
   3. CSame
   4. DInformation is incomplete

   Descriptive StatisticsMeasures of Dispersion
4. 4.

   Diagram in which area of the rectangle is proportional to the frequency of the class intervals with unequal length

   1. ABar diagram
   2. BFrequency polygon
   3. CHistogram
   4. DMulti bar diagram

   Descriptive StatisticsData Collection, Classification, Tabulation & Diagrammatic Presentation
5. 5.

   For a distribution the mean is 10 and variance is 16, γι is +1 and ẞ2 is 4, then the second raw moment, skewness and kurtosis are

   1. A116, -ive and platykurtic
   2. B116, +ive and leptokurtic
   3. C84, +ive and platykurtic
   4. D84, +ive and leptokurtic

   Descriptive StatisticsMoments, Skewness & Kurtosis
6. 6.

   For a normal distribution quartile deviation, mean deviation and standard deviation are in the ratio

   1. A4:2:1
   2. B2:3:4
   3. C1:2:4
   4. D2:1:3

   Descriptive StatisticsMeasures of Dispersion
7. 7.

   Let correlation coefficient between X and Y is positive then the sign of both the regression coefficient is :

   1. Apositive
   2. Bnegative
   3. Cboth positive and negative
   4. Dopposite

   Correlation & RegressionLinear Regression & Regression Coefficients
8. 8.

   The sum of squares of difference of rank for two variables is 33 and coefficient of rank correlation is 0.8. Find the number of pairs of observations (n).

   1. A8
   2. B9
   3. C10
   4. D11

   Correlation & RegressionSimple, Rank, Multiple & Partial Correlation
9. 9.

   For the two equations 8x - 10y + 66 = 0 and 40x + 18y = 214, which of the following statement is true?

   1. ARegression co-efficient of y on x is 0.8
   2. BRegression co-efficient of x on y is 0.5
   3. CCorrelation co-efficient between x and y is 0.6
   4. DThe given two equation cannot be two regression equations

   Correlation & RegressionLinear Regression & Regression Coefficients
10. 10.

    Correlation coefficient between X1 and X2, X1 and X3 and X2 and X3 is 'r', then the partial correlation between X1 and X2 after eliminating the effect of X3 is -

    1. Ar
    2. B1-r
    3. Cr/(1+r)
    4. D(r-1)/r

    Correlation & RegressionSimple, Rank, Multiple & Partial Correlation
11. 11.

    Autocorrelation may be the result of.......

    1. Athe omission of an important explanatory variable.
    2. Bthe presence of a trend in the independent variable.
    3. Cnonlinearities in the relationship between the dependent and independent variables.
    4. Dall the above

    Correlation & RegressionLinear Regression & Regression Coefficients
12. 12.

    The Durbin-Watson statistic is used to test for.......

    1. Amulticollinearity
    2. Bautocorrelation
    3. Cheteroscedasticity
    4. Dall the above

    Correlation & RegressionLinear Regression & Regression Coefficients
13. 13.

    Let the correlation between X and Y is positive, then the sign of both regression coefficient is -

    1. APositive
    2. BNegative
    3. CBoth positive or negative
    4. DOpposite of each other

    Correlation & RegressionLinear Regression & Regression Coefficients
14. 14.

    Heteroscedasticity means that

    1. Aall X variables cannot be assumed to be homogenous
    2. Bthe variance of the error term is not constant
    3. Cthe observed units have no relations
    4. Dthe X and Y are not correlated

    Correlation & RegressionLinear Regression & Regression Coefficients
15. 15.

    If X ~ N (μ, Σ) then with usual notations T² is defined as:

    1. AT² = (x – μο)'S⁻¹ (x – μο)
    2. BT² = (x – μο)'S⁻¹ (x – μο) / 1/N
    3. CT² = N(x – μο)΄ Σ⁻¹ (x – μο)
    4. DNone of these

    Probability & DistributionsMultivariate Analysis
16. 16.

    Let f(x;r,p) denote probability distribution function of negative Binomial distribution. If r = 1 then this distribution becomes

    1. APascal
    2. BPoisson
    3. CUniform
    4. DGeometric

    Probability & DistributionsDiscrete Probability Distributions
17. 17.

    Let X ~ χ²(n) and Y ~ χ²(m) are two independent variates, then the ratio of these two chi squares distributions divided by their respective degrees of freedom follows :-

    1. Aχ² distribution
    2. BF-distribution
    3. CGamma distribution
    4. DBeta distribution of type-ll

    Probability & DistributionsSampling Distributions (Chi-square, t, F)
18. 18.

    Let statistic t follows student t-distribution with n degrees of freedom. If n=1 then this distribution reduced to

    1. AGamma distribution
    2. BStandard cauchy distribution
    3. CExponential distribution
    4. DBeta distribution of type-II

    Probability & DistributionsSampling Distributions (Chi-square, t, F)
19. 19.

    Let A and B be two events such that P(A) = 1/3, P(B)= 1/5 and P (AUB) = 11/30 then P(B|A) is :

    1. A1/2
    2. B1/4
    3. C2/3
    4. D2/5

    Probability & DistributionsProbability Theory, Bayes Theorem & Random Variables
20. 20.

    Consider the following statements : (A) Mean and variance of chi-square distribution are not same. (B) Sum of two chi-square variates are also chi-square variates. Which of the above statement/s is/are correct?

    1. AOnly (A)
    2. BOnly (B)
    3. CBoth (A) and (B)
    4. DNeither (A) nor (B).

    Probability & DistributionsSampling Distributions (Chi-square, t, F)
21. 21.

    Binomial distribution will be positively skewed when

    1. Ap>1/2
    2. Bp<1/2
    3. Cp = 1/2
    4. Dp = 0

    Probability & DistributionsDiscrete Probability Distributions
22. 22.

