question: Two persons A and B can complete a piece of work in 18 days and 24 days respectively. If they work together, what part of the work will be completed in 2 days?
Options:
(A) 7/36
(B) 9/35
(C) 4/37
(D) 8/35
(E) 5/3
answer: Stream of consciousness: A's one day's work = 1/18
B's one day's work = 1/24
(A + B)'s one day's work = 1/18 + 1/24 = 7/72
The part of the work completed in 3 days = 2 (7/72) = 7/36. The answer is (A).
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question: If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region?
Options:
(A) 25/
(B) 30/
(C) 20
(D) twenty five (25)
(E) 30
answer: Stream of consciousness: 60/360 = 1/6
1/6 of total area = 5
5/6 of total area = 5*5 = 25 The answer is (D).
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question: A corporation triples its annual bonus to 50 of its employees. What percent E of the employees' new bonus is the increase?
Options:
(A) 50%
(B) 6623%
(C) 100%
(D) 200%
(E) 300%
answer: Stream of consciousness: E of the employees' new bonus is the increase Hence The answer is (B).
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question: Sam's grade was 60th percentile of the 100 grades for his class. Of the 120 grades from another class, 48 were higher than Sam's, and the rest were lower. If no other grade was the same as Sam's grade, then Sam's grade was what percentile of the grades of the two classes of two classes combined?
Options:
(A) 51st
(B) 60th
(C) 67th
(D) 72nd
(E) 92nd
answer:
Stream of consciousness: 51st/60th/67th/72nd/92nd The answer is (B).
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