- Which of the following is an example of a qualitative variable?
a. Age.
b. Height.
c. Weight.
d. Gender.
2. Which of the following is an example of primary Data?
a. Data collected from the record of the municipality.
b. Data collected from a publishes journal of an industry.
c. Data collected from the website.
d. Data collected by NSSO.
3. Which of the following is an example of primary data?
a. Data collected by the investigator and used by him.
b. Data collected by NSSO and used by the investigator.
c. Data published by Reserve Bank and Used by the investigator.
d. Data published by IMF and used by the investigator.
4. Which of the following is an example of Secondary data?
a. Data collected by the students from the data in the published book.
b. Data collected in the population census.
c. Data collected by direct inquiry.
d. Data collected by NSSO.
5. The method of questionnaire is suitable when
a. Number of respondents is small and they belong to the same city.
b. Number of respondents is large and they are spread over a wide area.
c. Number of respondents is small and they belong nearby to the investigator’s office.
d. None of the above.
6. Data obtained in which one of the following is an illustration of qualitative data?
a. Income Category.
b. Productions in Kg.
c. Age of worker.
d. Height of person.
7. The scale used to denote “X” salary is double then “Y” salary is
a. Nominal Scale.
b. Ordinal Scale.
c. Interval Scale.
d. Ration Scale.
8. Data obtained in which one of the following is an illustration of qualitative data?
a. Income Category.
b. Productions in Kg.
c. Age of worker.
d. Height of Person.
9. Nominal Scale is used for which of the following?
a. Name of Person.
b. Income of Person.
c. Height of Person.
d. Age of Person.
10. Ordinal Scale is used for
a. Result of the student.
b. Gender of a Student.
c. Age of a student.
d. None of the above.
11. The algebraic sum of the deviation of a set of n values from their arithmetic mean is
a. n.
b. 0.
c. 1.
d. None of these.
12. Median is
a. The most frequent value.
b. Middle most value.
c. Least frequent value.
d. Mean of the first and last value.
13. Mode is
a. The most frequent value.
b. Middle most value.
c. Least frequent value.
d. Mean of the first and last value.
14. Histogram is useful to determine graphically the value of
a. The arithmetic mean.
b. The median.
c. The mode.
d. None of these.
15. Dispersion
a. Summarize data into single value.
b. Measures the concentration of a set of observations.
c. Measure the scatterness of a set of observations.
d. Peakedness of the distribution curve.
16. The sum of absolute deviation about the median is
a. The least.
b. The greatest.
c. Zero.
d. Equal.
17. If each and every observation of a variable is added by a constant value, the Standard Deviation of the resultant variable.
a. Increase.
b. Decrease.
c. Remains same.
d. None of these.
18. If each and every observation of a variable is multiplied by 5, the range of the resultant variable
a. Increase.
b. Decrease.
c. Remains same.
d. None of these.
19. If each and every observation of a variable is added by 10, the mean of the resultant variable
a. Increase.
b. Decrease.
c. Remains same.
d. None of these.
20. Which measures of Central Tendency are used to calculate the standard deviation of the data set?
a. Median.
b. Mode.
c. Geometric mean.
d. Arithmetic mean.
21. If one coin is tossed then the total items of sample space are
a. One.
b. Two.
c. Three.
d. Four.
22. If two coins are tossed then total items of sample space are
a. One.
b. Two.
c. Three.
d. Four.
23. If one die is thrown then the total items of sample space are
a. Four.
b. Five.
c. Six.
d. None.
24. If two dice are thrown then the total items of sample space are
a. 12.
b. 18.
c. 36.
d. 216.
25. How many face cards are there in the deck of card
a. 3.
b. 6.
c. 9.
d. 12.
26. If for a random variable X, E(X) = 3 and V(X) = 37 then E(X 2 ) = —.
a. 28.
b. 34.
c. 40.
d. 46.
27. A random variable X assumes values -1, 0 and 1 only with respective Probabilities c, 2c, and 3c, find c.
a. 1/3.
b. 1/6.
c. ½.
d. 1/5.
28. For binomial distribution mean = 4 and variance = 2, then number of trials n =__
a. 4.
b. 6.
c. 8.
d. 10.
29. For discrete uniform distribution mean = 3, then P( X = 3)=______.
a. 1/3.
b. ¼.
c. 1/5.
d. 3/5.
30. If the mean of the Poisson distribution is 9 then standard deviation is______
a. 9.
b. 4.
c. 3.
d. 0.
31. What is the mode of standard normal distribution?
a. -1.
b. 0.
c. 1.
d. 2.
32. If the mean of Normal distribution is 13.5, then the mode is_____.
a. 14.5.
b. 13.5.
c. 0.
d. None of these.
