question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 500. How much did he have with him in the beginning?
Options:
(A) s 200
(B) s 1250
(C) s 300
(D) s 450
(E) s 550
answer: Stream of consciousness: Suppose the amount in the beginning was Rs 'x'
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 500 = 1250 The answer is (B).

q: 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) 12
(D) 41
(E) 76
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 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. The answer is (D).

question: What is the maximum number of pieces of birthday cake of size 3" by 3" that can be cut from a cake 21" by 21"?
Options:
(A) 5
(B) 7
(C) 49
(D) 20
(E) 25
answer: Stream of consciousness: The prompt is essentially asking for the maximum number of 3x3 squares that can be cut from a larger 21 by 21 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 7 'pieces' each, we have (7)(7) = 49 total smaller squares (at maximum). The answer is (C).

q: In what time will a railway train 64 m long moving at the rate of 46 kmph pass a telegraph post on its way?
Options:
(A) 3
(B) 5
(C) 4
(D) 6
(E) 7
a: Stream of consciousness: T = 64/46 * 18/5 = 5 sec The answer is (B).

question: An design manager has 10patterns of chairs & 6patterns of tables. In how many ways can he make a pair of table & chair?
Options:
(A) 20
(B) 60
(C) 80
(D) 90
(E) 100
answer: Stream of consciousness: He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 6 ways
Hence one chair and one table can be arranged in 10 x 6 ways = 60 ways The answer is (B).

question: In what time will a railway train 52 m long moving at the rate of 24 kmph pass a telegraph post on its way?
Options:
(A) 3 sec
(B) 4 sec
(C) 8 sec
(D) 6 sec
(E) 7 sec
answer:
Stream of consciousness: T = 52/24 * 18/5 = 8 se The answer is (C).