GMAT Number Properties: Practice Questions with Solutions

GMAT Number Properties Practice Questions help you understand integers, factors, multiples, prime numbers, odd and even numbers, and divisibility. These concepts are important for building a strong foundation in GMAT Quantitative Reasoning. Practising GMAT Number Properties Practice Questions with solutions can help you recognise patterns, avoid common mistakes and improve your problem-solving approach.

Whether you are beginning your preparation or revising advanced concepts, these GMAT Number Properties Practice Questions will help you test your understanding through examples and step-by-step solutions.

Why Practise GMAT Number Properties Practice Questions?

GMAT Number Properties Practice Questions test how well you understand the characteristics of numbers and apply mathematical rules. Instead of relying on lengthy calculations, many questions reward logical reasoning and efficient methods.

Regular practice helps you understand divisibility, prime factorisation, remainders, positive and negative integers, and the properties of odd and even numbers. Reviewing solutions is equally important because it helps you understand the reasoning behind each answer.

GMAT Number Properties Practice Questions with Solutions

Try the following GMAT Number Properties Practice Questions before reading their solutions.

Question 1: Odd and Even Numbers

If (n) is an odd integer, which of the following must be even?

A. (n+2)

B. (n^2)

C. (n(n+1))

D. (n+4)

Solution: The correct answer is C.

If (n) is odd, (n+1) is even. The product of an odd integer and an even integer is always even. Therefore, (n(n+1)) must be even.

GMAT tip: Remember the basic properties of odd and even numbers when solving GMAT Number Properties Practice Questions.

Question 2: Divisibility

If an integer (x) is divisible by both 6 and 8, what is the smallest positive possible value of (x)?

A. 12

B. 18

C. 24

D. 48

Solution: The correct answer is C.

The smallest positive integer divisible by both 6 and 8 is their least common multiple (LCM).

(6=2\times3)

(8=2^3)

Therefore, (\text{LCM}=2^3\times3=24).

Question 3: Prime Numbers

Which of the following is a prime number?

A. 21

B. 27

C. 31

D. 39

Solution: The correct answer is C.

The number 31 has exactly two positive factors: 1 and 31. The other options are divisible by 3 or 7. Therefore, 31 is prime.

Question 4: Factors and Multiples

If (n) is a positive integer divisible by both 4 and 10, which of the following must (n) be divisible by?

A. 20

B. 30

C. 40

D. 60

Solution: The correct answer is A.

The least common multiple of 4 and 10 is 20. Therefore, every positive integer divisible by both 4 and 10 must also be divisible by 20. This GMAT Number Properties Practice Question tests your understanding of common multiples.

Question 5: Remainders

When a positive integer (n) is divided by 5, the remainder is 3. What is the remainder when (n+2) is divided by 5?

A. 0

B. 1

C. 3

D. 4

Solution: The correct answer is A.

Since (n) leaves a remainder of 3, adding 2 gives a number divisible by 5. Therefore, the remainder is 0. Practising GMAT Number Properties Practice Questions involving remainders helps you recognise these patterns quickly.

How to Improve with GMAT Number Properties Practice Questions

To get more from GMAT Number Properties Practice Questions, focus on understanding the rules behind each problem rather than memorising answers.

• Review number properties: Revise factors, multiples, prime numbers and divisibility rules.
• Practise systematically: Solve questions of increasing difficulty.
• Analyse mistakes: Identify whether an error came from a concept, calculation or misinterpretation.
• Use efficient methods: Look for patterns and shortcuts before performing lengthy calculations.
• Practise under time limits: Build accuracy while learning to manage exam time.

For official exam information and preparation resources, visit the GMAT exam website.

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Frequently Asked Questions

How can GMAT Number Properties Practice Questions improve preparation?

GMAT Number Properties Practice Questions help you strengthen conceptual understanding, recognise number patterns and apply mathematical rules efficiently.

Which topics should I practise first?

Begin with integers, odd and even numbers, prime numbers, factors, multiples and divisibility. Then progress to more challenging number-property problems.

Should I practise GMAT Number Properties Practice Questions daily?

Regular practice is useful. Set aside time to solve questions, review solutions and revisit concepts you find difficult.

Start Your GMAT Quant Preparation with QDS Pro

Consistent practice with GMAT Number Properties Practice Questions can help you build confidence and strengthen your Quantitative Reasoning foundation. Combine concept revision, timed exercises and solution analysis to make your preparation more effective.

Contact QDS Pro to discuss your GMAT preparation needs and find a suitable coaching option.