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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

The Correct Answer

For each of 3 years, the table below gives the number of different routes a runner ran, the number of runs she ran, and the total number of miles she ran.

To the nearest tenth of a mile, what is the average number of miles the runner ran per run in 2005?

(A) 2.5 (B) 2.6 (C) 3.2 (D) 4.8 (E) 5

Correct Answer: C

In the following figure, sin θ=

(A) (B) (C) (D) (E)

Correct Answer: E

For any positive two-digit integer x with tens digit t, units digit u, and t ≠ u, y is the two-digit integer formed when the digits of x are reversed. What is the greatest possible value of (y - x) when t is less than u?

(A)u - t (B) ut - tu (C) t2 - 10tu + u2 (D) 9|u - t| (E) Cannot be determined from the given information

Correct Answer: D

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