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CBSE Class 5  >  Class 5 Test  >  Mathematics  >  Test: Factors and Multiples- 1 - Class 5 MCQ

Factors and Multiples- 1 - Class 5 Mathematics Free MCQ Test with solutions


MCQ Practice Test & Solutions: Test: Factors and Multiples- 1 (10 Questions)

You can prepare effectively for Class 5 Mathematics for Class 5 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Factors and Multiples- 1". These 10 questions have been designed by the experts with the latest curriculum of Class 5 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 10

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Test: Factors and Multiples- 1 - Question 1
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Which of the following are two consecutive prime numbers that differ by 2?

Detailed Solution: Question 1

  • Three pairs of prime numbers whose difference is 2 are (5, 7), (11, 13) and (17, 19).
  • A pair of prime numbers whose difference is 2 are called twin primes.
  • The alternative names given to twin primes are prime twin or prime pair.

Test: Factors and Multiples- 1 - Question 2
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Identify the numbers with only 1 as their common factor.

Detailed Solution: Question 2

  • The two numbers which have only 1 as their common factor are called co-primes.
  • For Example: Factors of 5  are 1, 5 Factors of 3 are 1, 3 Common factors is 1. So they are co-prime numbers.

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Test: Factors and Multiples- 1 - Question 3
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Find the smallest whole number that is divisible by 10 and 12.

Detailed Solution: Question 3

  • Multiples of 10: 10, 20, 30, 40, 50, 60, 70,...
  • Multiples of 12: 12, 24, 36, 48, 60, 72,...
  • ∴ The smallest whole number divisible by both 10 and 12 is 60.

Test: Factors and Multiples- 1 - Question 4
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Stamps in an album can be arranged as 12 per page or 18 per page exactly. What is the greatest number of stamps one can have if they are fewer than 500?

Detailed Solution: Question 4

  • Find the least common multiple (LCM) of 12 and 18. Prime factorisation: 12 = 22 × 3 and 18 = 2 × 32, so LCM = 22 × 32 = 36.
  • Any number that can be arranged exactly 12 or 18 per page must be a multiple of 36.
  • Find the largest multiple of 36 less than 500. Divide: 500 ÷ 36 = 13 R 32, so 36 × 13 = 468, while 36 × 14 = 504 > 500.
  • Therefore the greatest possible number of stamps fewer than 500 is 468. (Option A)

Test: Factors and Multiples- 1 - Question 5
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What is the L.C.M. of two co-prime numbers?

Detailed Solution: Question 5

  • Co-prime numbers have no common factor other than1, So, their L.C.M. is their product.

Test: Factors and Multiples- 1 - Question 6
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Find the L.C.M. of 12, 24 and 36.

Detailed Solution: Question 6

To find the L.C.M. (Least Common Multiple) of the numbers 12, 24, and 36, we can follow these steps:

  • List the multiples of each number:
    • Multiples of 12: 12, 24, 36, 48, 60, 72, ...
    • Multiples of 24: 24, 48, 72, 96, ...
    • Multiples of 36: 36, 72, 108, ...
  • Identify the common multiples: The common multiples from the lists above are 72, 108, ...
  • Find the smallest common multiple: The smallest common multiple is 72.

Therefore, the L.C.M. of 12, 24, and 36 is 72.

Test: Factors and Multiples- 1 - Question 7
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Identify an example of prime numbers.

  • 2, 3
  • 4, 6
  • 1, 2
  • 5, 9

Detailed Solution: Question 7

A prime number has exactly two distinct positive divisors: 1 and itself. 2 has divisors 1 and 2; 3 has divisors 1 and 3. Therefore, 2 and 3 are prime numbers.

Test: Factors and Multiples- 1 - Question 8
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What is the H.C.F. of 36 and 144?

Detailed Solution: Question 8

  • Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.
  • Factors of 144 are 1, 2, 3, 4, 6 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.
  • The common factors of 36 and 144 are 1, 2, 3, 4, 6, 9, 12, 18 and 36 of which 36 is the highest.
  • ∴ H.C.F of 36 and 144 is 36.

Test: Factors and Multiples- 1 - Question 9
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What is the H.C.F. of two co-prime numbers?

Detailed Solution: Question 9

  • Co-prime numbers have no common factor other than 1.
  • So, their H.C.F is 1.

Test: Factors and Multiples- 1 - Question 10
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P  is the least common multiple of 45 and 50. What is the value of10P + 100?

Detailed Solution: Question 10

  • L.C.M. of 45 and 50 is 5 × 9 × 10 = 450 = P.
  • ∴ 10P + 100
  • = 450 × 10 + 100
  • = 4500 + 100 = 4600.

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About this Class 5 Practice Test

This test contains 10 MCQs on Factors and Multiples- 1 with detailed solutions for each question. It is part of the Mathematics for Class 5 course on EduRev, designed to align with the current Class 5 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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