question: What is the greatest positive integer x such that 7^x is a factor of 343^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
answer: Stream of consciousness: 343^10 = (7^3)^10 = 7^30 The answer is (E).
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question: Find the odd man out? 3, 7, 15, 17, 22, 27, 29
Options:
(A) 15
(B) 17
(C) 22
(D) 27
(E) 0
answer: Stream of consciousness: Each of the numbers is odd number except 22. The number 22 is the only even number. The answer is (C).
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question: A, B and C can do a work in 7 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Options:
(A) 2 50/59
(B) 2 5/59
(C) 2 2/50
(D) 2 2/59
(E) 2 1/59
answer: Stream of consciousness: Work done by all three of them in one day = 1/7 + 1/8 + 1/12 = 59/168
The number of days required = 168/59 = 2 50/59 days. The answer is (A).
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question: In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Options:
(A) 22
(B) 20
(C) 25
(D) 30
(E) 35
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: T = (100 * 16500)/(15 * 5000) = 22 years The answer is (A).
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