Using the digits 1,2,3,4,5,6,7, and 9, from 4 two-digit prime numbers, using each digit only once. what is the sum of the 4 prime numbers ?
(A) 150 (B) 160 (C) 170 (E) 180 (E) 190
ANSWER: E
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Problem 46
Let a+1=b+2=c+3=d+4=a+b+c+d+5. What is a+b+c+d ?
(A) -5 (B) -10/3 (C) -7/3 (D) 5/3 (E) 5
ANSWER: B
Problem 45
Given a triangle with side lengths 15,20,and 25, find the triangle’s smallest height.
(A) 6 (B) 12 (C) 12.5 (D) 13 (E) 15
ANSWER: B
Problem 44
Jamal wants to save 30 files onto disks, each with 1.44 MB space. 3 of the files take up 0.8 MB each, 12 of the files take up 0.7 MB each, and the rest take up 0.4 MB each. It is not possible to split a file onto 2 different disks. What is the smallest number of disks needed to store all 30 files ?
(A) 12 (B) 13 (C) 14 (D) 15 (E) 16
ANSWER: B
Problem 43
What is the sum of all of the roots of (2x+3)(x-4)+(2x+3)(x-6)=0 ?
(A) 7/2 (B) 4 (C) 5 (D) 7 (E) 13
ANSWER: A
Problem 42
There are 3 numbers A,B,and C, such that 1001C-2002A=4004, and 1001B+3003A=5005. What is the average of A,B,and C?
(A) 1 (B) 3 (C) 6 (D) 9 (E) Not uniquely determined
ANSWER: B
Problem 41
From a starting number, Cindy was supposed to subtract 3, and then divide by 9, but instead, Cindy subtracted 9, then divided by 3, getting 43. If the correct instructions were followed, what would the result be ?
(A) 15 (B) 34 (C) 43 (D) 51 (E) 138
Problem 40
How many positive integers not exceeding 2001 are multiples of 3 or 4 but not 5?
(A) 768 (B) 801 (C) 934 (D) 1067 (E) 1167
ANSWER: B
Problem 39
A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white?
(A) 3/10 (B) 2/5 (C) 1/2 (D) 3/5 (E) 7/10
ANSWER: D
Problem 38
A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone. The cone has diameter 10 and altitude 12, and the axes of the cylinder and cone coincide. Find the radius of the cylinder.
(A) 8/3 (B) 30/11 (C) 3 (D) 25/8 (E) 7/2
ANSWER: B