gre quant aug 17

1 Which of the following integers equals the product of two prime numbers?
(A) 19
(B) 27
(C) 30
(D) 41
(E) 58 e

2 What is the smallest positive integer by which 126 can be multiplied so that the product is the square of an integer?
(A) 4
(B) 7
(C) 9
(D) 14
(E) 126 d

3 The sum of three consecutive odd integers, x, y, and z , in ascending order, is 39. What is the sum of the three consecutive odd integers that immediately follow z ?
(A) 78
(B) 57
(C) 48
(D) 45
(E) 42 b

4 If the average (arithmetic mean) of x, y, and z is an even integer, then x + y + z could
be
(A) 15
(B) 16
(C) 18
(D) 20
(E) 21 c

5 For how many of the integers from 10 to 99 is at least one of the two digits a 4?
(A) 9
(B) 10
(C) 18
(D) 19
(E) 20 c

6 If the average (arithmetic mean) of a,b, and c is 40, what is the average (arithmetic
mean) of (3a + 10), (3b + 10) , and (3c + 10) ?
(A) 50
(B) 70
(C) 130
(D) 150
(E) It cannot be determined from the information given. C

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

gre quant august 27

A vessel contains a mixture of two liquids a and B in the ratio 7:5.When 9 litres of mixture is drawn off and the flask is filled with liquid B the new ratio of a to b becomes 7:9.How many litres of A was initially present in the flask?
a)20
b)24
c)21
d)10
E)15