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RPSC · 2023

RPSC Statistical Officer — Question Paper

Questions 142Language EnglishAnswer key official, matched

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Questions142
  1. 1.
    General Knowledge of RajasthanGeography of RajasthanQ1 in paper

    "The Chhappan Plain" is situated in which of the following Basins?

    1. AChambal Basin
    2. BMahi Basin
    3. CLuni Basin
    4. DBanas Basin
  2. 2.
    General Knowledge of RajasthanGeography of RajasthanQ2 in paper

    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
  3. 3.
    General Knowledge of RajasthanGeography of RajasthanQ3 in paper

    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
  4. 4.
    General Knowledge of RajasthanGeography of RajasthanQ4 in paper

    Aridi soil group is primarily found in which region of Rajasthan?

    1. ASouthern Rajasthan
    2. BWestern Rajasthan
    3. CNorth-Eastern Rajasthan
    4. DSouth-Eastern Rajasthan
  5. 5.
    General Knowledge of RajasthanGeography of RajasthanQ5 in paper

    Arrange the following mountain peaks of Rajasthan in descending order of their heights:

    1. AKho
    2. BBabai
    3. CTaragarh
    4. DRishikesh
  6. 6.
    General Knowledge of RajasthanGeography of RajasthanQ6 in paper

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

    1. AKelwada
    2. BKolayat
    3. CAbu
    4. DSuratgarh
  7. 7.
    General Knowledge of RajasthanGeography of RajasthanQ7 in paper

    Maize is mainly produced in

    1. ANorth-west Rajasthan
    2. BNorth-east Rajasthan
    3. CCentral Rajasthan
    4. DSouthern Rajasthan
  8. 8.
    Q8 in paper

    Match List I with List II and select the right answer using the code given below :

    1. AA B C D
    2. BI II IV III
    3. CII IV I III
    4. DI III IV II
  9. 9.
    General Knowledge of RajasthanGeography of RajasthanQ9 in paper

    Which of the following factors are related with desertification in Rajasthan?

    1. ACanal irrigation
    2. BOver grazing
    3. CSoil erosion
    4. DWind energy projects
  10. 10.
    General Knowledge of RajasthanGeography of RajasthanQ10 in paper

    Sawan-Bhado irrigation project is related with:

    1. ABaran district
    2. BUdaipur district
    3. CAjmer district
    4. DKota district
  11. 11.
    General Knowledge of RajasthanGeography of RajasthanQ11 in paper

    Which of the following is a natural gas based power plant in Rajasthan?

    1. ABarsingpur
    2. BChhabra
    3. CChittorgarh
    4. DAnta
  12. 12.
    General Knowledge of RajasthanSchemes, Initiatives & Current Affairs of RajasthanQ12 in paper

    Which of the following project was the, 'First Wind Power Project', in Rajasthan?

    1. ADevgarh Project
    2. BAmar Sagar Project
    3. CBithadi Project
    4. DDhooniya Project
  13. 13.
    Applied StatisticsVital Statistics & DemographyQ13 in paper

    As per 2011 census, how many districts in Rajasthan have more than 28 percent of the Scheduled Tribe population in their total population?

    1. A08
    2. B05
    3. C03
    4. D01
  14. 14.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ14 in paper

    'Musi Maharani's Chhatri' is located in:

    1. ADholpur
    2. BAlwar
    3. CBharatpur
    4. DKota
  15. 15.
    Q15 in paper

    Which one of the following is a breed of goat?

    1. AKankrej
    2. BSirohi
    3. CMalvi
    4. DSanchori
  16. 16.
    General Knowledge of RajasthanSchemes, Initiatives & Current Affairs of RajasthanQ16 in paper

    When was "Mission be an Exporter", (Mission Niryatak Bano) started in Rajasthan?

    1. A2020
    2. B2021
    3. C2022
    4. D2023
  17. 17.
    General Knowledge of RajasthanGeography of RajasthanQ17 in paper

    Which of the following is not correctly matched?