33. For standard normal variate Z, P( -2 < Z< 2) = ——.
a. 0.683.
b. 0.900.
c. 0.954.
d. 0.997.
34. For exponential distribution with mean 2, the P( 1.2 <X<2.4) = ______.
a. 0.2476.
b. 0.5488.
c. 0.3012.
d. 0.5000.
35. The mean and variance of the uniform U(-2,3) distribution are respectively
a. 5/2, 25/12.
b. ½, 1/12.
c. ½, 25/12.
d. 5/2, 1/12.
36. The single-valued estimator used to estimate the unknown parameter of the Population is called ______
a. Point Estimator.
b. Internal Estimation.
c. External Estimation.
d. Estimator.
37. The sample mean is the point estimator of the__________
a. Population Standard Deviation.
b. Population Variance.
c. Population Mean.
d. Sample Mean.
38. A sample proportion is the point estimator of the ___________
a. Population Mean.
b. Population Proportion.
c. Population Standard deviation.
d. Sample Mean.
39. The value of Z α/2 when α = 0.05 is_______
a. 1.96.
b. 2.58.
c. 1.64.
d. None of these.
40. The value of Z α/2 when α = 0.10 is
a. 1.96.
b. 2.58.
c. 1.64.
d. None of these.
41. If all the units of the population have the same or similar types of characteristics Under study then the population is called ________
a. Homogeneous population.
b. Heterogeneous Population.
c. Population.
d. Sample.
42. When some of the units in the population have different types of characteristics Then the population is called
a. Population.
b. Heterogenous Population.
c. Homogenous Population.
d. None of these.
43. The probability that the third unit is included in the sample of size 5 from a population of size 20 is_____
a. 3/20.
b. ¼.
c. 1/5.
d. 1/6.
44. Total numbers of possible random samples each of size 3 drawn by SRSWOR from the population of size 5 are______
a. 5.
b. 10.
c. 15.
d. 10.
45. Total numbers of possible random samples each of size 2 drawn by SRSWR from the population of size 4 are___________
a. 4.
b. 8.
c. 16.
d. 32.
46. The idea of testing the hypothesis was first set forth by
a. R. A. Fisher.
b. J. Neyman.
c. E. L. Lehman.
d. A. Wald.
47. A hypothesis may be classified as
a. Simple.
b. Composite.
c. Null.
d. All of the above.
48. The hypothesis under test is
a. Simple Hypothesis.
b. Alternative Hypothesis.
c. Null Hypothesis.
d. None of the above.
49. Student’s t-test was invented by
a. R. A. Fisher.
b. G. W. Snedecor.
c. W. S. Gosset.
d. W. G. Cochram.
50. A sample of 12 units taken from a normal population is expected to have a mean of 50cm. The sample has a mean of 64cm with a variance of 25. To test, you will use
a. Z-test.
b. F-test.
c. t-test.
d. Chi-square test.
51. Student’s t-test is applicable in case of
a. Small samples.
b. For samples of size between 5 and 30.
c. Large Samples.
d. None of the above.
52. Student’s t-test is applicable only when
a. The variate values are independent.
b. The variable is distributed normally.
c. The sample is not large.
d. All of the above.
53. Analysis of Variance utilizes
a. Z-test.
b. F-test.
c. t-test.
d. Chi-square test.
54. Equality of several normal populations means can be tested by
a. Z-test.
b. F-test.
c. T-test.
d. Chi-square test.
55. Small sample test having a sample of size….
a. 30.
b. Less than 30.
c. More than 30.
d. 31.
56. An index number is used
a. To measure changes in demand.
b. To measure changes in price.
c. To measure change in magnitude from one situation to another.
d. To measure changes in quantity.
57. The Marshall-Edgeworth index is a
a. Weighted quantity index only.
b. Weighted quantity index only.
c. Aggregate index number.
d. Weight index number.
58. The Laspeyres price index
a. Considers the current year quantities as weights.
b. Considers the base year prices as weights.
c. Considers the base year quantities as weights.
d. Considers the current year’s prices as weights.
59. Laspeyres price index generally
a. Shows to bias.
b. Shows an upward bias.
c. Shows a downward bias.
d. Is a perfect index number.
60. Which index measures the monthly change in the cost of representative sample of goods and services?
a. Laspeyres price index.
b. Paasche price index.
c. Retain price index.
d. Economic price index.
62. The application of base shifting is
a. Smoothing.
b. Splicing.
c. Composing.
d. Deflating.
63. Which test requires that the product of price and quantity indices should give the true value?
a. Unit test.
b. Time Reversal Test.
c. Factor Reversal Test.
d. Circular Test.
64. Which test is an extension of time reversal test?
a. Unit test.
b. Time Reversal Test.
c. Factor Reversal Test.
d. Circular Test.
