q: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 3002
(B) 3000
(C) 3018
(D) 3019
(E) 3012
a: Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000 The answer is (B).
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q: If f(x) = x^2/(x^5 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) 1/f(x)
(B) -f(x)
(C) 2/f(x)
(D) f(x)
(E) 3*f(x)
a: Stream of consciousness: If x = 2 then f(x) = 4/31 and f(1/x) = -4/31 which is equal to -f(x) The answer is (B).
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q: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Options:
(A) 270
(B) 360
(C) 280
(D) 90
(E) 180
a:
Stream of consciousness: Angle traced by the hour hand in 6 hours = (360/12 x 6) = 180. The answer is (E).
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