The sum of the two 5-digit numbers ABC10 and ABC12 is 123422. What is A+B+C ?
(A) 10 (B) 11 (C) 12 (D) 13 (E) 14
ANSWER: E
Author: admin
Problem 69
What is the probability that a randomly drawn positive factor of 60 is less than 7?
(A) 1/10 (B) 1/6 (C) 1/4 (D) 1/3 (E) 1/2
ANSWER: E
Problem 68
How many non-congruent triangles with perimeter 7 have integer side lengths?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
ANSWER: C
Problem 67
It takes Mary 30 minutes to walk uphill 1 km from her home to school, but it takes her only 10 minutes to walk from school to her home along the same route. What is her average speed, in km/hr, for the round trip?
(A) 3 (B) 3.125 (C) 3.5 (D) 4 (E) 4.5
ANSWER: A
Problem 66
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
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