    Let a random variable X have the MGF, M(t) = 1 / (1 + 2et)³, The mean of X is

    1. A1/2
    2. B2
    3. C3
    4. D4

    Probability & DistributionsMathematical Expectation
23. 23.

    Cumulate generating function of non-central chi-square distribution for t <= 1/2 is -

    1. AK(t,λ) = -log (1 - 2t)
    2. BK(t,λ) = -log(1 - 2t) + λt (1 - 2t)
    3. CK(t,λ) = -1/2 log(1 - 2t) + 2t (1 – 2t)-1
    4. DK(t,λ) = -log(1 - 2t) + λt (1 - 2t)-1

    Probability & DistributionsSampling Distributions (Chi-square, t, F)
24. 24.

    Let a random variable X take values 0, 2, 4 with probabilities P(X = 0) = p, P(X = 2) = 2p and P(X = 4) = 1 -3p. If E(X) = 3 then the value of P is:

    1. A1/4
    2. B1/8
    3. C2/3
    4. D2/5

    Probability & DistributionsMathematical Expectation
25. 25.

    For a binomial variate n = 10 and P(X = 5) = 2P (X = 4) then what will be the value p?

    1. A2/8
    2. B3/8
    3. C4/8
    4. D5/8

    Probability & DistributionsDiscrete Probability Distributions
26. 26.

    Chi-square probability curve for degrees of freedom 1 and 2 is -

    1. AMonotonically increasing
    2. BMonotonically decreasing
    3. CNormal curve
    4. DConstant curve

    Probability & DistributionsSampling Distributions (Chi-square, t, F)
27. 27.

    In a normal distribution area to the right of the point x, is 0.6 and to the left of the point x, is 0.7. Which of the following is correct ?

    1. Ax1>x2
    2. Bx1<x2
    3. Cx1 = x2
    4. D(1) and (3) both

    Probability & DistributionsContinuous Distributions & Central Limit Theorem
28. 28.

    If X has a F-distribution with (m1,m2) degrees of freedom then the statistic (1+(m1/m2)X)-1 has a.....

    1. At-distribution
    2. BF-distribution
    3. Cβ-distribution
    4. Dnormal distribution

    Probability & DistributionsSampling Distributions (Chi-square, t, F)
29. 29.

    Mode of F - distribution is always

    1. Agreater than 1
    2. Bzero
    3. Cless than 1
    4. Dnone of these

    Probability & DistributionsSampling Distributions (Chi-square, t, F)
30. 30.

    In tossing three coins at a time, the probability of getting at most one head is:

    1. A3/8
    2. B7/8
    3. C1/2
    4. D1/8

    Probability & DistributionsProbability Theory, Bayes Theorem & Random Variables
31. 31.

    Probability of including a specified unit in a sample of size 4 out of 20 units is :

    1. A1/5
    2. B1/4
    3. C1/20
    4. D1/80

    Probability & DistributionsProbability Theory, Bayes Theorem & Random Variables
32. 32.

    Which of the following distribution has range (0,∞)?

    1. ANormal distribution
    2. BCauchy distribution
    3. CBeta-2 distribution (B₂)
    4. DBeta-1 distribution (β₁)

    Probability & DistributionsContinuous Distributions & Central Limit Theorem
33. 33.

    Hotelling T² has the following distribution

    1. AChi-square distribution
    2. BNormal distribution
    3. CF-distribution
    4. DBinomial distribution

    Probability & DistributionsMultivariate Analysis
34. 34.

    Wishart distribution is a generalization of

    1. At-distribution
    2. BGamma distribution
    3. Cχ²- distribution
    4. DNone of these

    Probability & DistributionsMultivariate Analysis
35. 35.

    If X is a random variable which can take only non-negative values, then which of the following is true?

    1. AE (X²) = | E(X) |²
    2. BE (X²) ≥ | E(X) |²
    3. CE (X²) ≤ | E(X) |²
    4. DNone of the above

    Probability & DistributionsMathematical Expectation
36. 36.

    Let X follows p-variate normal distribution with mean vector μ and variance covariance matrix Σ, that is, X~Nₚ(μ, Σ), then Y = cX follows

    1. ANₚ(μ, Σ²)
    2. BNₚ(cμ, cΣc')
    3. CNₚ(cμ, c²Σ)
    4. DNₚ(cμc', cc')

    Probability & DistributionsMultivariate Analysis
37. 37.

    There are 2 white and 4 black balls in a box. A person takes 3 balls at random from the box. If he receives Rs. 10 for each white ball and Rs. 5 for each black ball. What will be expected value of the amount received by him ?

    1. ARs. 5
    2. BRs. 10
    3. CRs. 20
    4. DRs. 22

    Probability & DistributionsMathematical Expectation
38. 38.

    A random sample of size 100 has mean 15, the population variance being 25. Then 95% confidence interval for mean is

    1. A(13.71, 16.29)
    2. B(14.02, 15.98)
    3. C(13.71, 14.02)
    4. D(13.71, 15.98)

    Statistical InferenceTheory of Estimation & Properties of Estimators
39. 39.

    Let 0 be an unknown parameter and T₁ be an unbiased estimator of 0, V(T₁)≤V(T₂), for T₂ be any other unbiased estimator of 0, then T₁ is known as

    1. Aminimum variance unbiased estimator
    2. Bunbiased and efficient estimator
    3. Cconsistent and efficient estimator
    4. Dunbiased and consistent estimator

    Statistical InferenceTheory of Estimation & Properties of Estimators
40. 40.

    Wald-Wolfowitz run test for two samples is affected when the ties occur

    1. Awithin sample
    2. Bbetween sample
    3. Cneither between nor within
    4. Deither within or between

    Statistical InferenceNon-Parametric Tests
41. 41.