    1. AUranium - Rohil
    2. BFeldspar - Makreda
    3. CTungsten - Jamsar
    4. DBeryllium - Champaguda
  18. 18.
    General Knowledge of RajasthanSchemes, Initiatives & Current Affairs of RajasthanQ18 in paper

    To manage the loss of farm income due to monsoon failure, the "Sookha Suraksha Kavach Yojana" is being operated by

    1. AAgriculture Insurance Company of India
    2. BGeneral Insurance Corporation of India
    3. CNABARD
    4. DState Insurance Department of Rajasthan
  19. 19.
    General Knowledge of RajasthanSchemes, Initiatives & Current Affairs of RajasthanQ19 in paper

    'i-Start Rajasthan' is an initiative by -

    1. ADepartment of Information Technology and Communication
    2. BDepartment of College Education
    3. CDepartment of Science and Technology
    4. DDepartment of Tourism
  20. 20.
    Descriptive StatisticsMeasures of Central TendencyQ20 in paper

    If the arithmetic mean of two numbers is 5 and its geometric mean is 3, then these two numbers are :

    1. A(8, 2)
    2. B(6, 4)
    3. C(7, 3)
    4. D(9, 1)
  21. 21.
    Descriptive StatisticsMoments, Skewness & KurtosisQ21 in paper

    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
  22. 22.
    Descriptive StatisticsMeasures of Central TendencyQ22 in paper

    Milk is sold at the rates of 8, 10, 12 and 15 rupees per litre in four different months. Assuming that equal amounts are spent on milk by a family in 4 months, the average price in rupees per month is :

    1. A10.67
    2. B11.25
    3. C10.25
    4. D11.00
  23. 23.
    General Knowledge of RajasthanSchemes, Initiatives & Current Affairs of RajasthanQ23 in paper

    "Sambal Gram Scheme", in Rajasthan, is related to which of the following?

    1. AEconomic Development
    2. BSocial Security
    3. CSocial Welfare
    4. DEducational Development
  24. 24.
    Correlation & RegressionLinear Regression & Regression CoefficientsQ24 in paper

    Given the two lines of regression 3x-4y + 8 = 0 and 4x - 3y - 1 = 0. The correlation coefficient between x and y is

    1. A+1
    2. B-1
    3. C0.75
    4. D-0.75
  25. 25.
    Correlation & RegressionSimple, Rank, Multiple & Partial CorrelationQ25 in paper

    The Spearman's rank correlation coefficient is minimum if:

    1. AEdi² is minimum.
    2. BEdi² is maximum.
    3. CEdi is minimum.
    4. DEdi is maximum.
  26. 26.
    Correlation & RegressionSimple, Rank, Multiple & Partial CorrelationQ26 in paper

    If two regression lines are identical, then value of correlation coefficient will be always

    1. A-1 or +1
    2. B-1
    3. C+1
    4. D0
  27. 27.
    Correlation & RegressionSimple, Rank, Multiple & Partial CorrelationQ27 in paper

    If X1, X2 and X3 are three variables, the partial correlation between X2 and X3 eliminating the effect X₁ in terms of simple correlation coefficients is given by the formula:

    1. Ar23.1 = (r23 - r21r31) / sqrt((1-r21²)(1-r31²))
    2. Br23.1 = (r23 - r12r13) / sqrt((1-r12²)(1-r13²))
    3. Cr23.1 = (r23 - r21r31) / sqrt((1-r21)(1-r31))
    4. DAll of these
  28. 28.
    Descriptive StatisticsMeasures of DispersionQ28 in paper

    The measures of dispersion that is not influenced by the extreme values is :

    1. AVariance
    2. BMean deviation
    3. CRange
    4. DInter-quartile range
  29. 29.
    Probability & DistributionsMathematical ExpectationQ29 in paper

    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
  30. 30.
    Probability & DistributionsProbability Theory, Bayes Theorem & Random VariablesQ30 in paper

    Company A produces 10% defective items, Company B produces 20% defective items and Company C produces 5% defective items. If the chances of selection of Company is equally likely then find the chances that the product chosen is defective.

    1. A4/60
    2. B7/30
    3. C4/30
    4. D7/60
  31. 31.
    Probability & DistributionsProbability Theory, Bayes Theorem & Random VariablesQ31 in paper

    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
  32. 32.
    Probability & DistributionsSampling Distributions (Chi-square, t, F)Q32 in paper

    If Xi~N(0, 1) i = 1, 2, 3 are independent random variables, then the probability distribution of U = X₁/(X₂² + X₃²) is

    1. Aβ₂(1/2, 1/2)
    2. Bβ₁(1/2, 1/2)
    3. Cβ₂(1/2, 1)
    4. DF(1, 2)
  33. 33.
    Probability & DistributionsMathematical ExpectationQ33 in paper

    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
  34. 34.
    Probability & DistributionsProbability Theory, Bayes Theorem & Random VariablesQ34 in paper

    The probability of occurrence of an event A is 0.60 and that of B is 0.25. If A and B are mutually exclusive events then the probability neither of them will occur is:

    1. A0.35
    2. B0.15
    3. C0.75
    4. D0.85
  35. 35.
    Probability & DistributionsDiscrete Probability DistributionsQ35 in paper

