question: Twenty percent of Country Y's yearly exports come from fruit exports. One-fourth of all fruit exports from Country Y are orange exports. If country Y generates $40 million from its orange exports, how much money does it generate from its yearly total of exports?
Options:
(A) $21.25m
(B) $800m
(C) $106.25m
(D) $127.5m
(E) $153m
answer: Stream of consciousness: 20/100*1/4*(total) = 40
1/20*(total) = 40
(total) = 40*20 = 800 The answer is (B).
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question: The length of a rectangle is increased by 25% and its breadth is decreased by 15%. What is the effect on its area?
Options:
(A) 1288
(B) 1299
(C) 10625
(D) 10000
(E) 2887
answer: Stream of consciousness: 100 * 100 = 10000
125 * 85 = 10625 The answer is (C).
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question: There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?
Options:
(A) 10
(B) 20
(C) 45
(D) 60
(E) 120
answer: Stream of consciousness: Each person is one participant of 6 games. So there are in all 6*15 = 90 instances of one participant games. But each game has 2 participants so total number of games = 90/2 = 45 The answer is (C).
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question: For integers U and V, when U is divided by V, the remainder is odd. Which of the following must be true?
Options:
(A) At least one of U and V is odd
(B) The sum U + V is odd
(C) U and V share no common factors other than 1
(D) UV is odd.
(E) U is odd
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: At least one of U and V is odd The answer is (A).
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