    In case of sign test for paired samples, the hypothesis is to test the

    1. Adifference of means
    2. Bdifference of median
    3. Cdifference of two distribution functions
    4. Dnone of these

    Statistical InferenceNon-Parametric Tests
42. 42.

    If X1, X2,..............Xn are i.i.d. variates from a density function f (x, θ), then the Cramer-Rao bound on the variance of an estimator Tn of τ (θ) is given by -

    1. AVb(Tn) ≥ [τ(θ)]² / nE[log f(x,0)]
    2. BVb(Tn) ≥ [τ'(θ)]² / nE[log f(x,0)]
    3. CVb(Tn) ≥ [τ'(θ)]² / nE[d²log f(x,0)/dθ²]
    4. DVb(Tn) ≥ [τ'(θ)]² / nE[d²log f(x,0)/dθ²]

    Statistical InferenceMethods of Estimation & Cramer-Rao Inequality
43. 43.

    Which of the following test is analogous to chi-square test of goodness of fit ?

    1. Amedian test
    2. BKolmogrove-Simirnov test
    3. Csign test
    4. Drun test

    Statistical InferenceNon-Parametric Tests
44. 44.

    If t<0xE2><0x82><0x99> is a sufficient estimator for θ, then ∂/∂θ log L is a function of only:

    1. At<0xE2><0x82><0x99>
    2. Bθ
    3. Ct<0xE2><0x82><0x99> and θ
    4. Dt<0xE2><0x82><0x99>, θ and (x₁,x₂,.....)

    Statistical InferenceTheory of Estimation & Properties of Estimators
45. 45.

    Neyman Pearson lemma provides most powerful test for testing

    1. Asimple null hypothesis vs simple alternative
    2. Bcomposite null hypothesis vs simple alternative
    3. Csimple null hypothesis vs composite alternative
    4. Dcomposite null hypothesis vs composite alternative

    Statistical InferenceTesting of Hypothesis (Parametric)
46. 46.

    A null hypothesis is (i) hypothesis of zero difference (ii) hypothesis under test for possible rejection (iii) always a simple hypothesis. Choose the correct answer:

    1. A(i) and (ii)
    2. B(i) and (iii)
    3. C(ii) and (iii)
    4. D(i), (ii) and (iii)

    Statistical InferenceTesting of Hypothesis (Parametric)
47. 47.

    Given f(x, θ) = 1/θ; 0 ≤ x ≤ θ for testing H₀ : θ = 1 Vs. H₁ : θ = 2, the critical region x ≥ 0.5 is obtained, then size of the test is

    1. A0
    2. B0.5
    3. C0.75
    4. D0.25

    Statistical InferenceTesting of Hypothesis (Parametric)
48. 48.

    If the sample size in Wald-Wolfowitz run tests is large then number of runs R is distributed with mean:

    1. A2m/m+n +1
    2. B2n/m+n +1
    3. C2mn/m+n +1
    4. D2mn/m+n +1

    Statistical InferenceNon-Parametric Tests
49. 49.

    If f(x, θ) = 1/θ; 0 ≤ x ≤ θ 0 otherwise For testing the null hypothesis H₀: θ = 1 against H₁: θ = 2 base on a single observation x the size of type-l error if we choose critical region as 0.5 ≤ x is

    1. A0.25
    2. B0.60
    3. C0.80
    4. D0.50

    Statistical InferenceTesting of Hypothesis (Parametric)
50. 50.

    Rao-Blackwell theorem enables us to obtain minimum. variance unbiased estimator through :

    1. AUnbiased Statistic
    2. BComplete Statistic
    3. CEfficient Statistic
    4. DSufficient Statistic

    Statistical InferenceTheory of Estimation & Properties of Estimators
51. 51.

    In a given situation where both parametric tests and non parametric tests are applicable, which of the following is true ?

    1. Anon parametric tests are always more efficient than parametric tests
    2. Bnon parametric tests are always less efficient than parametric tests
    3. Cnon parametric tests can be more efficient than parametric tests
    4. Dnon parametric tests can be used only when n is large

    Statistical InferenceNon-Parametric Tests
52. 52.

    The power of a test is related to

    1. Asize of type I error
    2. Bsize of type II error
    3. Csizes of type I and II errors
    4. Dtype of test

    Statistical InferenceTesting of Hypothesis (Parametric)
53. 53.

    A range of values within which the population parameter is likely to occur is called

    1. AConfidence interval
    2. BConfidence measure
    3. CConfidence coefficient
    4. DConfidence range

    Statistical InferenceTheory of Estimation & Properties of Estimators
54. 54.

    Which of the following is a case of Type II error ? (1) the null hypothesis is true and rejected (2) the null hypothesis is false and accepted (3) the null hypothesis is true and accepted (4) the null hypothesis is false and rejected

    1. Athe null hypothesis is true and rejected
    2. Bthe null hypothesis is false and accepted
    3. Cthe null hypothesis is true and accepted
    4. Dthe null hypothesis is false and rejected

    Statistical InferenceTesting of Hypothesis (Parametric)
55. 55.

    If we want to compare proportions, when samples are small, then the test is based on

    1. AF-distribution
    2. Bbinomial distribution
    3. Ct-distribution
    4. Dnone of these

    Statistical InferenceTesting of Hypothesis (Parametric)
56. 56.

    When the procedure of selecting units in the stratra is specified then which of the following statement is NOT correct for the procedure of stratification?

    1. ADetermining the number of stratra
    2. BAllocation of sample size to the stratra
    3. CDetermination of stratra such that the sampling variance is minimized for the given cost
    4. Dnone of these

    Sampling & Design of ExperimentsSampling Methods & Estimation Techniques
57. 57.

    Randomization is a process which enables the experiment to

    1. Aapply mathematical theories
    2. Bmake probability statement
    3. Ctreat errors independent
    4. Dall the above

    Sampling & Design of ExperimentsDesign of Experiments (CRD, RBD, LSD, Factorial)
58. 58.

