A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Options:
(A) 22
(B) 77
(C) 26
(D) 41
(E) 66
Answer and stream of consciousness: (D)
Stream of consciousness: (1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48
Remaining work = (1 - 7/48) = 41/48
Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48
Number of boys required = 41/48 * 41 = 41.

Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 5 sec
(B) 6 sec
(C) 7 sec
(D) 8 sec
(E) 9 sec
Answer and stream of consciousness: (C)
Stream of consciousness: 70 + 60 = 130 * 5/18 = 325/9 mps
D = 150 + 100 = 250 m
T = 250 * 9/325 = 7 se

A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they take to finish the work, if all the three work together?
Options:
(A) 4
(B) 9
(C) 2
(D) 11
(E) None
Answer and stream of consciousness: (A)
Stream of consciousness: 1/7 + 1/14 + 1/28 = 7/28 = 1/4
All three can finish the work in 4 days

Find the largest 3 digit number which is exactly divisible by 88?
Options:
(A) 765
(B) 907
(C) 944
(D) 954
(E) 968
Answer and stream of consciousness:
(E)
Stream of consciousness: Largest 3 digit number is 999
After doing 999 88 we get remainder 31
Hence largest 3 digit number exactly divisible by 88 = 999 - 31 = 968