July 19th 2007[quantitative]

1 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

2 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
3 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

4 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

5 If x : y = 2 :3 , y : z = 3: 4 , and x = 8 , then z - y = (A) 1 (B) 4 (C) 6 (D) 8 (E) 12 b
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