    There are more chances of non sampling errors than sampling errors in case of

    1. Astudies of large samples
    2. Bcomplete enumeration
    3. Cinefficient investigators
    4. Dall the above

    Sampling & Design of ExperimentsSampling Concepts & Errors
59. 59.

    Local control is a device to maintain :

    1. AHomogeneity between blocks.
    2. BHomogeneity between plots within a block.
    3. CHomogeneity between blocks and Homogeneity between plots within a block both.
    4. DHeterogeneity between plots within a block

    Sampling & Design of ExperimentsDesign of Experiments (CRD, RBD, LSD, Factorial)
60. 60.

    A systematic sampling does not give good results if

    1. Avariation in units is periodic
    2. Bunits at regular intervals are correlated
    3. Cboth (1) and (2)
    4. Dnone of (1) and (2)

    Sampling & Design of ExperimentsSampling Methods & Estimation Techniques
61. 61.

    With usual notation in stratified sampling the estimate of the variance of under proportion allocation is

    1. AV(Xst) = (N-n)/N * Σ(wi² Si²/ni)
    2. BV(Xst) = (1-n/N) * Σ(wi² Si²/ni)
    3. CV(Xst) = (1-n/N) * Σ(wi Si²/ni)
    4. DV(Xst) = (1-n/N) * Σ(wi² Si²/ni)

    Sampling & Design of ExperimentsSampling Methods & Estimation Techniques
62. 62.

    Experimental error is due to:

    1. AA) extraneous factors
    2. BB) experimenter's mistake
    3. CC) variation in treatments
    4. DD) None of these

    Sampling & Design of ExperimentsDesign of Experiments (CRD, RBD, LSD, Factorial)
63. 63.

    If the probability of selecting a unit from the population is not known in advance then the resultant sampling scheme will be

    1. Asimple random sampling
    2. Bstratified sampling
    3. Cpurposing sampling
    4. Dsystematic sampling

    Sampling & Design of ExperimentsSampling Methods & Estimation Techniques
64. 64.

    A 24 factorial experiment is confounded into a block of size 4. Total number of generalized interaction(s) is / are

    1. AA) 1
    2. BB) 2
    3. CC) 3
    4. DD) 4

    Sampling & Design of ExperimentsDesign of Experiments (CRD, RBD, LSD, Factorial)
65. 65.

    Equality of several normal population means can be tested by -

    1. ABartlett's test
    2. Bt-test
    3. CF-test
    4. Dχ² - test

    Sampling & Design of ExperimentsAnalysis of Variance (ANOVA)
66. 66.

    In simple random sampling without replacement, the sampling variance of the regression estimator is

    1. AV(ŷr) = (1-f)/n . Sxy (1-p²)
    2. BV(ŷr) = (1+f)/n . Sxy (1-p²)
    3. CV(ŷr) = (1-f)/n . Sxy (1+p²)
    4. DV(ŷr) = (1-f)/n . Sxy (1-p²)

    Sampling & Design of ExperimentsSampling Methods & Estimation Techniques
67. 67.

    Sampling frame is

    1. Amethod of drawing sample
    2. Blist of units of sample
    3. Clist of units of population
    4. Dlist of questions

    Sampling & Design of ExperimentsSampling Concepts & Errors
68. 68.

    If p is the inter class correlation, then cluster sampling will be more efficient than simple random sampling if

    1. Ap<0
    2. B0<p<1
    3. Cp = 1
    4. Dnone of these

    Sampling & Design of ExperimentsSampling Methods & Estimation Techniques
69. 69.

    An unbiased estimator of the population of unemployed in Udaipur City is P. The formula for the unbiased estimator of the variance of this estimator is CP (1 - P). The value of C is

    1. A(N-n)/Nn
    2. B(N-1)n/(N-n)
    3. CN(n-1)/(N-n)
    4. D(N-1)(n-1)/(N-n)

    Sampling & Design of ExperimentsSampling Methods & Estimation Techniques
70. 70.

    The interaction AB is confounded in a 2³ factorial experiment, the entries of two blocks in a replicate will be :

    1. AB1 (b) (ac) (bc) (a) B2 (1) (ab) (c) (abc)
    2. BB1 (1) (ab) (a) (b) B2 (abc) (c) (bc) (ac)
    3. CB1 (1) (ab) (ac) (bc) B2 (abc) (a) (b) (c)
    4. DB1 (abc) (bc) (ac) (c) B2 (ab) (a) (b) (1)

    Sampling & Design of ExperimentsDesign of Experiments (CRD, RBD, LSD, Factorial)
71. 71.

    In a time series, Harmonic analysis method is based on the function yt expressed in the form of :

    1. AA) Taylor's series
    2. BB) Harmonic series
    3. CC) Fourier series
    4. DD) None of these

    Applied StatisticsTime Series Analysis
72. 72.

    Gross reproduction rate is defined as -

    1. Atotal fertililry rate × female live births total live births
    2. Btotal live births × female population
    3. Ctotal fertilty rate x total live births female live births
    4. Dtotal fertililty rate female live births

    Applied StatisticsVital Statistics & Demography
73. 73.

    Vital statistics can be obtained by

    1. Acensus method
    2. Bsample survey method
    3. Csystem of registration
    4. Dall of these

    Applied StatisticsVital Statistics & Demography
74. 74.

    Under usual assumption in time series data y₁ = Bo + B1 Yt-1 + Et is a type of

    1. AA) Linear regression model
    2. BB) Auto regressive model
    3. CC) Non linear regression model
    4. DD) Multiple regression model

    Applied StatisticsTime Series Analysis
75. 75.

