question: There are 39 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 55
(D) 58
(E) 63
answer: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 39 + 28 - 12 = 55. The answer is (C).

q: A truck traveled 120 km with a speed of 60 kmh. How much time did it take to reach the destination?
Options:
(A) 3 hours
(B) 4 hours
(C) 5 hours
(D) 2 hours
(E) 6 hours
a: Stream of consciousness: Time = Distance/Speed
120/60 = 2 The answer is (D).

question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
Options:
(A) 267
(B) 766
(C) 810
(D) 868
(E) 812
answer: Stream of consciousness: 12 men 120 acres 36 days
54 men ? 54 days
120 * 54/12 * 54/36
10 * 54 * 3/2
54 * 15 = 810 The answer is (C).

q: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Options:
(A) 190 metres
(B) 160 metres
(C) 180 metres
(D) 120 metres
(E) 200 metres
a: Stream of consciousness: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s
Time taken to cross, t = 18 s
Distance Covered, d = vt = (400/36) 18 = 200 m
Distance covered is equal to the length of the train = 200 m The answer is (E).

question: In how many different ways can the letters of the word "AIM" be rearrangement?
Options:
(A) 4
(B) 2
(C) 7
(D) 9
(E) 6
answer: Stream of consciousness: Option 'E'
The total number of arrangements is
3P3 = 3! = 6 The answer is (E).

question: If 12 men can reap 120 acres of land in 16 days, how many acres of land can 36 men reap in 32 days?
Options:
(A) 269
(B) 512
(C) 369
(D) 720
(E) 450
answer:
Stream of consciousness: 12 men 120 acres 16 days
36 men ? 32 days
120 * 36/12 * 32/16
120 * 3 * 2
120 * 6 = 720 The answer is (D).