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Playing With Numbers CBSE Class 6

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Video Based Test funda (Please watch the above videos before attempting this assessment)
Question 1/20

Q 1. What is the LCM of 15 and 25? 

Solution

15 = 3 × 5

25 = 5 × 5

LCM (15, 35) = 5 × 3 × 5 = 75 

Q 2. ‘x’ is a number such that x = a × b, where a   b   1, so x is a 

Solution

x = a × b, so x is a composite number. We can’t say whether x is odd or even from the given details. 

Q 3. What is the LCM of 5 and 15? 

Solution

5 = 5 × 1

15 = 3 × 5

LCM (5, 15) = 5 × 3 = 15 

Q 4. What are the common factors of 27 and 42? 

Solution

Factors of 27 = 1, 3, 9, 27 

Factors of 42 = 1, 2, 3, 6, 7, 21, 42

Common factors of 15 and 21 are 1 and 3. 

Q 5. Which of the following is the LCM of 50, 90? 

Solution

  

Q 6. LCM of 22 × 42 and 23 × 42 is

Solution

22 × 42 = 2 × 2 × 4 × 4

23 × 42 = 2 × 2 × 2 × 4 × 4

LCM = 2 × 2 × 4 × 4 × 2 = 128 

Q 7. Express 20 as the product of its prime factors. 

Solution

20 = 2 × 2 × 5 

Q 8. What is the HCF of 7, 14 and 24? 

Solution

  

Q 9. Which of the following pairs are co-prime? 

Solution

16 = 2 × 2 × 2 × 2 × 1

25 = 5 × 5 × 1

16 and 25 have only one common factor. 

Q 10. The prime factorisation of 27 is 

Solution

27 = 3 × 3 × 3 

Q 11. HCF means 

Solution

HCF means highest common factor. 

Q 12. What are the common factors of 20 and 36? 

Solution

Factors of 20 = 1, 2, 4, 5, 10, 20

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Common factors of 20 and 36 are 1, 2 and 4. 

Q 13. Prime numbers are the ones which have 

Solution

Prime numbers are the ones which have only two factors. 

Q 14. The HCF of 6, 72 and 120 is

Solution

6 = 2 × 3

72 = 2 × 2 × 2 × 3 × 3

120 = 2 × 2 × 2 × 3 × 5

HCF (6, 72, 120) = 2 

Q 15. What is the HCF of 12, 36, 48? 

Solution

12 = 2 × 2 × 3

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

HCF (12, 36, 48) = 12 

Q 16. The number 2 is a/an 

Solution

The number 2 is an even prime number. 

Q 17. Adil makes Rs. 10 an hour and Akshay makes Rs. 15 an hour. What is the smallest amount they can receive so that both their earnings match? 

Solution

10 = 2 × 5

15 = 3 × 5

LCM (10, 15) = 5 × 2 × 3 = 30

Rs. 30 is the smallest amount they can receive so that both their earnings match. 

Q 18. Find the prime factorisation of 36 by using the division method. 

Solution

36 = 2 × 2 × 3 × 3 

Q 19. What is LCM? 

Solution

LCM is the product of both common and uncommon factors. 

Q 20. The prime factors of 19 are 

Solution

The prime factors of 19 are 1 and 19. 

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