    Marshall Edgeworth index lies between

    1. ALaspeyre's and Paasche's indices
    2. BLaspeyre's and Fisher's indices
    3. CDrobish-Bowley and Walsh indices
    4. DNone of the above

    Applied StatisticsIndex Numbers
76. 76.

    Under usual assumption in time series data yt = Bo + B1 yt-1 + et is -

    1. ALinear regression model
    2. BAuto regression model
    3. CNon-linear regression model
    4. DMultiple regression model

    Applied StatisticsTime Series Analysis
77. 77.

    Which of the following method is used to measure seasonal variations comparatively less utilize the given data?

    1. ASimple average method
    2. BRatio to trend method
    3. CRatio to moving average method
    4. DLink relative method

    Applied StatisticsTime Series Analysis
78. 78.

    For a population, if – (i) NRR = GRR, all the new born girls survive till the end of their reproductive age. (ii) NRR = 1, then for a given fertility and female mortality, a group of new born girls will exactly replace in the the outgoing females reproduction age group. Choose your answer from the following:

    1. AOnly (i) is correct
    2. BOnly (ii) is correct.
    3. CBoth (i) & (ii) are correct
    4. DNone of them are correct

    Applied StatisticsVital Statistics & Demography
79. 79.

    If total fertility rate is 1050 and the ratio of female birth to male is 100 : 110 then gross reproductive rate is :

    1. A500
    2. B2500
    3. C550
    4. D1155

    Applied StatisticsVital Statistics & Demography
80. 80.

    Which of the following satisfies factor Reversal Test?

    1. ALaspeyre's Index
    2. BPaasche's Index
    3. CWalsh Index
    4. DNone of these

    Applied StatisticsIndex Numbers
81. 81.

    Estimation of population, for a particular year using Analytical method, is obtained from

    1. APo + n/N (P1 - Po)
    2. BP1 + n/N (P1 - Po)
    3. CPo + n/N (Po - P1)
    4. DPo + n(Po - P₁)

    Applied StatisticsVital Statistics & Demography
82. 82.

    In case of multiplicative model of time series, the sum of seasonal indices is

    1. A100 times the number of season
    2. Bzero
    3. C100
    4. DΣ(0;-;)le;

    Applied StatisticsTime Series Analysis
83. 83.

    In which year first census of free India was conducted ?

    1. A1948
    2. B1950
    3. C1951
    4. D1952

    Applied StatisticsVital Statistics & Demography
84. 84.

    Number of children born alive per 1000 women of child bearing age in a given year and region is

    1. ATotal fertility rate
    2. BAge specific fertility rate
    3. CGeneral fertility rate
    4. DGeneral martial fertility rate

    Applied StatisticsVital Statistics & Demography
85. 85.

    The ratio of births to the total death in a year is called :

    1. ASurvival Rate
    2. BTotal Fertility Index
    3. CVital Index
    4. DPopulation Death Rate

    Applied StatisticsVital Statistics & Demography
86. 86.

    The Indian Livestock Census held every year.

    1. A5th
    2. B8th
    3. C4th
    4. D10th

    Applied StatisticsStatistical Organization of India & Official Statistics
87. 87.

    The district in Rajasthan where lowest percentage decadal change in rural population during 2001-2011 has been registered, is - (1) Sri Ganganagar (2) Jhunjhunu (3) Kota (4) Baran

    1. ASri Ganganagar
    2. BJhunjhunu
    3. CKota
    4. DBaran

    Applied StatisticsVital Statistics & Demography
88. 88.

    Census Organisation works in the control of:

    1. AC.S.O.
    2. BN.S.S.O.
    3. CRegistrar General of India
    4. DPlanning Commission

    Applied StatisticsStatistical Organization of India & Official Statistics
89. 89.

    Agricultural Statistics is mostly collected by : (A) Department of Economics and Statistics at central level. (B) Department of Economics and Statistics at state level.

    1. A(A)
    2. B(B)
    3. Cboth (A) and (B)
    4. Dnone of these

    Applied StatisticsStatistical Organization of India & Official Statistics
90. 90.

    Using base shifting method, the new base index number is obtained from

    1. Aold index number of current year / index number of new base year * 100
    2. Bold index number of old year / index number of new base year * 100
    3. Cnew index number of current year / index number of new base year * 100
    4. DNone of these

    Applied StatisticsIndex Numbers
91. 91.

    Given the annual trend equation for production of units in a certain factory is Y = 49.6 + 9.6 X The quarterly increment is

    1. A49.6
    2. B9.6
    3. C12.4
    4. D2.4

    Applied StatisticsTime Series Analysis
92. 92.

    Which of the following is true about measuring income equality? (i) Complete equality refers to a straight line represented by the Lorenz curve. (ii) Complete equality would result in a Gini coefficient of 100. Choose the correct answer:

    1. Aonly (i) is correct.
    2. Bonly (ii) is correct.
    3. Cboth (i) and (ii) are correct.
    4. DNeither (i) nor (ii) is correct.

    EconomicsGrowth, Development & Indian Economy
93. 93.

    Which of the following pillar does not belong to key approach of Foreign Trade Policy 2023?

    1. AExport Promotion through collaboration - Exporters, States, Districts, Indian Missions.
    2. BEase of doing business, reduction in transaction cost and e-initiatives.
    3. CEmerging areas E-commerce developing districts as export hubs and streamlining SCOMET (Special Chemicals, Organisms, Materials, Equipment and Technologies) Policy
    4. DDeveloping New SEZs in major industrial States of India

    EconomicsInternational Economics
94. 94.

    Which of the following State of India became the first state in the world to become fully organic farming?

    1. AUttarakhand
    2. BSikkim
    3. CTripura
    4. DJharkhand

    EconomicsGrowth, Development & Indian Economy
95. 95.

    In which of the following summit Agenda 21 were adopted?

