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GMAT Number Properties — practice questions

Explore 10 free Number Properties questions in GMAT Quantitative Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Number Properties questions and exercises with answers

Showing questions 1–10 of 10.

If x and y are positive integers with x + y = 12 and xy maximised, then xy =Read the answer and worked solution →The product of two consecutive positive integers is 156. The smaller integer is:Read the answer and worked solution →The remainder when 7^100 is divided by 5 is:Read the answer and worked solution →If x is divisible by 6 and 8, what must also divide x?Read the answer and worked solution →What is the units digit of 7^25?Read the answer and worked solution →How many positive divisors does 60 have?Read the answer and worked solution →Largest prime factor of 91 is:Read the answer and worked solution →If n is even and 3 < n < 9, what is n?Read the answer and worked solution →The remainder when 2^10 is divided by 7 is:Read the answer and worked solution →A number x is between −5 and 5. |x| is at most:Read the answer and worked solution →

Worked practice questions

If x and y are positive integers with x + y = 12 and xy maximised, then xy =

  1. 27
  2. 32
  3. 35
  4. 36
  5. 45
Show answer and solution

Correct answer: D. 36

1. Identify what is being asked: this is a **Number Properties** question. 2. Apply the standard approach for this question type to evaluate each option. 3. The correct answer is **D. 36** — it satisfies the conditions of the stem. _Source: GMAC Official 12 Sample Questions (mba.com)_

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The product of two consecutive positive integers is 156. The smaller integer is:

  1. 10
  2. 11
  3. 12
  4. 13
  5. 14
Show answer and solution

Correct answer: C. 12

1. Identify what is being asked: this is a **Number Properties** question. 2. Apply the standard approach for this question type to evaluate each option. 3. The correct answer is **C. 12** — it satisfies the conditions of the stem. _Source: GMAC Official 12 Sample Questions (mba.com)_

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The remainder when 7^100 is divided by 5 is:

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4
Show answer and solution

Correct answer: B. 1

1. Identify what is being asked: this is a **Number Properties** question. 2. Apply the standard approach for this question type to evaluate each option. 3. The correct answer is **B. 1** — it satisfies the conditions of the stem. _Source: GMAC Official 12 Sample Questions (mba.com)_

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How to practise

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More Quantitative Reasoning topics

Modern MathematicsQuantitative ReasoningAlgebraPermutations and CombinationsLogical ReasoningQuantitative AptitudeAverages and MixturesSimple and Compound Interest