question: Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2568
(B) 3468
(C) 4500
(D) 4876
(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 motorcyclist goes from Bombay to Pune, a distance of 224 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 4:7
(D) 1:1
(E) 1:8
a: Stream of consciousness: T = 224/32 = 7 h
T = 7 - 3 = 4
Time Ratio = 7:4
Speed Ratio = 4:7 The answer is (C).


question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Options:
(A) 2528
(B) 2526
(C) 2522
(D) 2722
(E) 2426
answer: Stream of consciousness: A = 1600(21/20)3 = 2522 The answer is (C).


q: There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament?
Options:
(A) 10
(B) 20
(C) 40
(D) 60
(E) 120
a: Stream of consciousness: Each person is one participant of 4 games. So there are in all 16*5 = 80 instances of one participant games. But each game has 2 participants so total number of games = 80/2 = 40 The answer is (C).


question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/9%
(B) 3 7/3%
(C) 7 1/3%
(D) 5 1/3%
(E) 1 1/3%
answer: Stream of consciousness: P = (P*30*R)/100
R = 3 1/3% The answer is (A).


question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 12 sec
(E) 17 sec
answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 12 sec The answer is (D).