    1. AThe Earth Summit in Rio de Janeiro, Brazil, June 1992.
    2. BThe Millennium Summit, New York, September 2000.
    3. CWorld Summit on Sustainable Development in South Africa 2002.
    4. DUN Sustainable Development Summit in September 2015.

    EconomicsGrowth, Development & Indian Economy
96. 96.

    According to the principle of diminishing marginal utility,

    1. Amarginal utility stays the same
    2. Btotal utility stays the same
    3. Cmarginal utility decreases with each additional unit of a good that is consumed
    4. Dtotal utility declines

    EconomicsMicro Economics
97. 97.

    The closer the Lorenz curve for income is to the line of equality represents - (1) the larger the nation's total income (2) the smaller the nation's total income (3) the greater the degree of inequality of income (4) the smaller the degree of inequality of income

    1. Athe larger the nation's total income
    2. Bthe smaller the nation's total income
    3. Cthe greater the degree of inequality of income
    4. Dthe smaller the degree of inequality of income

    EconomicsMicro Economics
98. 98.

    In which indicator of Human Development Report, 2020, India is even lagging behind from Bangladesh? (1) Life expectancy at Birth (in years) (2) Expected years of schooling (in years) (3) Mean years of schooling (in years) (4) Gross National Income (GNI) per capita (in PPP)

    1. ALife expectancy at Birth (in years)
    2. BExpected years of schooling (in years)
    3. CMean years of schooling (in years)
    4. DGross National Income (GNI) per capita (in PPP)

    EconomicsGrowth, Development & Indian Economy
99. 99.

    Effective revenue deficit in the Union budget of India denotes -

    1. ARevenue deficit grants-in-aid for creation of capital assets
    2. BRevenue deficit + grants-in-aid for creation of capital assets
    3. CRevenue deficit - interest payments
    4. DRevenue deficit + interest payments

    EconomicsPublic Finance
100. 100.

     The price elasticity of demand for a product is greater if

     1. AThe proportion of the good of the consumer's budget is high
     2. BImports decrease
     3. CThe product is a necessity
     4. DThe number of substitute products is limited

     EconomicsMicro Economics
101. 101.

     Which of the following statements are correct about Goods and Services Tax in India?

     1. Aonly (i) and (ii)
     2. Bonly (ii) and (iii)
     3. Conly (iii) and (i)
     4. DAll (i), (ii) and (iii)

     EconomicsPublic Finance
102. 102.

     To increase the money supply in the economy, the Central Bank of a country

     1. Apurchases Government securities in the open market
     2. Braises the required reserve ratio
     3. Craises the level of interest rate
     4. Dsells Government securities in the open market

     EconomicsMacro Economics
103. 103.

     Which of the following transaction is a debit in the current account of balance of payment?

     1. AExport of merchandise
     2. BExport of services
     3. CTransfer payments to foreigners
     4. DTransfer payments from foreigners

     EconomicsInternational Economics
104. 104.

     Which of the following fact is wrong about Agriculture Infrastructure Fund in India?

     1. AThis fund was launched on 09.08.2020.
     2. BThis scheme is operational from the year 2020-21 to 2029-30.
     3. CUnder this scheme Rupees 1 Lakh Crore will be provided by banks and financial institutions.
     4. DUnder this scheme Rupees 1 Lakh Crore will be provided to the farmers without interest.

     EconomicsGrowth, Development & Indian Economy
105. 105.

     The Pradhan Mantri Rojgar Protsahan Yojana (PMRPY) was launched on -

     1. AAugust, 2016
     2. BNovember, 2020
     3. CAugust, 2019
     4. DDecember, 2019

     EconomicsGrowth, Development & Indian Economy
106. 106.

     When real income rather than money income is kept constant in drawing consumer's demand curve for a commodity, the demand curve is

     1. Asometimes negatively sloped
     2. Bnever negatively sloped
     3. Calways negatively sloped
     4. Doften negatively sloped

     EconomicsMicro Economics
107. 107.

     If w = f(z) is a regular function of z, where f'(z) ≠ 0; then the value of (+)log|f'(z)| is -

     1. A-1
     2. B0
     3. C1
     4. D2

     MathematicsComplex Analysis & Beta-Gamma Functions
108. 108.

     If u = (x² + y² + z²)1/2, then 02u 02u 02u + + is equal to: 0x2. dy2 0z2

     1. A1/u
     2. B2/u
     3. C3/u
     4. D4/u

     MathematicsCalculus
109. 109.

     Among the following relations, which one is not a recurrence relation?

     1. AXJn+1(x) +x Jn-1(x) = 2n Jn(x)
     2. BJn+1(x) - Jn-1(x) = 2 J' (x)
     3. Cx J'(x) = - n Jn(x) + x Jn-1(x)
     4. Dx J'(x) = n Jn(x) – x Jn+1(x)

     MathematicsSpecial Functions & Integral Transforms
110. 110.

     The general solution of differential equation x + y = y²log x is': dx dy

     1. A1/y² = log x + 1 + cx
     2. By² = log x + 1 + cx
     3. Cy = log x + 1 + cx
     4. D1/y = log x + 1 + cx

     MathematicsDifferential Equations
111. 111.

     If α, β are roots of the equation x² - a(x + 1) – b = 0, then α² + 2α + 1 β² + 2β + 1 + is equal to: a² + 2a + b β² + 2β + b

     1. A0
     2. B1
     3. Ca + b
     4. D-a/b

     MathematicsAlgebra & Matrices
112. 112.

     By applying Lagrange's mean value theorem to the function f(x) = (x + 1) (x + 2) in the interval [0, 1], the value of 'C' is obtained as:

     1. A0
     2. B1/2
     3. C1/3
     4. D1/4

     MathematicsCalculus
113. 113.