    If X and Y are independent Poisson variates such that P(X = 1) = P(X = 2) and P(Y = 2) = P(Y = 3), then the variance of (X – 2Y) is :

    1. A14
    2. B8
    3. C10
    4. D15
  36. 36.
    Probability & DistributionsContinuous Distributions & Central Limit TheoremQ36 in paper

    If X and Y are two independent Gamma variates with parameters m and n respectively, then the distribution of X / (X + Y) is :

    1. AGamma distribution
    2. BBeta distribution of Type I
    3. CBeta distribution of Type II
    4. DGeometric distribution
  37. 37.
    Probability & DistributionsContinuous Distributions & Central Limit TheoremQ37 in paper

    If X and Y are two independent standard normal variates, then the distribution of X/Y is :

    1. AStandard Cauchy distribution
    2. BStandard normal distribution
    3. CGamma distribution
    4. DBeta distribution of Type I
  38. 38.
    Probability & DistributionsContinuous Distributions & Central Limit TheoremQ38 in paper

    If X ~ ẞ₂(u, v) then by which transformation between X and Y gives Y ~ β₁(u, v)?

    1. A1 + X = 1/Y
    2. B1 + Y = 1/X
    3. CX = 1 + 1/Y
    4. DX = 1 + Y
  39. 39.
    Probability & DistributionsContinuous Distributions & Central Limit TheoremQ39 in paper

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

    1. ANormal distribution
    2. BCauchy distribution
    3. CBeta-2 distribution (B₂)
    4. DBeta-1 distribution (β₁)
  40. 40.
    Probability & DistributionsMultivariate AnalysisQ41 in paper

    The relation between Mahalanobis D² and Hotelling's T² is

    1. AT² = (n₁ n₂ / (n₁ + n₂)) D²
    2. BT² = (1 / (n₁ n₂ - 1)) D²
    3. CT² = (2n₁ n₂ / (n₁ + n₂ - 2)) D²
    4. DD² = (2n₁ n₂ / (n₁ + n₂)) T²
  41. 41.
    Probability & DistributionsSampling Distributions (Chi-square, t, F)Q42 in paper

    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).
  42. 42.
    Statistical InferenceTheory of Estimation & Properties of EstimatorsQ44 in paper

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

    1. AUnbiased Statistic
    2. BComplete Statistic
    3. CEfficient Statistic
    4. DSufficient Statistic
  43. 43.
    Statistical InferenceTheory of Estimation & Properties of EstimatorsQ45 in paper

    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
  44. 44.
    Probability & DistributionsMultivariate AnalysisQ46 in paper

    If S is the covariance matrix as an estimator of ∑ from a Np (0, Σ) then A = (n - 1) S follows (where, S = [1/(N − 1)] Σ(xa xa) )

    1. AChi-square distribution
    2. BMahalanobis D² distribution
    3. CWishart distribution
    4. DHotelling's T² distribution
  45. 45.
    Statistical InferenceTheory of Estimation & Properties of EstimatorsQ47 in paper

    Let x1, x2,........, xn be a sample from density N(0, σ²), then the statistic T = (Σxi, Σxi²) for σ² is:

    1. ASufficient and complete
    2. BSufficient but not complete
    3. CComplete but not sufficient
    4. DNeither sufficient nor complete
  46. 46.
    Statistical InferenceTesting of Hypothesis (Parametric)Q48 in paper

    A test of a hypothesis is said to be an unbiased test if

    1. APower of the test is equal to size of type I error.
    2. BPower of the test is equal to size of type II error.
    3. CPower of test is larger than its size.
    4. DPower of test is smaller than its size.
  47. 47.
    Statistical InferenceTesting of Hypothesis (Parametric)Q49 in paper

    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
  48. 48.
    Statistical InferenceTesting of Hypothesis (Parametric)Q50 in paper

    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
  49. 49.
    Statistical InferenceTheory of Estimation & Properties of EstimatorsQ51 in paper

    If X1, X2, ........ Xn is a random sample from N(0, σ²), then the sufficient statistic for σ² is

    1. AΣxi
    2. BΣxi²
    3. C(Σxi)²
    4. D| Σxi |
  50. 50.
    Statistical InferenceNon-Parametric TestsQ52 in paper

    For testing randomness of a series of observations, which of the following test is used?

