Three types of pencils, J,K, and L, cost $0.05, $0.10, and $0.25 each, respectively. If a box of 32 of these pencils costs a total of $3.40 and if there are twice as many K pencils as L pencils in the box, how many J pencils are in the box?

(A) 6

(B) 12

(C) 14

(D) 18

(E) 20

Highlight to see answer: C

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If n is an integer, is n/15 an integer?

(1) 3n/15 is an integer.

(2) 8n/15 is an integer.

Highlight to see answer: B

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In 1980 the government spent $12 billion for direct cash payments to single parents with dependent children. If this was 2,000 percent of the amount spent in 1956, what was the amount spent in 1956? (1 billion = 1,000,000,000)

(A) $6 million

(B) $24 million

(C) $60 million

(D) $240 million

(E) $600 million

Highlight to see answer: E

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All trainees in a certain aviator training program must take both a written test and a flight test. If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests?

(1) 10 percent of the trainees did not pass either test.

(2) 20 percent of the trainees passed only the flight test.

Highlight to see answer: D

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A merchant purchased a jacket for $60 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?

(A) $0

(B) $3

(C) $4

(D) $12

(E) $15

Highlight to see answer: C

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