     Solution of (dy) - ax3 = 0, is -

     1. A25(y+c)² = 4ax3
     2. B4(y+c)² = 25ax³
     3. C25(y+c)2 = 4ax5
     4. D4(y+c)² = 25ax³

     MathematicsDifferential Equations
114. 114.

     The rank of matrix A = is -

     1. A0
     2. B1
     3. C2
     4. D3

     MathematicsAlgebra & Matrices
115. 115.

     If the Laurent's expansion of the function f(z) = is valid in the region |z| > 2, then the coefficient of is -

     1. A1
     2. B2
     3. C8
     4. D-1

     MathematicsComplex Analysis & Beta-Gamma Functions
116. 116.

     Singular solution for partial differential equation z = px + qy + pq, (Here p=dz/dx, q=dz/dy) is.

     1. Ax+y+z=0
     2. Bxyz = 0
     3. Cz + xy = 0
     4. Dz-cxy = 0

     MathematicsDifferential Equations
117. 117.

     ∫ tan²xdx =

     1. Aπ/2 sec(π/2)
     2. Bπ/2 sec(π/2)
     3. Csin((n+1)π)/2
     4. Dasin((n+1)π)/2

     MathematicsCalculus
118. 118.

     If any matrix A has eigen values 1 and 4 with corresponding eigen vectors [1] and [2] respectively, then the matrix A is –

     1. A[22]
     2. B[2]
     3. C[3]
     4. D[48]

     MathematicsAlgebra & Matrices
119. 119.

     The particular integral of the differential equation (D² + 2D + 1) y = x cos x is:

     1. A(x cos x + sin x - cosx).
     2. B(x sin x + cos x + sin x)
     3. C(x sin x + cos x - sin x).
     4. D(x cos x + sinx + cos x)

     MathematicsDifferential Equations
120. 120.

     RTGS stands for

     1. AReal Time Gross Settlement
     2. BReal Transaction Gross Search
     3. CReal Transaction Gross System
     4. DReal Time Gross System

     Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital Payments
121. 121.

     Function library of MS Excel does not include formulas of the following category:

     1. ALogical Formula
     2. BDate and Time Formula
     3. CChemical Formula
     4. DFinancial Formula

     Fundamentals of IT & Computer ApplicationsOffice Productivity Software (Word, Spreadsheet, Presentation, Accounting)
122. 122.

     If a citizen wishes to lodge his/her grievances to a particular department of the Rajasthan State Government, which of the following e-governance platform should he/she use?

     1. ARaj Masters
     2. BShala Darpan
     3. CRajasthan Sampark
     4. DVikas Darpan

     Fundamentals of IT & Computer ApplicationsGIS & E-Governance in Rajasthan
123. 123.

     A student wants to add bookmark to a PowerPoint video. He needs to follow these steps:

     1. AClick on Insert tab and add bookmark.
     2. BClock on Playback tab and add bookmark.
     3. CClick on View tab and add bookmark.
     4. DClick on Design tab and add bookmark..

     Fundamentals of IT & Computer ApplicationsOffice Productivity Software (Word, Spreadsheet, Presentation, Accounting)
124. 124.

     A digital signature is a technique which validates

     1. AAuthenticity
     2. BIntegrity
     3. CNon-repudiation
     4. DAll of these

     Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital Payments
125. 125.

     In context of IPSecurity(IPSec) choose true statement -

     1. AIPSec supports IPv4 but does not support IPv6
     2. BThe ESP protocol provides source authentication but not privacy
     3. CThe AH protocol provides privacy but not data integrity
     4. DIPSec is designed to provide security at network layer

     Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital Payments
126. 126.

     Which of the following is a type of independent malicious program that never require any host program?

     1. ATrojan Horse
     2. BWorm
     3. CTrap door
     4. DVirus

     Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital Payments
127. 127.

     In context of cyber security, which of the following is a passive attack?

     1. AMasquerade
     2. BTraffic Analysis
     3. CReplay
     4. DDenial of Service

     Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital Payments
128. 128.

     What is RajCAD?

     1. AA self service ATM to avail G2C and B2C service.
     2. BAn End-to-End automation system incorporating all the routine workflows & processes.
     3. CA system to provide e-learning courses & online trainings to Government Departments.
     4. DNone of these

     Fundamentals of IT & Computer ApplicationsGIS & E-Governance in Rajasthan
129. 129.

     To hold row and column titles in place, so that they do not scroll when you scroll a worksheet, click the

     1. AFreeze panes command on the View menu
     2. BUnfreeze panes command on the View menu
     3. CHold panes command on the View menu
     4. DSplit command on the View menu

     Fundamentals of IT & Computer ApplicationsOffice Productivity Software (Word, Spreadsheet, Presentation, Accounting)
130. 130.

     Places to be included in the first phase of Delhi Mumbai Industrial Corridor

     1. AKhushkhera, Bhiwadi, Nimrana
     2. BSikar, Jhunjhunu, Churu
     3. CJaipur, Dausa, Tonk
     4. DKhushkhera, Bhiwadi, Behror

     General Knowledge of RajasthanSchemes, Initiatives & Current Affairs of Rajasthan
131. 131.

     Who among the following Chauhan rulers built the Harshnath Temple?

     1. AChandanraj
     2. BAjayraj
     3. CGuvak-I
     4. DVakpatiraj

     General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)
132. 132.

     Which of the following is a stringed musical instrument ?

     1. Aonly (i)
     2. Bonly (iii)
     3. Conly (i) and (iii)
     4. D(i), (ii) & (iii)

     General Knowledge of RajasthanArt, Culture, Religion, Language & Literature
133. 133.

     Which among the following is not a main cause of desertification? (1) Recurrence of drought (2) Overgrazing (3) Air pollution (4) Population pressure

     1. ARecurrence of drought
     2. BOvergrazing
     3. CAir pollution
     4. DPopulation pressure

     General Knowledge of RajasthanGeography of Rajasthan
134. 134.

