A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removing a cube 3 cm on a side from each corner of this box. What percent of the original volume is removed?
(A) 4.5 (B) 9 (C) 12 (D) 18 (E) 24
ANSWER: B
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Problem 65
Members of the Rock Soccer League buy socks and T-shirts. Socks cost $4 per pair and each T-shirt costs $5 more than a pair of socks. Each member needs one pair of socks and a shirt for home games and another pair of socks and a shirt for away games.If the total cost is $2366, how many members are in the League?
(A) 77 (B) 91 (C) 143 (D) 182 (E) 286
ANSWER: B
Problem 64
What is the difference between the sum of the first 2003 even counting numbers and the sum of the first 2003 odd counting numbers?
(A) 0 (B) 1 (C) 2 (D) 2003 (E) 4006
ANSWER: B
Problem 63
When 15 is appended to a list of integers, the mean is increased by 2. When 1 is appended to the enlarged list, the mean of the enlarged list is decreased by 1. How many integers were in the original list?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Problem 62
Riders on a Ferris Wheel travel in a circle in a vertical plane. A particular wheel has radius 20 feet and revolves at the constant rate of one revolution per minute. How many seconds does it take a rider to travel from the bottom of the wheel to a point 10 vertical feet above the bottom?
(A) 5 (B) 6 (C) 7.5 (D) 10 (E) 15
ANSWER: D
Problem 61
Andy’s lawn has twice as much area as Beth’s lawn and three times as much as Carlos’ lawn.Carlos’ lawn mower cuts half as fast as Beth’s mower and one third as fast as Andy’s mower. If they all start to mow their lawns at the same time, who will finish first?
(A) Andy (B) Beth (C) Carlos (D) Andy and Carlos tie for first
(E) All three tie
ANSWER: B
Problem 60
Four distinct circles are drawn in a plane. What is the maximum number of points where at least two of the circles intersect?
(A) 8 (B) 9 (C) 10 (D) 12 (E) 16
ANSWER: D
Problem 16
The Fibonacci sequence 1,1,2,3,5,8,13,21,…starts with two 1 , and each term afterwards is the sum of its two predecessors. Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?
(A) 0 (B) 4 (C) 6 (D) 7 (E) 9
ANSWER:C
Problem 15
Chandra pays an online service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $12.48, but in January her bill was $17.54 because she used twice as much connect time as in December. What is the fixed monthly fee?
(A) $2.53 (B) $5.06 (C) $6.24 (D) $7.42 (E) $8.77
ANSWER: D
Problem 14
Each day, Jenny ate 20% of the jellybeans that were in her jar at the beginning of that day. At the end of the second day, 32 remained. How many jellybeans were in the jar originally?
(A) 40 (B) 50 (C) 55 (D) 60 (E) 75
ANSWER: B