q: If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) f(x)
(B) 2*f(x)
(C) 1/f(x)
(D) -f(x)
(E) 2/f(x)
a: Stream of consciousness: If x = 2 then f(x) = 16/31 and f(1/x) = -16/31 which is equal to -f(x) The answer is (D).

question: There are 3 teams each with 6 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Options:
(A) 50
(B) 23
(C) 108
(D) 28
(E) 45
answer: Stream of consciousness: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 36 possibilities (6*6) since each team has 6 players. So there are a total of 108 possibilities (36*3). I hope this method is easier for you to understand. The answer is (C).

q: Some persons can do a piece of work in 24 days. Two times the number of these people will do half of that work in?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
a: Stream of consciousness: 24/ (2 * 2) = 6 days The answer is (D).

question: A man rows his boat 120 km downstream and 92 km upstream, taking 4 hours each time. Find the speed of the stream?
Options:
(A) 6 kmph
(B) 4 kmph
(C) 2 kmph
(D) 8 kmph
(E) 1 kmph
answer: Stream of consciousness: Speed downstream = d/t = 120/(4) = 30 kmph
Speed upstream = d/t = 92/(4) = 23 kmph
The speed of the stream = (30 - 23)/2 = 4 kmph The answer is (B).

q: Find the odd man out 4, 5, 15, 49, 201, 1011, 6073
Options:
(A) 10
(B) 7
(C) 5
(D) 2
(E) 3
a: Stream of consciousness: 4 x 1 + 2 = 6
6 x 2 + 3 = 15
15 x 3 + 4 = 49
49 x 4 + 5 = 210 The answer is (C).

q: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Options:
(A) 150
(B) 78
(C) 268
(D) 268
(E) 298
a:
Stream of consciousness: Length of the train be 'X'
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m ] The answer is (A).