# GMAT Hard Math Questions | Data Sufficiency

1. #### GMAT Hard Math Data Sufficiency Question

Is x3 > x2

Statement 1: x > 0
Statement 2: x < 1

2. #### GMAT Data Sufficiency Question | Inequalities & Exponents

If m and n are non-zero integers, is mn > nn?

Statement 1: |m| = n
Statement 2: m < n

3. #### GMAT Hard Math Question | Number Properties DS Practice

What is the remainder when the positive integer x is divided by 6?

Statement 1: When x is divided by 7, the remainder is 5.
Statement 2: When x is divided by 9, the remainder is 3.

4. #### GMAT DS Sample Question | Percentage | Ratios | Word Problem

A candy manufacturer decided to decrease the weight of each candy bar, while retaining the price. By how many cents did the per kilogram cost of candy change after the reduction in weight?

Statement 1: The weight of each piece of candy bar reduced by 9 grams.
Statement 2: The weight of each piece of candy bar reduced by 9%

5. #### GMAT Data Sufficiency | Hard Math Question | Geometry

a, b, and c are sides of a right triangle. What is the area of the triangle?

Statement 1: a = 4.
Statement 2: a + b + c = 4.

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

Is |x| > x?

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

7. #### GMAT DS Sample Question | Geometry | Triangles

Is the triangle ABC right angled at B an isosceles triangle?

Statement 1: All 3 sides are integers.
Statement 2: The square of the hypotenuse is twice the product of the other two sides.

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 9. #### Geometry | Coordinate Geometry DS Practice | GMAT Challenging Math Question Does the line L whose equation is y = mx + c cut the x-axis in the positive direction of x-axis? Statement 1: The intercepts of Line K, perpendicular to L, are of the opposite signs. Statement 2: Line L passes through the 4th quadrant. 10. #### GMAT Data Sufficiency | Challenging Number Properties & Inequalities Question Is x |x| = x2? Statement 1: x$1 – x2) < 0
Statement 2: x(1 – x) < 0

11. #### GMAT DS Sample Question | Statistics | Mean Median Range

What is the range of 5 distinct single digit positive integers if their average is 5?

Statement 1: Their median is 6.
Statement 2: The average of the 3 largest among the 5 numbers is 7.

12. #### GMAT Challenging Question | Arithmetic | Numbers & Progressions DS

What is the range of 3 positive integers a, b, and c?

Statement 1: 21a = 9b = 7c
Statement 2: a + 8, b, and c, in that order are in AP.

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

Is the twelve-digit positive integer a perfect square?

Statement 1: The number comprises only the digits 0, 1, and 2, each written four times.
Statement 2: The sum of the digits of the twelve-digit number is 12.

14. #### GMAT 650 Level Sample Question | Arithmetic DS | Number Properties

If a and b are positive integers, is (a + b) prime?

Statement 1: 13a = 43b
Statement 2: 8a = 15b

15. #### GMAT Challenging Question | Geometry DS | Coordinate Geometry & Quadratic Equations

If y = (x - p)(x - q), is the sum of integers p and q positive?

Statement 1: The curve cuts the y-axis at -20
Statement 2: Minimum value of y is -36

16. #### GMAT Hard Math | Geometry Right Triangles | GMAT 750 Level Data Sufficiency

In right triangle ABC, what is the ratio in which point D divides the hypotenuse AC? BD is perpendicular to AC.

Statement 1: BC = 2BD
Statement 2: AC = 2AB

17. #### GMAT Data Sufficiency | Number Properties

What is the value of (m + n) if m and n are positive integers?

Statement 1: m2 – n2 = 105
Statement 2: Neither m nor n is divisible by 8.

18. #### GMAT DS Sample Question | Arithmetic - Statistics | Mean, Median, and Range

If sets A and B have n elements each, are the ranges of the two sets equal?

Statement 1: Both sets are symmetric about their respective means.
Statement 2: The median of both the sets is 50.

19. #### GMAT 650 Level Sample Question | Arithmetic DS | Number Properties

If a, b, and c are non-zero numbers, how many of these three numbers are positive numbers?

Statement 1: a + b + c > 0
Statement 2: The number of negative numbers is more than the number of positive numbers among these three numbers.

20. #### GMAT Hard Math Arithmetic Data Sufficiency | Number Properties

Is ‘x’ even?

Statement 1: $$frac{x^3}{2}$ is even. Statement 2: 2$\sqrt[3]{x}$ is even. #### 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 Aug 10, 2024 Work @ Wizako ##### How to reach Wizako? Mobile:$91) 95000 48484
WhatsApp: WhatsApp Now
Email: [email protected]