    1. AChi-square test
    2. BSign test
    3. CRun test
    4. DMedian test
  51. 51.
    Statistical InferenceNon-Parametric TestsQ53 in paper

    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
  52. 52.
    Statistical InferenceNon-Parametric TestsQ54 in paper

    If the size of two samples n₁ and n₂ are large in Mann-Whitney test, the variable U-is distributed with variance equal to :

    1. An₁n₂(n₁ + n₂ + 1)/12
    2. Bn₁n₂(n₁ + n₂ - 1)/12
    3. Cn₁n₂(n₁ + n₂)/12
    4. Dn₁n₂(n₁n₂ + 1)/12
  53. 53.
    Statistical InferenceTesting of Hypothesis (Parametric)Q55 in paper

    Neyman Pearson fundamental lemma provides most powerful test for testing hypothesis:

    1. ASimple null hypothesis Vs. Simple alternative hypothesis
    2. BComposite null hypothesis Vs. Simple alternative hypothesis
    3. CSimple null hypothesis Vs. Composite alternative hypothesis
    4. DComposite null hypothesis Vs. Composite alternative hypothesis
  54. 54.
    Sampling & Design of ExperimentsSampling Methods & Estimation TechniquesQ57 in paper

    In stratified random sampling the sizes of strata are respectively 100, 200, 400 and 700. How will you allocate a sample of size 280 using proportional allocation?

    1. A(25, 35, 70, 150)
    2. B(20, 40, 70, 150)
    3. C(20, 40, 80, 140)
    4. D(25, 35, 80, 140)
  55. 55.
    Sampling & Design of ExperimentsSampling Methods & Estimation TechniquesQ58 in paper

    An unbiased estimator of σ² (Population Variance) in simple random sampling without replacement is

    1. A(N-1)/N * s²
    2. B(N-1)/n * s²
    3. Cs²/n-1
    4. D(N-1)/N * s²
  56. 56.
    Sampling & Design of ExperimentsDesign of Experiments (CRD, RBD, LSD, Factorial)Q59 in paper

    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
  57. 57.
    Sampling & Design of ExperimentsSampling Methods & Estimation TechniquesQ60 in paper

    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)
  58. 58.
    Sampling & Design of ExperimentsDesign of Experiments (CRD, RBD, LSD, Factorial)Q61 in paper

    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)
  59. 59.
    Applied StatisticsTime Series AnalysisQ62 in paper

    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
  60. 60.
    Applied StatisticsTime Series AnalysisQ63 in paper

    Given the exponential curve Y = 31.5 (1.5)X, the equation of the curve by shifting the origin backward by two years is:

    1. AY = 14 (1.5)X
    2. BY = 63 (1.5)X
    3. CY = 15.75 (1.5)X
    4. DY = 31.5 (3.5)X
  61. 61.
    Applied StatisticsTime Series AnalysisQ64 in paper

    The suitable trend curve can initially be estimated by

    1. AGraphical Method
    2. BVariate difference Method
    3. CLink -- Relative Method
    4. DPrinciple of least squares
  62. 62.
    Sampling & Design of ExperimentsDesign of Experiments (CRD, RBD, LSD, Factorial)Q65 in paper

    In a 2³ factorial experiment, the treatment are repeated in r blocks, the error degrees of freedom will be :

    1. A8r-7
    2. B7(r-1)
    3. C3(r-1)
    4. D3r
  63. 63.
    Applied StatisticsIndex NumbersQ66 in paper

    Which index number uses the arithmetic mean of the quantities of both current year and base year as weights?

    1. AFisher's ideal index number
    2. BLaspeyre's index number
    3. CMarshall and Edgeworth index number
    4. DPaasche index number
  64. 64.
    Applied StatisticsIndex NumbersQ67 in paper

    Dorbish-Bowley price index number formula is the

    1. AGeometric mean of Laspeyre's and Paasche's index numbers.
    2. BArithmetic mean of Laspeyre's and Paasche's index numbers.
    3. CWeighted geometric mean.
    4. DWeighted arithmetic mean.
  65. 65.
    Applied StatisticsIndex NumbersQ68 in paper

    If the salary of a person in the base year is ₹ 2,000 per annum and in the current year is ₹ 5,000. The CPI (Consumer Price Index number) is 325 then the allowance required to maintain the same standard of living is

    1. A₹2,000
    2. B₹1,500
    3. C₹1,850
    4. D₹2,500
  66. 66.
    Applied StatisticsVital Statistics & DemographyQ70 in paper

    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
  67. 67.
    Applied StatisticsVital Statistics & DemographyQ71 in paper

    In usual notation the probability of living in an age group of x to x + n can be obtained from the formula

    1. Alx + n/lx
    2. B(lx-lx + n)/lx
    3. Clx
    4. D(lx-lx+n)/lx + n
  68. 68.
    Applied StatisticsVital Statistics & DemographyQ72 in paper

