What is the range of all the roots of |x^2 - 2| = x ?

A. 4
B. 3
C. 2
D. 1
E. 0

If x^2 = 2x + 1, what is the value of x^3 ？

A. 4x
B. 5x + 2
C. 5x - 1
D. 3x + 2
E. 3x - 2

If m and p are positive integers and m^2+p^2<100, what is the greatest possible value of mp ?

A. 36
B. 42
C. 48
D. 49
E. 51

A trader mixes two varieties of tea costing $40 per kg and $50 per kg in the ratio 5:4. If the mixture is then sold at $48 per kg, what is the profit made by the trader?

A. 5%
B. 7.5%
C. 8%
D. 10%
E. 12%

On a certain math exam, 10% of the students got 70 points, 25% got 80 points, 20% got 85 points, 15% got 90 points, and the rest got 95 points. What is the difference between the mean and the median score on this exam?

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

If the solutions to the expression x^2+px+32=0
,are m and n, where m, n and p are integers. What is the absolute maximum difference between m and n?

A. 29
B. 30
C. 31
D. 32
E. 33

A palindrome is a number that reads the same forward and backward. For example. 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits, 1, 2, 3, how many such palindromes are possible?

A) 12
B) 15
C) 18
D) 24
E) 27

In 1970, company X had 2,000 employees, 15% of whom were women, and 10% of these women were executives. In 2012, the company had 12,000 employees, 45% of whom were women. If 40% of those women were executives, what was the percent increase in the number of women executives from 1970 to 2012?

A. 71
B. 710
C. 7,100
D. 71,000
E. 710,000

From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?

A. 16
B. 24
C. 60
D. 120
E. 240

If the range of the six numbers 4, 3, 14, 7, 10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?

(A) 0
(B) 2
(C) 12
(D) 13
(E) 15