question: What is the smallest positive integer x, such that 1,152x is a perfect cube?
Options:
(A) 4
(B) 6
(C) 8
(D) 12
(E) 18
answer: Stream of consciousness: We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3
1152 = 2^7*3^2
The minimum value of x for which 1152x is a perfect cube = 2^2*3 = 12 The answer is (D).

q: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 1/48
(B) 1/42
(C) 1/40
(D) 1/41
(E) 1/43
a: Stream of consciousness: 2/3 * 6/7 * 1/3 * 1/8 = 1/42 The answer is (B).

question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 99
(C) 77
(D) 66
(E) 12
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec The answer is (A).

q: The average of six results is 15 and that of the first five is 13. The sixth result is?
Options:
(A) 20
(B) 25
(C) 15
(D) 22
(E) 18
a: Stream of consciousness: 6 * 15 5 * 13 = 25 The answer is (B).

question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Options:
(A) 75
(B) 45
(C) 23
(D) 28
(E) 96
answer: Stream of consciousness: Average = (76 + 65 + 82 + 67 + 85)/5 = 375/5 = 75. The answer is (A).

question: An businessman earns an income of Re 2 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:
Options:
(A) 21
(B) 22
(C) 36
(D) 20
(E) 30
answer:
Stream of consciousness: 2nd day he earns = 2(2 2)
3rd day he earns = 2(3 2)
On 20th day he earns 2(20 -2) = 36 rupees The answer is (C).