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What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?

(A)15

(B) 30

(C) 60

(D) 90

(E) 180

The Correct Answer

The perimeter of an elliptical billiard table is to be covered with red velvet. The perimeter of an ellipse is given by the formula image, where l is the length and w is the width, as shown in the diagram below. If the length is 4 feet and the width is 3 feet, what is the outside perimeter of the ellipse in feet? image

(A)imageπ image (B) image (4 image + 3) (C) imageπ image (D) (4π + 3) image (E) 5π image

Correct Answer: A

The stem-and-leaf plot below shows the scores for each golfer in a recent tournament at the Lehigh Valley Golf Club. There were 13 golfers participating in the tournament.

(Note: For example, a score of 72 would have a stem value of 7 and a leaf value of 2.) Which of the following is closest to the mean score of all the golfers in the tournament?

(A)72 (B) 74.4 (C) 75 (D) 75.9 (E) 83

Correct Answer: D

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