question: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) 41
(B) 43
(C) 31
(D) 84
(E) 81
answer:(A)
Stream of consciousness:(1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12
Work done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48
Remaining work = 1 - 7/48 = 41/48
Work done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48
Therefore, Number of boys required = ((41/48) x 48) = 41


question:In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?
Options:
(A) 17/25
(B) 18/49
(C) 23/30
(D) 23/36
(E) 29/36
answer:(C)
Stream of consciousness:Girls = 3/5, boys are 2/5
Absentees are (2/9)*(3/5) + (1/4)*(2/5) = 7/30
Present Students are 23/30


question:What is the least number should be added to 1056, so the sum of the number is completely divisible by 27?
Options:
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
answer:

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
(D)
Stream of consciousness:(1056 / 27) gives remainder 3
24 + 3 = 27, So we need to add 24