1. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.

 Quantity A Quantity B The number of integers in set S 72

2. Which of the following numbers is farthest from the number 1 on the number line?

(A) -10
(B) -5
(C) 0
(D) 5
(E) 10

3. For a given two-digit positive integer, the tens digit is 5 more than the units digit. The sum of the digits is 11. Find the integer.

4.  k is a digit in the decimal 1.3k5, and 1.3k5 is less than 1.33.

 Quantity A Quantity B k 1

5. If -\frac{ m }{ 9 } is an even integer, which of the following must be true?

(A) m is a negative number. 
(B) m is a positive number. 
(C) m is a prime number. 
(D) m is an odd integer. 
(E) m is an even integer.

6. Which one of the following choices does not equal any of the other choices?

(A) 5.43 + 4.63-3.24-2.32
(B) 5.53 + 4.73-3.34-2.42
(C) 5.53 + 4.53-3.34-2.22
(D) 5.43 + 4.73-3.24-2.42
(E) 5.43 + 4.73-3.14-2.22

7. X is a 3-digit number and Y is a 4digit number. All the digits of X are greater than 4, and all the digits of Y are less than 5.

 Quantity A Quantity B The sum of the digits of X The sum of the digits of Y

8. x is a two-digit number. The digits of the number differ by 6, and the squares of the digits differ by 60.

 Quantity A Quantity B x 60

9.  Which one of the following is the minimum value of the sum of two integers whose product is 36?

(A) 37
(B) 20
(C) 15
(D) 13
(E) 12

10. n is a positive integer

 Quantity A Quantity B n The sum of two integers whose product is n

11.  k is a digit in the decimal 12.15k9, which, if rounded to the nearest hundredth, would equal 12.16.

 Quantity A Quantity B k 4

12. To the nearest integer, the non-negative fourth root of integer n rounds to 3. Inclusive, n is between

(A) 0and1
(B) 2 and 3
(C) 4 and 9
(D) 10 and 39
(E) 40 and 150

13.  Positive integers a and b each have exactly four factors. If a is a one-digit number and b= a + 9, what is the value of a?

14. If a and c are positive integers and 4a + 3 = b and 4c + 1 = d, which of the following could be the value of b + d?

(A) 46
(B) 58
(C) 68
(D) 74
(E) 82

15. If a + b + c + d + e is odd, and a, b, c, d, and e are integers, which of the following could be the number of integers among a, b, c, d, and e that are even?
Indicate all such numbers.

(A) 0
(B) 1
(C) 2 
(D) 3 
(E) 4
(F) 5

1 C
2 A
3 83
4 D
5 E
6 E
7 D
8 D
9 E
10 B
11 A
12 E
13 6
14 C
15 A,C,E