GMAT Forum 2025, Discuss, Learn And Practice Together

How many litres of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion?

A. 1.0 litres

B. 1.5 litres

C. 2.0 litres

D. 4.0 litres

E. 4.0 litres

If |x + 1| = 2|x - 1|, what is the sum of the roots?

A. 4
B. 6
C. 8
D. 20/3
E. 10/3

If 6x - 15y = 33, and 6y - x = -18, what is the sum of x and y?

(A) -7
(B) -5
(C) 2
(D) 5
(E) 12

What is the range of all the roots of |x^2 - 2| = x ?

A. 4
B. 3
C. 2
D. 1
E. 0

If x^2 = 2x + 1, what is the value of x^3 ？

A. 4x
B. 5x + 2
C. 5x - 1
D. 3x + 2
E. 3x - 2

If m and p are positive integers and m^2+p^2<100, what is the greatest possible value of mp ?

A. 36
B. 42
C. 48
D. 49
E. 51

A trader mixes two varieties of tea costing $40 per kg and $50 per kg in the ratio 5:4. If the mixture is then sold at $48 per kg, what is the profit made by the trader?

A. 5%
B. 7.5%
C. 8%
D. 10%
E. 12%

On a certain math exam, 10% of the students got 70 points, 25% got 80 points, 20% got 85 points, 15% got 90 points, and the rest got 95 points. What is the difference between the mean and the median score on this exam?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

If the solutions to the expression x^2+px+32=0
,are m and n, where m, n and p are integers. What is the absolute maximum difference between m and n?

A. 29
B. 30
C. 31
D. 32
E. 33

A palindrome is a number that reads the same forward and backward. For example. 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits, 1, 2, 3, how many such palindromes are possible?

A) 12
B) 15
C) 18
D) 24
E) 27