# GMAT Hard Math Questions | Algebra

#### Must Solve GMAT Practice Questions | 700 800 Level Questions

Must solve GMAT practice questions in algebra. The following topics are covered in the GMAT quant section from algebra:

2. Exponents
3. Inequalities
4. Absolute Value
5. Functions
1. #### 700 Level GMAT Sample Question in Inequalities & Polynomials

If x is a positive integer such that (x - 1)(x - 3)(x - 5)....(x - 93) < 0, how many values can x take?

1. 47
2. 23
3. 46
4. 21
5. 22

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

Is x3 > x2?

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

3. #### 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

4. #### 700 800 Level GMAT Word Problem | Rates Problem Solving Question

Working alone, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?

1. 120
2. 36,28,800
3. 3840
4. 240
5. 1536

10. #### 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

11. #### 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.

12. #### 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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