Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2345
(B) 3456
(C) 2334
(D) 3456
(E) 5184
Answer and stream of consciousness: (E)
Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62

A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/50
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
Answer and stream of consciousness: (A)
Stream of consciousness: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 40/100 = 2/5
Three are independent;probability of rich and fair complexioned girl is:
(1/4) (1/5) (2/5) = 1/50

If a man can cover 24 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 324 km
(D) 1887 km
(E) 177 km
Answer and stream of consciousness: (C)
Stream of consciousness: 24 m/s = 24 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 24 * 18/5 * 15/4 km = 324 km.

John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 18%
(D) 21%
(E) 75%
Answer and stream of consciousness:
(E)
Stream of consciousness: Increase = (30/40)*100 = 75%.