q: If f(x) = x^3/(x^5 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) -f(x) 
(B) 1/f(x) 
(C) 2/f(x) 
(D) 3/f(x) 
(E) f(x) 
a: Stream of consciousness: If x = 2 then f(x) = 8/31 and f(1/x) = -8/31 which is equal to -f(x) The answer is (A).


question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
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Options:
(A) 12
(B) 19
(C) 72
(D) 180
(E) 720
answer: Stream of consciousness: 4C3 * 4C2 * 3C2 = 4*6*3 = 72. The answer is (C).


q: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 39
(B) 37
(C) 342
(D) 288
(E) 261
a: Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).


question: There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?
Options:
(A)  1
(B)  2
(C)  46
(D)  50
(E)  97
answer: Stream of consciousness: We have 99 Presidents and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 Presidents must leave. The answer is (B).


q: How much 90% of 40 is greater than 80% of 30?
Options:
(A) 12
(B) 14
(C) 16
(D) 17
(E) 18
a: Stream of consciousness: (90/100) * 40 – (80/100) * 30
36 - 24 = 12 The answer is (A).


q: Which of the following numbers is divisible by 9?
Options:
(A) 23274
(B) 25181
(C) 31001
(D) 50123
(E) 11251
a:

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: 23274. This is the only option with last two digits divisible by 9 The answer is (A).