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).

question: 3 workers transfer a tool weighing 120kg in 12 seconds. How many men are required to transfer it in 9 seconds?
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
answer: Stream of consciousness: We have, M1D1H1 = M2D2H2
3*120*12 = M2*120*9
M2 = 3*120*12/120*9 = 4 The answer is (A).

q: A man rows his boat 84 km downstream and 48 km upstream, taking 2 hours each time. Find the speed of the stream?
Options:
(A) 6 kmph
(B) 5 kmph
(C) 9 kmph
(D) 8 kmph
(E) 1 kmph
a: Stream of consciousness: Speed downstream = d/t = 84/(2) = 42 kmph
Speed upstream = d/t = 48/(2) = 24 kmph
The speed of the stream = (42 - 24)/2 = 9 kmph The answer is (C).

question: For some integer x, x^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 41
(B) 38
(C) 29
(D) 31
(E) 30
answer: Stream of consciousness: Hint: x^2-5 (x is an integer) is never multiple of 3 (try to prove this), hence 30 is out. The answer is (E).

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) 180
(B) 345
(C) 234
(D) 488
(E) 234
a: Stream of consciousness: Angle traced by the hour hand in 6 hours = (360)/12x 6 = 180. The answer is (A).

q: A, B and C can do a work in 7 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Options:
(A) 2 50/59
(B) 2 5/59
(C) 2 2/50
(D) 2 2/59
(E) 2 1/59
a:
Stream of consciousness: Work done by all three of them in one day = 1/7 + 1/8 + 1/12 = 59/168
The number of days required = 168/59 = 2 50/59 days. The answer is (A).