q: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
Options:
(A) 12000
(B) 10000
(C) 15000
(D) 20000
(E) 25000
a: Purchase = 8748/(1-10/100^3) = 12000 The answer is (A).
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q: If x is an odd integer, which of the following is an odd integer?
Options:
(A) 2x
(B) 3x-1
(C) 5x+6
(D) x+x^2
(E) 6x-6
a: Plug in an odd integer; in this case 3
(2*3) = 6 Even
(3*3)-1 = 8 Even
(5*3)+6 = 15 + 6 = 21 Odd
3+3^2 = 3 + 9 = 12 Even
(6*3)-6 = 18 - 6 = 12 Even The answer is (C).
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q: A boy runs 200 metres in 60 seconds. What is his speed ?
Options:
(A) 12 km/hr
(B) 24 km/hr
(C) 13 km/hr
(D) 14 km/hr
(E) 16 km/hr
a: 200/60 * 18/5 = 12 km/hr The answer is (A).
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q: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
(A) 8%
(B) 15%
(C) 45%
(D) 52%
(E) 56%
a:
First $20 million: royalties/sales ratio = 3/20 = 36/240
Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240 The answer is (C).
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