GMAT Forum 2025, Discuss, Learn And Practice Together

The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?

(A) 5
(B) 8
(C) 10
(D) 12
(E) 15

If -4 is one solution to the equation x^2 + bx + c = 0, where b and c are constants, and b + c = -21, what is the other solution?

A) -5

B) -1

C) 5

D) 7

E) 10

If |x + 3| = 12 and |y +2| = 9, the maximum value of xy =

A 63
B 84
C 99
D 132
E 165

If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ?

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

f(x) has the properties, f(x+y)=x+f(y) and f(0)=5. What is the value of f(100)?
?

A. 95
B. 100
C. 105
D. 120
E. 135

If a=7 and b=−7, what is the value of 2a−2b+b^2?

(A) -49
(B) 21
(C) 49
(D) 63
(E) 77

If x and y are positive integers such that x+y=750, what is the difference between the maximum and minimum possible value of HCF(x,y)?

(A) 750
(B) 375
(C) 374
(D) 373
(E) 148

If x^4 + y^4 = 100, then the greatest possible value of x is between

A. 0 and 3
B. 3 and 6
C. 6 and 9
D. 9 and 12
E. 12 and 15

If the average (arithmetic mean) of x, y, and z is 7x and x ≠ 0, what is the ratio of x to the sum of y and z?

(A) 1:21
(B) 1:20
(C) 1:6
(D) 6:1
(E) 20:1

If x+y =−3 And x^2+y^2=12, what is the value of 2xy?

A. -6
B. -3
C. -1
D. 0
E. 3