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Test: Factors and Multiples- 1


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10 Questions MCQ Test Mathematics for Class 5 | Test: Factors and Multiples- 1

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Test: Factors and Multiples- 1 - Question 1

Which of the following are two consecutive prime numbers that differ by 2?

Detailed Solution for Test: Factors and Multiples- 1 - 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

Identify the numbers with only 1 as their common factor.

Detailed Solution for Test: Factors and Multiples- 1 - 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.
Test: Factors and Multiples- 1 - Question 3

Find the smallest whole number that is divisible by 10 and 12.

Detailed Solution for Test: Factors and Multiples- 1 - 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

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 for Test: Factors and Multiples- 1 - Question 4

L.C.M. of 12 and 18 is 36.
∴ The required number of stamps is the largest multiple of 36, less than 500.
500 ÷ 36 = 13 R 32 as 36 × 13 = 468 and 36 × 14 = 504.
Thus, the required number of stamps = 468.

Test: Factors and Multiples- 1 - Question 5

What is the L.C.M. of two co-prime numbers?

Detailed Solution for Test: Factors and Multiples- 1 - 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

A  Find the L.C.M. of 12, 24 and 36.

Detailed Solution for Test: Factors and Multiples- 1 - Question 6

12 = 2 × 2 × 3
24 = 2 × 2 × 2 × 3
36 = 2 × 2 × 3 × 3
L.C.M. of 12, 24 and 36  = 2 × 2 × 3 × 2 × 3 = 72.

Test: Factors and Multiples- 1 - Question 7

Identify an example for twin primes.

Detailed Solution for Test: Factors and Multiples- 1 - Question 7

The prime numbers that differ by 2 are called twin primes. e.g., 3, 5 as both 3 and 5 are prime numbers and their difference is 2.

Test: Factors and Multiples- 1 - Question 8

What is the H.C.F. of 36 and 144?

Detailed Solution for Test: Factors and Multiples- 1 - 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

What is the H.C.F. of two co-prime numbers?

Detailed Solution for Test: Factors and Multiples- 1 - 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

______ is the least common multiple of 45 and 50. What is the value of10P + 100?

Detailed Solution for Test: Factors and Multiples- 1 - 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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