GMAT Forum 2025, Discuss, Learn And Practice Together

The integers a, b, and c are positive, a/b = 5/2, and a/c = 7/5. What is the smallest possible value of 2a + b?

A. 63
B. 70
C. 84
D. 95
E. 105

Two numbers are in the ratio of 2:3. If 4 is added to both numbers, the ratio becomes 5:7. Find the difference between the numbers.

A. 8
B. 6
C. 4
D. 2
E. 10

If A and B are positive integers and 5A -7(B + 3) = 2, what is the least possible value of A-B?

(A) 1
(B) 3
(C) 5
(D) 7
(E) 9

If a and p are positive integers and a + p < 7, how many different values of the product ap are possible?

A. 8
B. 10
C. 12
D. 14
E. 16

Abigail used to save 40% of her salary in 2013. Her salary increased by 100% in 2014 and by 50% in 2015, but her expenses remained the same throughout. What was the percentage increase in her annual savings over the two years?

A. 200%
B. 240%
C. 300%
D. 500%
E. 600%

A, B and C complete a particular work in 80 days when A and C worked on all 80 days, whereas B worked on every alternate day. A and B can together complete the work in 90 days and A and C in 120 days. In how many days would C alone take to complete the work?

A. 90
B. 150
C. 160
D. 180
E. 360

Solution A is 20% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?

A. 6:4
B. 6:14
C. 4:4
D. 4:6
E. 3:7

If x > y > z, which of the following can be true?

I. x / y > y /z

II. z / x > y /x

III. z /y > x/ y

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

How many positive three-digit integers are not divisible by 3 ?

A. 599
B. 600
C. 601
D. 602
E. 603

The sum of seven consecutive integers is equal to 7. What is the average of the greatest and least terms in the sequence?

(A) 7
(B) 4
(C) 2
(D) 1
(E) -2