q: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:8
(C) 1:1
(D) 1:6
(E) 1:3
a: Stream of consciousness: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 The answer is (A).

question: If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =
Options:
(A) 1155
(B) 2310
(C) 4620
(D) 30030
(E) 60060
answer: Stream of consciousness: The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2 = 2310. The answer is (B).

q: if deepak has 5 pants and 3 shirts how many combinations can deepak make?
Options:
(A) 10
(B) 9
(C) 15
(D) 20
(E) 25
a: Stream of consciousness: If deepak can only choose one of each, there are 5*3 = 15 possible combinations. The answer is (C).

question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2567
(B) 3589
(C) 3789
(D) 4890
(E) 5184
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

q: A boy runs 200 metres in 48 seconds. What is his speed ?
Options:
(A) 10 km/hr
(B) 15 km/hr
(C) 11 km/hr
(D) 12 km/hr
(E) 14 km/hr
a: Stream of consciousness: 200/48 * 18/5 = 15 km/hr The answer is (B).

q: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 2 strokes ?
Options:
(A) 3/4
(B) 7/8
(C) 1/4
(D) 1/8
(E) 1/16
a:
Stream of consciousness: Left After 1st stroke = 1/2
Left After 2nd stroke = 1/2 * 1/2 = 1/4
So removed = 1- 1/4 = 3/4 The answer is (A).