question: Find the value of y from (12)^3 x 6^ 4 432 = y?
Options:
(A) 3456
(B) 4567
(C) 4789
(D) 5678
(E) y=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 train 250 m long running at 72 kmph crosses a platform in 20 sec. What is the length of the platform?
Options:
(A) 150m
(B) 200m
(C) 250m
(D) 270m
(E) 300 m
a: Stream of consciousness: D = 72 * 5/18 = 20 = 400 250 = 150m The answer is (A).

question: If x and y are unique prime integers, which of the following must be even?
Options:
(A) xy
(B) x2y
(C) 2x2y
(D) 2xy
(E) xy^2
answer: Stream of consciousness: Any number multiplied by 2 has to be an even number The answer is (C).

q: In an office, 20 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A) 32
(B) 64
(C) 50
(D) 144
(E) 160
a: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(20/100)*Workers = x+16 = > x = 32 The answer is (A).

question: A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?
Options:
(A) 5/12
(B) 4/5
(C) 5/4
(D) 5/3
(E) 12/5
answer: Stream of consciousness: Let Corn profit = 3x
Wheat profit = x
Truffle Profit = 4/5 * 3x = 12/5 * x
Wheat Profit / Truffle Profit = x / [12/5 * x] = 5/12 The answer is (A).

question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 2
(B) 3
(C) 4
(D) 1
(E) 8
answer:
Stream of consciousness: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min The answer is (C).