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1 (c) 5/18
2 (a) 44%
3 (a) y(xz)^2 is even
4 (a) (1, 13)
5 (a) x^2  2cx + (c^2  b^2)
6 (a) (7, ∞)
7 (c) a  b ≤ 2
8 (b) 10
9 (a) straight lines
10 (c) 1/2
11 (d) None of the above
12 (b) 16.5
13 (d) 18
14 (d) 150
15 (d) 20%
16 (d) None of the above (aL* = 32000)
17 (b) 4 (Use: P = m(W/Y), W + R = PY, 1000 + 0.8W + 0.6R + I = PY and m = 4/3)
18 (a) 0.83 (approx.)
19 (d) 25%
20 (a) 0%
21 (c) 20%
22 (b) Increases by 1/8
23 (b) 9000
24 (d) None of the above
25 (c) 27
26 (a) Yes
27 (b) 1250
28 (a) 2.8
29 (a) 9%
30 (b) fall in the price of bread; fall in the price of apple
31 (d) x(1) = 300; x(2) = 0
32 (b) increasing returns to scale
33 (b) agricultural prices respond to changes in demandsupply balances faster than industrial prices
34 (d) the balance between saving and investment
35 (b) increases industrial costs of production
36 (c) can produce a rise in the general price level
37 (b) China is responsible for the highest total (but not per capita) emissions.
38 (b) Rs 600
39 (b) 2.5% per annum
40 (b) Dadabhai Naoroji
41 (c) better training of employees
42 (c) there exists an integer n such that P(n, m) is false for all integers m
43 (a) both X and Y are true
44 (b) X is false
45 (c) all X are Z, and all Y are W
46 (d) half
47 (d) None of the above
48 (d) None of the above
49 (d) No conclusion can be drawn on the basis of the given information
50 (c) Rs 1,36,763.1
51 (c) Expenditure on X will rise by 2.2%
52 (c) 3/4
53 (c) 1.37; 1.2731
54 (c) 900000
55 (d) Events E1 and E4 are mutually exclusive
56 (b) 1
57 (a) 5
58 (b) x
59 (c) m = 5
60 (d) lognormal distribution
61 (d) none of the above
62 (a) x < xy/2 < y
63 (b) 7
64 (c) do not intersect
65 (d) 0, 2 and 5
66 (b) log 2
67 (c) 5500
68 (d) 0
69 (c) 1/216
70 (a) (∞,2)
71 (c) mean = 15, standard deviation = 1
72 (d) 5350
73 (c) 4536
74 (b) 952
75 (c) 12.30
76 (a) 2.60
77 (b) 3.99
78 (b) 7
79 (c) {y, z}
80 (a) there is underconsumption in the free market
81 (b) A ≥ 25π
82 (d) 4, 4
83 (a) the liquid cash that banks have to maintain with the RBI a certain percentage of their demand and time deposits.
84 (c) equal to 1/3 (assuming independence is implicit)
85 (d) the fiscal deficit less the interest outgo in the budget
86 (c) increase in banking habit of the population
87 (b) Market demand = 2000  100 p, if p < 20; and Market demand = 0, if p ≥ 20.
88 (c) 16 < p* < 17
89 (d) None of the above
90 (b) The numbers 1, 5, 7, 9 have a smaller standard deviation than the numbers 1231, 1235, 1237, 1239.
91 (d) D
92 (b) B
93 (b) B
94 (a) 1620
95 (c) the marginal cost curve above the average variable cost curve
96 (a) 12
97 (b) p/q
98 (a) Tuesday
99 (b) Sociology
100 (a) Monday
