­If x and y are positive integers and x+y−3=|1−y|, what is the value of x?

A. 1
B. 2
C. 3
D. 4
E. 5

What is the minimum possible value of x^2–6x+14?

A. 0
B. 1
C. 5
D. 6
E. 14

The boy ans girls in a college are in the ratio 3: 2. If 20% of the boys and 25% of the girls are adults , the percentage of the students who are not adults ?

A) 52
B) 58
C) 78
D) 40
E) 60

4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?

(A) 24 days
(B) 32 days
(C) 36 days
(D) 40 days
(E) 42 days

If a+b=2c, a+c=b, and b+c=5a, what is the ratio of a: b: c?

A. 1:2:3
B. 1:3:2
C. 3:2:1
D. 1:4:2
E. 1:2:5

If (x − y)(x + y) = 143, and (x − y) and (x + y) are prime, what is the value of the sum of all possible values of y?

A. -1
B. 0
C. 1
D. 12
E. 24

If k is the average (arithmetic mean) of the first 8 positive multiples of 6 greater than 6, and if p is the median of the first 8 positive multiples of 6 greater than 6, what is the value of k/p ?

A. 10/11
B. 1
C. 11/10
D. 12/11
E. 0

If x is a number such that x^2−3x+2=0 and x^2−x−2=0, what is the value of x ?

(A) -2
(B) -1
(C) 0
(D) 1
(E) 2

If x^2 /4 is an integer greater than 50, and x is a positive integer, then what is the smallest possible value for x^2 ?

A. 121
B. 144
C. 169
D. 225
E. 256

If x, y, and z are positive integers and 3x = 4y = 7z, then the least possible value of x + y + z is

A. 33
B. 40
C. 49
D. 61
E. 84