q: How much 60% of 50 is greater than 50% of 30?
Options:
(A) 18
(B) 91
(C) 11
(D) 17
(E) 15
a: Stream of consciousness: (60/100) * 50 – (50/100) * 30
30 - 15 = 15 The answer is (E).


question: A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 1 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph
answer: Stream of consciousness: Speed downstream = d/t = 80/(2 1/2) = 32 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (32 - 18)/2 = 7 kmph The answer is (E).


q: There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17 B. 29 C. 23 D. 31
Options:
(A) 17
(B) 29
(C) 23
(D) 31
(E) 33
a: Stream of consciousness: (7429/12673) = 17/29 Fourth Number is 29 The answer is (B).


question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 3446
(B) 2345
(C) 5467
(D) 4767
(E) 5184
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).


q: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
Options:
(A) 62/63
(B) 125/126
(C) 1/63
(D) 1/42
(E) 1/126
a: Stream of consciousness: Answer: Option E
Out of nine, five are good and four are defective. Required probability = â´câ‚„/â¹câ‚„ = 1/126 The answer is (E).


q: There are 47 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) 51
(D) 58
(E) 63
a:

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: {Total} = {M} + {N} - {Both}
{Total} = 47 + 28 - 12 = 63. The answer is (E).