# GMAT 700 800 Level Questions | 31 - 40

1. #### 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

2. #### GMAT Hard Math Arithmetic - Counting Methods | GMAT Problem Solving

What is the sum of all 3-digit positive integers such that all the digits of each of the number is even?

1. 55,500
2. 1300
3. 44,400
4. 247,275
5. 54,400

3. #### 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

4. #### GMAT Hard Math | Geoemtry 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

5. #### GMAT Challenging Math Question | Arithmetic | Number Properties - Remainders

What is the least number that when divided by 44 leaves a remainder 31, when divided by 56 leaves a remainder 43, and when divided by 32 leaves a remainder 19?

1. 2464
2. 2477
3. 2451
4. 616
5. 603

6. #### 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.

7. #### 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.

8. #### GMAT Number Properties Practice | 650 Level Question | Factors Problem Solving

What is the product of all the factors of the cube of a positive integer 'n' if the product of all the factors of square of n is n3?

1. n4
2. n6
3. n9
4. n5
5. Cannot be determined

9. #### GMAT Arithmetic Question | Numbers Counting Methods Problem Solving

How many even 3-digit positive integers with distinct digits are there?

1. 400
2. 320
3. 328
4. 356
5. 408

10. #### GMAT Algebra Practice Question | Equations & Numbers PS

If x and y are non-negative integers such that 4x + 7y = 68, how many values are possible for (x + y)?

1. 11
2. 3
3. 5
4. 17
5. 14

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