GMAT Forum 2025, Discuss, Learn And Practice Together

If a and b are real numbers such that the following expression is true.
a^2+5b^2+4ab+3=6b−6

Find the value of a+b?

A. -6
B. -3
C. 0
D. 3
E. 6

The number of ordered pairs of positive integers (x, y) satisfying the equation 7x + 3y = 123 is:

A. 3
B. 5
C. 12
D. 13
E. Infinite

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

(A) -27
(B) -18
(C) 18
(D) 27
(E) 81

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