q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2345
(B) 3456
(C) 2334
(D) 3456
(E) 5184
a: 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).

question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 250
(D) 168
(E) 150
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 250 m The answer is (C).

q: In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?
Options:
(A) 3 sec
(B) 4 sec
(C) 5 sec
(D) 6 sec
(E) 7 sec
a: Stream of consciousness: T = 56/39 * 18/5 = 5 se The answer is (C).

question: Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?
Options:
(A) 70%
(B) 60%
(C) 50%
(D) 40%
(E) 30%
answer: Stream of consciousness: Increase = (60/120)*100 = (1/2)*100 = 50%. The answer is (C).

q: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 360 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 5/8
(E) 20/9
a: Stream of consciousness: Distance traveled by Eddy = 600 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 600/3 = 200 km/hour
Distance traveled by Freddy = 360 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 360/4 = 90 km/hour
Ratio of average speed of Eddy to Freddy = 200/90 = 20/9 The answer is (E).

q: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Options:
(A) 2 days
(B) 8 days
(C) 6 days
(D) 8 days
(E) 9 days
a:
Stream of consciousness: A + B = 1/20 + 1/15 = 7/60
A + C = 1/20 + 1/12 = 8/60
7/60 + 8/60 = 15/60 = 1/4
4 days * 2 = 8 days The answer is (B).