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: Solve below question 2x - 1 = 17
Options:
(A) -8
(B) -9
(C) -5
(D) -4
(E) 9
answer: Stream of consciousness: 1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9 The answer is (E).

q: The average of first 10 odd numbers is?
Options:
(A) 11
(B) 10
(C) 99
(D) 77
(E) 65
a: Stream of consciousness: Sum of 10 odd no. = 100
Average = 100/10 = 10 The answer is (B).

question: Find 96 98
Options:
(A) 92/8
(B) 92/12
(C) 92/13
(D) 92/10
(E) 92/11
answer: Stream of consciousness: Here both numbers are less than 100. So they are deficient of - 4 and - 2 compared with 100. So The answer is (A).

q: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Options:
(A) 2x2 3xy + y2
(B) (2x + y) (x y)
(C) (x y) 2 + x(x y)
(D) (2x y) 2 x(2x y)
(E) (2x y) 2 2x2 + xy
a: Stream of consciousness: Other parts are equal to
2x2 + y2 3xy. The answer is (B).

q: The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options:
(A) 22
(B) 75
(C) 44
(D) 28
(E) 12
a:
Stream of consciousness: S = (90 + 60)/2 = 75 kmph The answer is (B).