The 180 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT

(A) 4
(B) 20
(C) 30
(D) 40
(E) 90

If x < 8, and y < 7, which of the following must be true?

I. 2x + 3y ≤ 32

II. x - y > -1

III. x + 2y < 22

A. I. only

B. III. only

C. II. and III.

D. I. and III.

E. I., II., and III.

­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