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1. (c) less than 2%
2. (a) has a mean 0 and a standard deviation of 1
3. (a) indicates a onetailed test with a rejection area in the right tail
4. (b) Increase (Reason: Since time deposits have become less liquid, people will hold more money for transactions)
5. (d) A nonresident Indian visiting India purchases rice, goes back to his country of residence, makes a dosa and then sells it to his neighbor.
6. (d) (4, 4) or (4, 0) or (2, 2)
7. (a) The other corners are (1, 1, 0), (1, 0, 1), (0, 1, 1) and (1, 1, 1)
8. (d) None of the above
9. (a) The volume of the cube is 1
10.(b) The area of the cube is 6
11.(a) 0.10
12.(d) 1.10
13.(d) None of the above
14.(c) 16.16
15.(c) wages should rise and rents should fall in country A
16.(c) $2500 and 2000 computers
17.(b) 1600 computers, increase, decrease
18.(b) increase, decrease (Note: We are asked to compare quota situation with no trade situation)
19.(b) f'(x) > 0
20.(d) a=b
21. (d) None of the above
22. (a) S=G
23. (c) 4
24. (b) 2.5
25. (d) None of the above
26. (a) 0.5
27. (b) 1(1p(1))(1p(2))(1p(3))
28. (c) 1/2
29. (c) Situation (i) is at least as likely as situation (ii)
30. (d) None of the above
31. (b) 72 x 0.00001
32. (d) None of the above
33. (c) C's weight or E's weight
34. (b) the average of B's weight and E's weight
35. (b) 2
36. (c) greater than unity
37. (a) greater with replacement than without' replacement
38. (c) less than 1/16
39. (c) 76
40. (b) B
41. (d) 0
42. (b) Chemistry
43. (a) P
44. (b) hockey team
45. (a) A
46. (c) more output and has a lower price
47. (b) shorter than
48. (d) None of the above
49. (a) 11 5
50. (b) 6
51. (c) 20
52. (b) 12 years
53. (d) 17
54. (c) 10 meters
55. (d) None of the above (47 days)
56. (b) x = 1.5, y=1.5
57. (a) x = 1, y = 2
58. (d) either x = 2, y = 1 or x = 1, y = 2
59. (b) Output y/2 is produced in plant 1 and output y/2 is produced in plant 2.
60. (a) y = 3
61. (d) None of the above
62. (a) x(1) + x(2)
63. (c) x* = 0 or x* = 1 or f '(x*)=0
64. (c) To prove that f is not a function, it is necessary to demonstrate (i) or (ii)
65. (c) Demonstration of (i) and (ii) is sufficient to prove that f is not a function
66. (a) The range of the surjective function is always equal to its codomain
67. (d) None of the above
68. (a) 0
69. (c) 4
70. (b) After two years
71. (b) After two years
72. (b) After two years
73. (a) Today
74. (a) Today
75. (a) Today
76. (b) 198085
77. (d) 199095
78. (c) 3
79. (a) 1
80. (d) The substitution effect is negative and there are no income effects
81. (a) The Slutsky equation says that the total change in demand is exactly equal to the sum of the substitution effect and the income effect
82. (a) continuous at all points in the domain but not differentiable at some points in the domain
83. (c) At the optimum, the consumer should consume 50 units of commodity 1 and 50 units of commodity 2
84. (a) the optimum consumption of commodity 1 increases by 1/3 and the optimum consumption of commodity 2 increases by 1/3
85. (d) 0
86. (b) 25
87. (c) x(1) = x(2)
88. (a) 4
89. (b) 2
90. (c) 4
91. (b) 6 (Assuming that the question asks you to determine the tax rate
that implements purchase of exactly two cows that we found in Q 89)
92. (a) Rs. 10
93. (b) 0
94. (d) None of the above
95. (a) 4
96. (a) f(x) has a minimum value but no maximum value
97. (b) 2
98. (b) climate change
99. (c) put hurdles in the way of poverty eradication
100.(d) None of the above
