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The minutes and seconds on a 60-minute digital timer are represented by 3 or 4 digits. What is the largest product that can be obtained by multiplying the digits in one of these representations?

(Note: When the timer displays 16:15, the product of the digits is (1)(6)(1)(5) = 30.)

(F) 90

(G) 2,025

(H) 3,481

(J) 3,600

(K) 6,561

The Correct Answer
Explanation

The cost to rent headphones at the listening library is $3.50 for the first hour (or any fraction thereof), $2.50 for the second hour (or any fraction thereof), and $1.25 for each additional hour (or any fraction thereof) beyond the first two. If you rent headphones at 2:12 P.M. and are charged $9.75 when you return them, then which of the following could be the time you return the headphones? (Note: Assume that this listening library does not charge additional taxes or fees.)

(A)5:30 P.M. (B) 6:30 P.M. (C) 7:30 P.M. (D) 8:00 P.M. (E) 8:30 P.M.

Correct Answer: B

Alana leaves home to drive to college. She drives 200 miles in 4 hours before stopping for gas. She then drives 10 miles per hour faster than she did on the first part of her trip, and arrives at her dorm in 3 hours. How many miles did she drive in total?

(A)200 (B) 300 (C) 350 (D) 380 (E) 430

Correct Answer: D

The following figure shows a regular octagon inscribed in a circle. The arc length from Ato Bis 6π. What is the area of the shaded region of the circle?

(F) 8π(G) 16π(H) 24π(J) 36π(K) 64π

Correct Answer: H

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