GMAT Focus Practice Questions — All Questions

The sum of three consecutive even integers is 48. What is the largest of the three?

• a.14
• b.16
• c.17
• d.18✓

Let the integers be n, n+2, n+4. Their sum is 3n + 6 = 48, so 3n = 42 and n = 14. The three integers are 14, 16, 18; the largest is 18.

What is the remainder when 4 cubed is divided by 5?

• a.1
• b.2
• c.4✓
• d.0

4 cubed = 64. Dividing by 5: 5 x 12 = 60, leaving 64 - 60 = 4. The remainder is 4.

If n is a positive integer and 2n is divisible by 6, which of the following must be true?

• a.n is a multiple of 3✓
• b.n is even
• c.n is a multiple of 6
• d.n is prime

2n divisible by 6 means 2n = 6k, so n = 3k for some integer k. Therefore n must be a multiple of 3. It need not be even (n could be 3) or a multiple of 6 (n could be 3).

What is the greatest common factor of 24 and 36?

• a.6
• b.12✓
• c.18
• d.24

24 = 2 x 2 x 2 x 3 and 36 = 2 x 2 x 3 x 3. The shared prime factors are 2 x 2 x 3 = 12. The greatest common factor is 12.