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How many different positive 3-digit integers can be formed if the three digits 3, 4, and 5 must be used in each of the integers?


(B) 7

(C) 8

(D) 9

(E) 12

The Correct Answer

Given triangle CDE (shown below) with a right angle at point E, what is the length of leg DE?

(F) 8 (G) (H) 6 (J) (K) 16

Correct Answer: H

A basketball player has attempted 30 free throws and made 12 of them. Starting now, if he makes every free throw attempted, what is the least number of additional free throws he must attempt to raise his free-throw percentage to at least 55%?

(Note: Free-throw percentage =

× 100.)

(A)5 (B) 10 (C) 16 (D) 17 (E) 29

Correct Answer: B

Avi is trying to draw a map of his most recent bike ride. He chose to place Market Street on the x-axis and Broad Street on the y-axis. He rode 60 m at an angle of 60° relative to Market Street, then rode 100 m at an angle of 45° relative to Market Street, and finally rode 35 m directly north on Broad Street. How many meters north of Market Street did Avi ride?

(A) 35 (B) 115 (C) 195 (D) 50 + 30 (E) 35 + 50 + 30

Correct Answer: E

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