q: The floor of a rectangular room is 20 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
Options:
(A) 144 m2
(B) 120 m2
(C) 108 m2
(D) 158 m2
(E) None of these
a: Stream of consciousness: Area of the outer rectangle = 24 Ã— 16 = 384 m2
Area of the inner rectangle = 20 Ã— 12 = 240 m2
Required area = (304 â€“ 180) = 144 m2 The answer is (A).
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q: How many numbers between 101 and 250, exclusive are divisible by three?
Options:
(A) 34
(B) 41
(C) 50
(D) 83
(E) 148
a: Stream of consciousness: Numbers upto 250 divisible by 3 is 250/3 = 83
Numbers upto 101 divisible by 3 is 101/3 = 33
Total number of numbers between 101 and 250 that are divisible by 3 is 83 - 33 = 50 The answer is (C).
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q: There are 42 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} = 42 + 28 - 12 = 58. The answer is (D).
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