July 17th 2007[quantitative]

1 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

2 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

3 If each of 4 subsidiaries of Corporation R has been granted a line of credit of $700,000 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of
$112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of
Corporation R?
(A) $1,568,000
(B) $448,000
(C) $406,000
(D) $313,600
(E) $116,000 B


4 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