question: If f(x) = x^4/(x^4 - 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)
answer: Stream of consciousness: If x = 2 then f(x) = 16/15 and f(1/x) = -16/15 which is equal to -f(x) The answer is (E).

q: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 227
(B) 269
(C) 266
(D) 298
(E) 225
a: Stream of consciousness: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/6
15 women's 1 day work = (1/6 - 10/100) = 1/15
1 woman's 1 day work = 1/225
1 woman alone can complete the work in 225 days. The answer is (E).

question: Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 7
answer: Stream of consciousness: 2 + 3 + 5 + 7 +11 + 13 + 17 + 23 + 29 = 100 ( sum is even)
Least number = 2 The answer is (A).

q: The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options:
(A) 89 kmph
(B) 92 kmph
(C) 90 kmph
(D) 65 kmph
(E) 77 kmph
a: Stream of consciousness: S = (120 + 60)/2 = 90 kmph The answer is (C).

question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 6 days?
Options:
(A) 2/5
(B) 1/6
(C) 1/3
(D) 1/9
(E) 2/6
answer: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 6 days = 6 (1/18) = 1/3. The answer is (C).

question: In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 33 1/9%
(B) 33 1/3%
(C) 332 1/3%
(D) 33 9/3%
(E) 13 1/3%
answer:
Stream of consciousness: P = (P*3*R)/100
R = 33 1/3% The answer is (B).