    King's abridged life tables are based on the calculation of:

    1. ACentral mortality rate
    2. BNumber of persons and deaths for the central age in the interval {x, x + n}
    3. CBoth Central mortality rate and Number of persons and deaths for the central age in the interval {x, x + n}
    4. DNeither Central mortality rate nor Number of persons and deaths for the central age in the interval {x, x + n}
  69. 69.
    Applied StatisticsVital Statistics & DemographyQ73 in paper

    The value of NRR < 1 is indicative of

    1. Aincrease in population
    2. Breduction in population
    3. Cconstancy in population
    4. Dcontrol population growth
  70. 70.
    Applied StatisticsIndex NumbersQ74 in paper

    If Laspeyre's price index is equal to Paasche's price index, then both indices will satisfy

    1. Aboth time reversal and factor reversal test.
    2. Btime reversal test but will not satisfy factor reversal test.
    3. Cfactor reversal test but will not satisfy time reversal test.
    4. Dneither time reversal, nor factor reversal test.
  71. 71.
    Applied StatisticsStatistical Organization of India & Official StatisticsQ75 in paper

    Census Organisation works in the control of:

    1. AC.S.O.
    2. BN.S.S.O.
    3. CRegistrar General of India
    4. DPlanning Commission
  72. 72.
    Applied StatisticsVital Statistics & DemographyQ76 in paper

    As per Census 2011, arrange the following states in descending order of population density:

    1. A(i), (ii), (iii), (iv)
    2. B(ii), (iii), (i), (iv)
    3. C(ii), (i), (iii), (iv)
    4. D(i), (ii), (iv), (iii)
  73. 73.
    EconomicsMicro EconomicsQ77 in paper

    If good X and Y are complementary then the Cross price elasticity of demand will be :

    1. Anegative
    2. Bpositive
    3. Czero
    4. Done
  74. 74.
    EconomicsMicro EconomicsQ78 in paper

    If a profit maximizing monopolist is producing a quantity such that marginal revenue exceeds marginal cost, it can be concluded that

    1. AFirm is maximizing profit.
    2. BFirm's output is smaller than the profit maximizing quantity.
    3. CFirm's output is larger than the profit maximizing output.
    4. DFirm's output does not maximize profit but it cannot be concluded whether the output is too large or too small.
  75. 75.
    EconomicsMicro EconomicsQ79 in paper

    If X and Y products are perfect substitutes, which of the following assumptions about indifference curve is not satisfied?

    1. ACompleteness
    2. BTransitivity
    3. CMore is preferred to less
    4. DDiminishing marginal rate of substitution
  76. 76.
    Applied StatisticsStatistical Organization of India & Official StatisticsQ80 in paper

    The Indian Livestock Census held every year.

    1. A5th
    2. B8th
    3. C4th
    4. D10th
  77. 77.
    EconomicsMacro EconomicsQ81 in paper

    Gross Domestic Product is

    1. Athe value of final goods and services produced within a domestic territory of a country during a year.
    2. Bthe value of intermediate goods and services produced within domestic territory of a country during a year.
    3. Cthe value of consumption goods and services produced within the domestic territory of a country.
    4. Dthe value of investment goods and services produced within domestic territory of a country.
  78. 78.
    EconomicsMacro EconomicsQ82 in paper

    If the value of Marginal Propensity to Consume (MPC) is 0.75, the value of multiplier will be

    1. A2
    2. B4
    3. C1
    4. D6
  79. 79.
    EconomicsPublic FinanceQ83 in paper

    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)
  80. 80.
    EconomicsMacro EconomicsQ84 in paper

    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
  81. 81.
    EconomicsPublic FinanceQ85 in paper

    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
  82. 82.
    EconomicsInternational EconomicsQ86 in paper

    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
  83. 83.
    EconomicsInternational EconomicsQ87 in paper

    What was the share of India in the World's merchandise exports in the year 2021?

    1. A1.2
    2. B1.5
    3. C1.8
    4. D2.5
  84. 84.
    EconomicsInternational EconomicsQ88 in paper

    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
  85. 85.
    EconomicsMicro EconomicsQ89 in paper

    A public good is -

    1. Arival and excludable
    2. Bnon-rival and non-excludable
    3. Crival and non-excludable
    4. Dnon-rival and excludable
  86. 86.
    EconomicsGrowth, Development & Indian EconomyQ90 in paper

    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.
  87. 87.
    EconomicsGrowth, Development & Indian EconomyQ91 in paper

    Which of the following statements is not true about Human Development Report 2021-2022?

