gre quant 18 august

1 The volume of a box with a square base is 54 cubic centimeters. If the height of the box is twice the width of the base, what is the height, in centimeters?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 9 b

2 In a certain set of weights, for each positive integer n less than 10, there is one weight that weighs 2n grams. What is the least number of such weights with a combined weight of 108 grams?
(A) Three
(B) Four
(C) Five
(D) Six
(E) Seven b

3 If (a -1)(b - 2) = 0, which of the following must be true?
I. a = 1 and b = 2.
II. If a ¹1, then b = 2
III. If a =1, then b ¹ 2 .
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III b

4 If (x - 5)( y + 2) = 0 , which of the following must be true?
(A) x = y
(B) x > y
(C) x < y
(D) xy = -10
(A) None of the above e

5 If (-2,k) is a point on the graph of y = 2×2 - 3x +1, then k =
(A) -13
(B) -1
(C) 3
(D) 11
(E) 15 e

6 The product of two positive integers m and n is twice their sum. If n is 6, what is the
value of m ?
(A) 8
(B) 6
(C) 4
(D) 3
(E) 2 d