Rationale: If x = 2 then f(x) = 16/15 and f(1/x) = -16/15 which is equal to -f(x)
The answer: (E)
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)
Reasoning: Rate of H = 7 acres/hr
Remaining land to be harvested = 100 - 30 = 70
Rate of H and K = 70/7 = 10 acres/hr
Rate of K = 10 - 7 = 3
Ans: (D)
Question: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 7 hours. Harvesting machine K harvested how many acres of wheat per hour?
Options:
(A) 7
(B) 8
(C) 12
(D) 3
(E) 15
Rationale: 12x = 16y = 28z
3x = 4y = 7z
3(4*7) = 4(3*7) = 7(3*4)
Addition = 28+21+12 = 61
Answer would be multiple of 61 which is 122
The answer: (C)
Question: If 12x = 16y = 28z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 58
(C) 122
(D) 84
(E) 168
Reasoning: 11/1 is equal to 11.
Ans: (D)
Question: Which is equal to 11?
Options:
(A) 1.1
(B) -11
(C) 11/11
(D) 11/1
(E) 1/11
Rationale: Number of ways of selecting 2 fiction books = 6C2
Number of ways of selecting 2 non fiction books = 6C2
6C2 * 6C2 = 15 * 15 = 225
The answer: (C)
Question: There are 6 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 225
(D) 180
(E) 200
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 12 sec
The answer: (D)
Question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 12 sec
(E) 25 sec