# GMAT Hard Math Questions | 11 to 20

1. #### GMAT 700 Level Sample Question in Statistics

Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true?

I. The maximum possible range of the set is greater than 33.
II. The median can never be an even number.
III. If y = 37, the average of the set will be greater than the median.

1. I only
2. I and II only
3. I and III only
4. III only
5. I, II, and III

2. #### GMAT Hard Math Algebra - Absolute Values | GMAT Problem Solving

If x and y are integers and |x - y| = 12, what is the minimum possible value of xy?

1. -12
2. -18
3. -24
4. -36
5. -48

3. #### GMAT Challenging Question | Statistics Problem Solving

Three positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?

1. 23
2. 21
3. 25
4. 26
5. 24

4. #### GMAT Hard Math | Arithmetic | Permutation Combination Sample Question

How many four-digit positive integers exist that contain the block 25 and are divisible by 75. (2250 and 2025 are two such numbers)?

1. 90
2. 63
3. 34
4. 87
5. 62

5. #### GMAT Challenging Math Question | Arithmetic | Number Properties DS Practice

Is |x| > x?

Statement 1: x2 + y2 = 4
Statement 2: x3 + y2 = 0

1. 5
2. 2
3. 9
4. 3
5. 7

10. #### GMAT Hard Math Questions | Arithmetic | Number Properties DS

x is a two-digit positive integer. y is obtained by multiplying the tens place of x by 2. Is y > $$frac{x}{6}$? Statement 1: 20 < x < 30 Statement 2: y = 10 #### GMAT Online CourseTry it free! Register in 2 easy steps and Start learning in 5 minutes! #### Already have an Account? #### GMAT Live Online Classes Next Batch Apr 27, 2024 Work @ Wizako ##### How to reach Wizako? Mobile:$91) 95000 48484
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