65. Fisher index number is ideal because it satisfies
a. Time Reversal Test.
b. Factor Reversal Test.
c. Circular Test.
d. All of the above.
66. Consumer price index is also called
a. Fixed price index number.
b. Composite price index number.
c. Cost of living index number.
d. Whole-sale price index number.
67. In a population of size 10 the possible number of samples of size 2 will be
a. 45.
b. 40.
c. 54.
d. None of the above.
68. A list of all units of a population is known as…….
a. Sample.
b. Element.
c. Parameter.
d. Frame.
69. There are _____ types of sampling.
a. One.
b. Two.
c. Three.
d. Four.
70. How many sample of size 2 can be drawn from the population of size 5.
a. One.
b. Ten.
c. Three.
d. Four.
71. A cluster means a group of
a. Variable.
b. Strata.
c. Parameter.
d. Elements.
72. Critical region means a region which
a. Reject the null hypothesis.
b. Accept the null hypothesis.
c. Rejects both null and alternative hypotheses.
d. Accept both null and alternative hypothesis.
73. Probability of type I error means the probability of
a. Accepting H when H is true.
b. Rejecting H when H is true.
c. Rejecting H when H is false.
d. Accepting H when H is false.
74. Probability of type-II error means
a. Accepting H when H is true.
b. Rejecting H when H is true.
c. Rejecting H when H is false.
d. Accepting H when H is false.
75. Estimate is
a. A true value of the parameter.
b. A value of the statistic used to estimate the parameter.
c. Always positive.
d. Always integer.
76. Sufficient statistics means
a. A statistic that contains all the information regarding the unknown parameter that is contained in the sample.
b. A statistic which contains 50% information regarding the unknown parameter that is contained in the sample.
c. A statistic that contains at least 50% information regarding the unknown parameter that is contained in the sample.
d. A statistic which is can be used to estimate the parameter.
77. Linear programming is a
a. Constrained optimization techniques.
b. Mathematical technique.
c. Technique for economic allocation of limited resources.
d. All of the above.
78. Constraints in an LP model represents
a. Limitations.
b. Requirements.
c. Balancing limitations and requirements.
d. All of the above.
79. Which of the following is an assumption of an LP model
a. Divisibility.
b. Proportionality.
c. Additivity.
d. All of the above.
80. The graphical method of the LP problem uses
a. Objective function equation.
b. Constraints equation.
c. Linear equation.
d. All of the above.
81. The solution region of an LP problem is unbounded due to
a. An incorrect formulation of the LP Model.
b. Objective Function is unbounded.
c. None of the above.
d. Both A and B.
82. While solving an LP model graphically, they are bounded by the constraints is called
a. Feasible region.
b. Infeasible region.
c. Unbounded solution.
d. None of the above.
83. Which of the following could be the reason if no solution?
a. There may be no feasible solution.
b. The problem may be unbounded.
c. Both of the above.
d. None of the above.
84. The amount of a resource, as represented by a less-than-or-equal constraint that is not being used is?
a. Slack.
b. Surplus.
c. Both of the above.
d. None of the above.
85. Which of the following packages cannot be used to solve LPP?
a. MS Excel.
b. Lindo.
c. Access.
d. Xpress MP.
86. MS Excel has Solver Add in by default on hard disk.
a. True.
b. False.
c. Maybe.
d. Needs to be activated from file menu.
Answer key
| 1. d. | 11. a. | 21. b. | 31. b. | 41. a. | 51. b. | 61. b. | 71. a. | 81. a. |
| 2. d. | 12. b. | 22. d. | 32. b. | 42. b. | 52. d. | 62. c. | 72. b. | 82. d. |
| 3. a. | 13. a. | 23. c. | 33. c. | 43. b. | 53. b. | 63. d. | 73. d. | 83. a. |
| 4. a. | 14. c. | 24. d. | 34. a. | 44. b. | 54. b. | 64. d. | 74. b. | 84. c. |
| 5. b. | 15. c. | 25. d. | 35. c. | 45. c. | 55. b. | 65. c. | 75. c. | 85. d. |
| 6. a. | 16. a. | 26. d. | 36. a. | 46. b. | 56. c. | 66. a. | 76. d. | |
| 7. d. | 17. c. | 27. b. | 37. c. | 47. d. | 57. d. | 67. d. | 77. d. | |
| 8. a. | 18. a. | 28. c. | 38. b. | 48. c. | 58. c. | 68. b. | 78. d. | |
| 9. a. | 19. a. | 29. c. | 39. a. | 49. c. | 59. b. | 69. b. | 79. d. | |
| 10. a. | 20. a. | 30. c. | 40. a | 50. c. | 60. c. | 70. d. | 80. c. |