q: Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men?
Options:
(A) 5 days
(B) 6 days
(C) 9 days
(D) 10 days
(E) None of these
a: Stream of consciousness: 7 x 12 men complete the work in 1 day
Therefore, 1 man’s 1 day’s work = 1/84
7 men’s 5 days work = 5/12
Remaining work = 1- 5/12 = 7/12
5 men’s 1 day’s work = 5/84
5/84 work is don by them in 1 day
7/12 work is done by them in ((84/5) x (7/12)) = 49/5 days = 9 4/5 days The answer is (E).


question: X can finish a work in 20 days. Y can finish the same work in 15 days. Yworked for 9 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 8
(E) 9
answer: Stream of consciousness: Work done by X in 1 day = 1/20
Work done by Y in 1 day = 1/15
Work done by Y in 9 days = 9/15 = 3/5
Remaining work = 1 – 3/5 = 2/5
Number of days in which X can finish the remaining work = (2/5) / (1/20) = 8 The answer is (D).


q: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Options:
(A) 10
(B) 15
(C) 30
(D) 34
(E) 36
a: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).


question: The average age of A, B and C is 27 years. If the average age of A and C is 29 years, what is the age of B in years ?
Options:
(A) 19
(B) 35
(C) 20
(D) 32
(E) 23
answer: Stream of consciousness: Age of B = Age of (A + B + C) â€“ Age of (A + C) = 27 Ã— 3 â€“ 29 Ã— 2 = 81 â€“ 58 = 23 years The answer is (E).


q: A pharmaceutical company received $5 million in royalties on the first $40 million in sales of and then $9 million in royalties on the next $210million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $40 million in sales to the next $210 million in sales?
Options:
(A) 8%
(B) 15%
(C) 45%
(D) 52%
(E) 66%
a: Stream of consciousness: (9/210)/(5/40) = 12/35 = 34% it means that 9/210 represents only 34%. Therefore a decrease of 66%. The answer is (E).


q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 122456
(B) 145778
(C) 456678
(D) 235467
(E) 220030
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: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 The answer is (E).