q: A can do a piece of work in 6 hours; B and C together can do it in 4 hours, which A and C together can do it in 3 hours. How long will B alone take to do it?
Options:
(A) 8hours
(B) 6hours
(C) 14hours
(D) 12hours
(E) 5hours
a: Stream of consciousness: A's 1 hour work = 1/6;
(B + C)'s 1 hour work = 1/4;
(A + C)'s 1 hour work = 1/3
(A + B + C)'s 1 hour work = (1/4 + 1/6) = 5/12
B's 1 hour work = (5/12 - 1/3) = 1/12
B alone will take 12 hours to do the work. The answer is (D).


question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Options:
(A) 22 1/8 days
(B) 22 1/2 days
(C) 22 6/2 days
(D) 72 1/2 days
(E) 23 1/2 days
answer: Stream of consciousness: 1/18 + 1/30 = 8/90 = 4/45
45/4 = 11 1/4 *2 = 22 1/2 days The answer is (B).


q: P and Q invested in a shop. The profits were divided in the ratio of 5: 2 respectively. If P invested Rs. 5600, the amount invested by Q is:
Options:
(A) 3500
(B) 5600
(C) 2200
(D) 2400
(E) None
a: Stream of consciousness: Suppose Q invested Rs. y. Then, 5600/y = 5/2 or y = [5600 x 2 / 5] = 2240 The answer is (E).


question: Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Options:
(A) 9
(B) 7
(C) 6
(D) 5
(E) 4
answer: Stream of consciousness: Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1. x(2/75 + 1/45) + (30 - x). 2/75 = 1 11x/225 + (60 - 2x)/75 = 1 11x + 180 - 6x = 225. x = 9. The answer is (A).


q: If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 60 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/20
(D) 1/5
(E) 1/10
a: Stream of consciousness: 15 + 10 + 60 = 85% 100 - 85 = 15% to all others The answer is (C).


q: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Options:
(A) 1680
(B) 1800
(C) 2000
(D) 2100
(E) 2300
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: 8p4 = 8 Ã— 7 Ã— 6 x 5 = 1680 The answer is (A).