    1. AThree key dimensions - a long and healthy life, access to knowledge and a decent standard of living were used to measure Human Development Index (HDI) 2021-2022.
    2. BThe HDI is the arithmetic mean of normalized indices for each of the three dimensions.
    3. CData for life expectancy at birth were collected from UNDESA.
    4. DIndia had obtained 0.633 HDI value in 2021-2022.
  88. 88.
    EconomicsGrowth, Development & Indian EconomyQ92 in paper

    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
  89. 89.
    EconomicsGrowth, Development & Indian EconomyQ93 in paper

    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.
  90. 90.
    EconomicsGrowth, Development & Indian EconomyQ94 in paper

    Which State has topped in the major states category in the India Innovation Index 2021, prepared - by NITI Aayog?

    1. AKarnataka
    2. BTelangana
    3. CHaryana
    4. DGujarat
  91. 91.
    MathematicsAlgebra & MatricesQ96 in paper

    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
  92. 92.
    MathematicsAlgebra & MatricesQ97 in paper

    If a, b, c possess distinct values and a² a³ 1 a b b² b³-1=0, then abc is equal to: c c² c³-1 CC

    1. A0
    2. B2
    3. C-1
    4. D1
  93. 93.
    EconomicsGrowth, Development & Indian EconomyQ98 in paper

    Which of the following scheme was launched by the Prime Minister to address the issues of rural population affected by the Covid-19 pandemic?

    1. AAtmanirbhar Bharat Rojgar Yojana (ABRY)
    2. BPradhan Mantri Rojgar Protsahan Yojana (PMRPY)
    3. CPrime Minister's Employment Generation Programme (PMEGP)
    4. DPradhan Mantri Garib Kalyan Rojgar Abhiyaan (PMGKRA)
  94. 94.
    MathematicsAlgebra & MatricesQ99 in paper

    If Eigen vectors of the matrix 314 A=0 2 6 with respect to. 005 Eigen value 5 are [x+y y x]T, then the ratio x: y is:

    1. A1:2
    2. B2:1
    3. C3:2
    4. D2:3
  95. 95.
    MathematicsCalculusQ100 in paper

    If a, ẞ are roots of the equation ax² + bx + c = 0, then lim 1- cos(ax² + bx + c) (x -α) 2 is equal to :

    1. A0
    2. B1
    3. Ca²/2
    4. D(α-β)²/2
  96. 96.
    MathematicsCalculusQ101 in paper

    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
  97. 97.
    MathematicsCalculusQ102 in paper

    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
  98. 98.
    MathematicsAlgebra & MatricesQ103 in paper

    For which value of λ, the rank of the matrix 123 Α= 2λ 7 is 2? 3 6 10

    1. A1
    2. B4
    3. C2
    4. D3
  99. 99.
    MathematicsDifferential EquationsQ104 in paper

    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
  100. 100.
    MathematicsDifferential EquationsQ105 in paper

    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)
  101. 101.
    MathematicsDifferential EquationsQ106 in paper

    Solution of y дх дх - худу = x (z - 2y) is:

    1. A(x + y, yz - x) = 0
    2. B(xy + yz, xy - z²) = 0
    3. C(x² + y², zy - y²) = 0
    4. DCannot be determined
  102. 102.
    MathematicsCalculusQ107 in paper

    If the area bounded by y = x² and y = x is revolved about the x-axis, then the volume of the solid generated is equal to:

    1. Aπ/15
    2. B4π/15
    3. C2π/15
    4. D7π/15
  103. 103.
    MathematicsComplex Analysis & Beta-Gamma FunctionsQ108 in paper

    Consider the following assertions : I. f(z) = log z, is analytic everywhere. II. f(z) = xy + iy, is not analytic. III. f(z) = √xy, Cauchy-Riemann equations are satisfied but not analytic at the origin. Which of the following are correct for the above assertions ?

    1. AI and II are true.
    2. BII and III are true.
    3. CI and III are true.
    4. DI, II and III all are true.
  104. 104.
    MathematicsComplex Analysis & Beta-Gamma FunctionsQ109 in paper

    If a function f(z) is analytic at all points inside and on a closed contour C, then ∫ f(z)dz is equal to: C

    1. Az
    2. B0
    3. C1
    4. D-z
  105. 105.
    MathematicsComplex Analysis & Beta-Gamma FunctionsQ110 in paper

    For the function f(z) = 7z-2 (z + 1)z (z-2) a valid Laurent's series about the point z=-1 is:

