question: Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 6 sec
(B) 7 sec
(C) 7 2/2 sec
(D) 8 sec
(E) 9 sec
answer: Stream of consciousness: 70 + 80 = 150 * 5/18 = 125/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/125 = 6 sec The answer is (A).


q: In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Options:
(A) 23
(B) 277
(C) 18
(D) 178
(E) 181
a: Stream of consciousness: Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89 The answer is (B).


question: John makes $50 a week from his job. He earns a raise andnow makes $90 a week. What is the % increase?
Options:
(A) 15%
(B) 16.66%
(C) 17.8%
(D) 80%
(E) 21%
answer: Stream of consciousness: Increase = (40/50)*100 = (4/5)*100 = 80%. The answer is (D).


q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 3452
(B) 2343
(C) 2435
(D) 2578
(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: John makes $60 a week from his job. He earns a raise andnow makes $78 a week. What is the % increase?
Options:
(A) 16.12%
(B) 16.66%
(C) 30%
(D) 17.66%
(E) 18.1%
answer: Stream of consciousness: Increase = (18/60)*100 = (3/10)*100 = 30%. The answer is (C).


question: If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/20
(E) 1/40
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: 25 + 15 + 55 = 95% 100 - 95 = 5% to all others The answer is (D).