question: M is 30% of Q, Q is 20% of P and N is 50% of P. What is M / N
Options:
(A) 3/28
(B) 3/27
(C) 3/21
(D) 3/22
(E) 3/25
answer: Stream of consciousness: Take P = 100, then N = 50, Q = 20, M = 6. So M/N = 3/25 The answer is (E).


q: Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 6 sec
(B) 7 sec
(C) 7 2/2 sec
(D) 8 sec
(E) 9 sec
a: Stream of consciousness: 70 + 80 = 150 * 5/18 = 125/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/125 = 6 sec The answer is (A).


question: There are 4 magazines lying on a table; 2 are fashion magazines and the other 2 are sports magzines. If 1 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
Options:
(A) 1
(B) 1/2
(C) 1/4
(D) 1/6
(E) 1/8
answer: Stream of consciousness: 1- (2c1/4c1) = 1-1/2 = 1/2 The answer is (B).


q: If x and y are unique prime integers, which of the following must be odd?
Options:
(A) xy^2
(B) 2x+2y
(C) 2x−2y
(D) 2x/2y
(E) x−y
a: Stream of consciousness: Any number multiplied by 2 has to be an even number henc The answer is (E).


question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution Q in the liquid in the tank after 3 minutes?
Options:
(A) 1/11
(B) 2/11
(C) 3/11
(D) 4/11
(E) 5/11
answer: Stream of consciousness: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by B in 3 minutes = 3/20
Required ratio = 3/20 * 20/11 = 3/11 The answer is (C).


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:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
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).