    1. Af(z) = 3/(z+1) + 5/9(z+1) + ...
    2. Bf(z) = 3/(z+1) + 11/9(z+1) + ...
    3. Cf(z) = 3/(z+1) + 5/9(z+1) + ...
    4. Df(z) = 3/(z+1) + 5/9(z+1) - ...
  106. 106.
    MathematicsDifferential EquationsQ111 in paper

    A surface passing through the two lines z=x=0;z-1=x-y=0 and satisfying 02z 02z 02z -4 +4 = 0 is: дх² дхду ду

    1. Az (y + 2x) = 3x
    2. Bz (y + 2x) = x
    3. Cz (y + x) = 2x
    4. Dz (y + x) = x
  107. 107.
    MathematicsSpecial Functions & Integral TransformsQ112 in paper

    If P(x) is Legendre's function of first kind, then P₁(x) is equal to:

    1. A1
    2. Bx²
    3. Cx
    4. D√x
  108. 108.
    MathematicsSpecial Functions & Integral TransformsQ113 in paper

    For Hypergeometric function, Gauss's theorem is:

    1. A2F₁(α, β; γ; 1) = Γ(γ) Γ(γ-β-α) / (Γ(γ-α) Γ(γ-β))
    2. B2F₁(α, β; γ; 1) = Γ(γ-α) Γ(γ-β-α) / (Γ(γ-α) Γ(γ-β))
    3. C2F₁(α, β; γ; 1) = Γ(γ) Γ(γ-β-α) / (Γ(γ-1) Γ(γ-β))
    4. D2F₁(α, β; γ; 1) = Γ(γ-α) Γ(γ-β-α) / (Γ(γ-1) Γ(γ-β))
  109. 109.
    MathematicsSpecial Functions & Integral TransformsQ114 in paper

    Inverse Laplace transform of F(p) = log (p+3 / p+2) is:

    1. A(e-2t - e-3t) / t
    2. B(-e-2t + e-3t) / t
    3. C(e-2t + e-3t) / t
    4. D(e-2t - e-3t) / t
  110. 110.
    MathematicsCalculusQ115 in paper

    ∫ 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
  111. 111.
    Fundamentals of IT & Computer ApplicationsOffice Productivity Software (Word, Spreadsheet, Presentation, Accounting)Q116 in paper

    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..
  112. 112.
    Fundamentals of IT & Computer ApplicationsOffice Productivity Software (Word, Spreadsheet, Presentation, Accounting)Q119 in paper

    and and can be used as wildcard characters within a text string or as part of a search criteria in functions like COUNTIF or SUMIF (In Excel).

    1. A< and >
    2. B^ and /
    3. Cand *
    4. D* and?
  113. 113.
    Fundamentals of IT & Computer ApplicationsOffice Productivity Software (Word, Spreadsheet, Presentation, Accounting)Q120 in paper

    Final Account subsystem in Accounting Information System (AIS) deals with

    1. APreparation of Budget
    2. BPreparation of Payroll
    3. CPreparation of Final Accounts
    4. DNone of these
  114. 114.
    Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital PaymentsQ121 in paper

    Which of the following statement(s) is/are correct? A. Email ids are used for communication. B. Email id can be created on Outlook. C. You cannot search an email sent by you. D. The shortcut key for sending the email is Shift + Enter.

    1. AA, B and C are correct.
    2. BA and B are correct.
    3. CB, C and D are correct.
    4. DAll of these
  115. 115.
    Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital PaymentsQ122 in paper

    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
  116. 116.
    Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital PaymentsQ123 in paper

    A digital signature is a technique which validates

    1. AAuthenticity
    2. BIntegrity
    3. CNon-repudiation
    4. DAll of these
  117. 117.
    Fundamentals of IT & Computer ApplicationsOffice Productivity Software (Word, Spreadsheet, Presentation, Accounting)Q124 in paper

    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
  118. 118.
    Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital PaymentsQ125 in paper

    Which of the following is/are modes of digital payment?

    1. APoint of Sale (POS)
    2. BSmart Card
    3. CInternet Banking
    4. DAll of these
  119. 119.
    Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital PaymentsQ126 in paper

    RTGS stands for

    1. AReal Time Gross Settlement
    2. BReal Transaction Gross Search
    3. CReal Transaction Gross System
    4. DReal Time Gross System
  120. 120.
    Fundamentals of IT & Computer ApplicationsGIS & E-Governance in RajasthanQ127 in paper

    Which method is used for connectivity in RajNET?