     Most suitable match of Column-1 and Column-2 is -

     1. A1-c,2-e,3-b,4-a,5-b
     2. B1-e,2-c,3-d,4-b,5-a
     3. C1-b,2-a,3-c,4-e,5-d
     4. D1-a,2-d,3-e,4-b,5-c

     General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)
135. 135.

     In which among the following areas sub-tropical evergreen forests are found?

     1. AKelwada
     2. BKolayat
     3. CAbu
     4. DSuratgarh

     General Knowledge of RajasthanGeography of Rajasthan
136. 136.

     Which of the following books are written by Maharana Kumbha of Mewar? Select the correct answer using the code given below - (A) Sudha Prabandh (B) • Chandi Shatak (C) Rajvallabh (D) Vastu Manjari Code - (1) (A) and (B) only (2) (C) and. (D) only (3) (A), (B) and (C) only (4) (A), (B), (C) and (D)

     1. A(A) and (B) only
     2. B(C) and. (D) only
     3. C(A), (B) and (C) only
     4. D(A), (B), (C) and (D)

     General Knowledge of RajasthanArt, Culture, Religion, Language & Literature
137. 137.

     Rampura-Agucha lead and zinc mines in Rajasthan are located in the district of - (1) Bhilwara (3) Pratapgarh (2) Udaipur (4) Jhunjhunu

     1. ABhilwara
     2. BUdaipur
     3. CPratapgarh
     4. DJhunjhunu

     General Knowledge of RajasthanGeography of Rajasthan
138. 138.

     The editor of 'Praja Sevak' newspaper was - (1) Kanak Madhukar (2) Braj Dayal Sharma (3) Achaleshwar Prasad Sharma (4) Devi Shankar Tiwari

     1. AKanak Madhukar
     2. BBraj Dayal Sharma
     3. CAchaleshwar Prasad Sharma
     4. DDevi Shankar Tiwari

     General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)
139. 139.

     The Bhatner Fort is located in the district of - (1) Hanumangarh (2) Jaipur (3) Jaisalmer (4) Sri Ganganagar

     1. AHanumangarh
     2. BJaipur
     3. CJaisalmer
     4. DSri Ganganagar

     General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)
140. 140.

     South West Monsoon arrives first in which among the following areas?

     1. ASawai Madhopur & Karauli
     2. BNagore and Jodhpur
     3. CPali and Churu
     4. DGanganagar and Hanumangarh

     General Knowledge of RajasthanGeography of Rajasthan
141. 141.

     'Radha Govind Sangeet Saar' scripture was composed by which of the following ruler? (1) Sawai Jai Singh (2) Sawai Ishwar Singh (3) Maharaja Sawai Madho Singh I (4) Sawai Pratap Singh

     1. ASawai Jai Singh
     2. BSawai Ishwar Singh
     3. CMaharaja Sawai Madho Singh I
     4. DSawai Pratap Singh

     General Knowledge of RajasthanArt, Culture, Religion, Language & Literature
142. 142.

     In which major irrigation project, the sprinkler irrigation has been made mandatory in Rajasthan? (1) Mahi Canal (2) Narmada Canal (3) Indira Gandhi Canal (4) Chambal Canal

     1. AMahi Canal
     2. BNarmada Canal
     3. CIndira Gandhi Canal
     4. DChambal Canal

     General Knowledge of RajasthanGeography of Rajasthan
143. 143.

     Which of the following rivers drain in Rann of Kutch?

     1. AWest Banas and Luni
     2. BMahi and West Banas
     3. CSabarmati and Luni
     4. DMahi and Luni

     General Knowledge of RajasthanGeography of Rajasthan
144. 144.

     Sandy Arid Plains and Semi-Arid Plains of Rajasthan are separated with the isohyet of – (1) 20 cm (3) 10 cm (2) 30 cm (4) 25 cm

     1. A20 cm
     2. B30 cm
     3. C10 cm
     4. D25 cm

     General Knowledge of RajasthanGeography of Rajasthan
145. 145.

     Two districts of Rajasthan which come under the National Capital Region are

     1. AJaipur, Dausa
     2. BAlwar, Jhunjhunu
     3. CAlwar, Bharatpur
     4. DBharatpur, Dholpur

     General Knowledge of RajasthanGeography of Rajasthan
146. 146.

     The Parwan Major Irrigation Project of Rajasthan is located in the district of - (1) Dholpur (3) Chittorgarh (2) Jhalawar (4) Kota

     1. ADholpur
     2. BJhalawar
     3. CChittorgarh
     4. DKota

     General Knowledge of RajasthanGeography of Rajasthan
147. 147.

     The ruler Panjandeva / Pajvan was associated with which of the following dynasties?

     1. ABadgurjar
     2. BGuhil
     3. CChauhan
     4. DKachhawa

     General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)
148. 148.

     The painter, famous for depiction of life-size portrait is

     1. ANihal Chand
     2. BShrirangdhar
     3. CSahibram
     4. DKishan Singh

     General Knowledge of RajasthanArt, Culture, Religion, Language & Literature
149. 149.

     Which of the following fairs is not correctly matched ?

     1. AKaila Devi Fair - Karauli
     2. BKapil Muni Fair - Kota
     3. CBhartahari Fair – Alwar
     4. DSheetla Mata Fair - Chaksu

     General Knowledge of RajasthanArt, Culture, Religion, Language & Literature
150. 150.

     Which traditional textile coloring process in Rajasthan produced long lasting fragrant garments? (1) Amova (2) Malagiri (Malayagiri) (3) Pomcha (4) Sanganeri

     1. AAmova
     2. BMalagiri (Malayagiri)
     3. CPomcha
     4. DSanganeri

     General Knowledge of RajasthanArt, Culture, Religion, Language & Literature

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