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The average of four integers is 8. If the greatest of the four integers is 16, what is the minimum possible value of the least of the four integers

A. -32
B. -16
C. -13
D. 0
E. 1

How many number between 300 and 500 are divisible by 13 ?

A. 13
B. 14
C. 15
D. 16
E. 17

If x, y, and z are positive integers such that x < y < z and x + y + z = 6, then what is the value of z ?

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

If x>1 and a /b=1−1 /x, then b /a=

A. x

B. x - 1

C. x−1/x

D. x/x−1

E. 1 /x −1

How many factors of 330 are odd numbers greater than 1?

A. 3
B. 4
C. 5
D. 6
E. 7

Class A has boys to girls in the ratio 2 : 3, and Class B has girls to boys in the ratio 5 : 3. If the number of students in Class A is at least twice as many as the number of students in Class B, what is the minimum percentage of boys possible, when both classes are considered together?

A. 30%
B. 33.33%
C. 37.5%
D. 39.17%
E. 40%

What is the product of all roots of the equation (x+1)^2=|x+1| ?

A. -2
B. -1
C. 0
D. 1
E. 2

If x = 3 and y = 1/6 then the value of x in terms of y is?

A. 0.5y
B. 2y
C. 4y
D. 8y
E. 18y

The average (arithmetic mean) of 30 integers is 5. Among these 30 integers, there are exactly 20 which do not exceed 5. What is the highest possible value of the average (arithmetic mean) of these 20 integers?

A. 3
B. 3.5
C. 4
D. 4.5
E. 5

A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 30 marks more than the pass mark. What is the pass mark?
(A) 33.33
(B) 50
(C) 66.66
(D) 70
(E) None of these