    1. ASatellite
    2. BLAN
    3. CSWAN
    4. DAll of these
  121. 121.
    Fundamentals of IT & Computer ApplicationsGIS & E-Governance in RajasthanQ128 in paper

    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
  122. 122.
    Fundamentals of IT & Computer ApplicationsInternet, Cyber Security & Digital PaymentsQ130 in paper

    UPI stands for -

    1. AUniform Payments Interface
    2. BUniversal Payments Interactions
    3. CUnified Payments Interface
    4. DUnified Payments for India
  123. 123.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q131 in paper

    Badwa Yoop inscriptions are associated with

    1. AMokhari dynasty
    2. BMaurya dynasty
    3. CParmar dynasty
    4. DKhichi dynasty
  124. 124.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q132 in paper

    Who among the following Chauhan rulers built the Harshnath Temple?

    1. AChandanraj
    2. BAjayraj
    3. CGuvak-I
    4. DVakpatiraj
  125. 125.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q133 in paper

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

    1. ABadgurjar
    2. BGuhil
    3. CChauhan
    4. DKachhawa
  126. 126.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q134 in paper

    To whom the title 'Dalthambhan' was bestowed by the Mughal Emperor Jahangir?

    1. AGaj Singh
    2. BJaswant Singh
    3. CSoor Singh
    4. DAjit Singh
  127. 127.
    Q135 in paper

    Which of the following is not correctly matched ?

    1. AA
    2. BB
    3. CC
    4. DD
  128. 128.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q136 in paper

    Who among the following were related to Bikaner Prajamandal movement?

    1. AOnly (i) and (ii)
    2. BOnly (i) and (iii)
    3. COnly (ii) and (iii)
    4. DAll (i), (ii) and (iii)
  129. 129.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q137 in paper

    The pre-historic site of Bagore was first excavated under the directions of

    1. AB.B. Lal
    2. BB.K. Thapar
    3. CV.N. Mishra
    4. DA. Ghosh
  130. 130.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q138 in paper

    When the post of "Rajpramukh" was abolished in Rajasthan?

    1. A30th March 1949 AD
    2. B1st November 1956 AD
    3. C26th January 1950 AD
    4. D18th March 1948 AD
  131. 131.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ139 in paper

    Which one of the following set of ornaments is not correctly matched?

    1. AAngotya, Karnphool, Pipalpatra, Jhela
    2. BTimania, Tulsi, Bajatti, Halro
    3. CKangan, Nogari, Gajra, Nevari
    4. DLangar, Payal, Nupur, Jhanjhar
  132. 132.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ140 in paper

    On the occasion of the first male child birth clothes and ornaments are given to child and his parents by maternal side. This custom is called

    1. AJamana
    2. BMayra
    3. CPaharawani
    4. DJuhari
  133. 133.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ141 in paper

    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
  134. 134.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q142 in paper

    Where Dharadhargarh fort is located?

    1. AChomu
    2. BPratapgarh
    3. CHanumangarh
    4. DTonk
  135. 135.
    General Knowledge of RajasthanHistory of Rajasthan (Dynasties & Modern Era)Q143 in paper

    Who among the following was the founder of "Shri Desh Hiteshini Sabha"?

    1. AMaharana Shambhu Singh
    2. BMaharana Fatah Singh
    3. CMaharana Sajjan Singh
    4. DSir Walter
  136. 136.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ144 in paper

    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)
  137. 137.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ145 in paper

    The founder of 'Nishkalank Sect' was

    1. ASant Mavji
    2. BSant Dariyav
    3. CSant Sundardas
    4. DSant Ramdas
  138. 138.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ146 in paper

    Which one of the following pairs is not correctly matched ?

    1. AHarbuji - Bengati
    2. BMallinathji - Tilwara
    3. CTallinathji - Panchota
    4. DDhannaji - Simbhudara
  139. 139.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ147 in paper

    The author of Ranmall Chhand was

    1. AShridhar Vyas
    2. BBeethu Suja
    3. CMadhodas
    4. DKeshavdas
  140. 140.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ148 in paper

    Who is the author of 'Raagkalpdrum'?

    1. ABhavbhatt
    2. BKrishnanand Vyas
    3. CPundrik Vitthal
    4. DHammir
  141. 141.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ149 in paper

    In Rajasthani literature the "Parachi" / "Parichayi" denotes :

    1. ALife sketch of saints
    2. BNarration of heroic legends of kings
    3. CGenealogy of rulers
    4. DTravelogue
  142. 142.
    General Knowledge of RajasthanArt, Culture, Religion, Language & LiteratureQ150 in paper

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

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

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What is in this paper

SubjectQuestions
General Knowledge of Rajasthan36
Mathematics19
Economics18
Applied Statistics15
Probability & Distributions14
Fundamentals of IT & Computer Applications12
Statistical Inference11
Sampling & Design of Experiments6
Descriptive Statistics4
Correlation & Regression4

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