Answer question no. 11 with explanation.
Q.11. Mohit is thinking of two numbers. Their greatest common factor is 6. Their least common multiple is 36. One of the numbers is 12. What is the other number?
(A) 18
(B) 16
(C) 6
(D) 24
Let the unknown no. be x
Given that the other no. is 12
Given
HCF = 6
LCM = 36
We know that
Product of numbers = HCF × LCM
⇒ 12 × x = 6× 36
⇒ 12x = 216
⇒ x = 216/12
⇒ x = 18
∴ The other number is 18
Given that the other no. is 12
Given
HCF = 6
LCM = 36
We know that
Product of numbers = HCF × LCM
⇒ 12 × x = 6× 36
⇒ 12x = 216
⇒ x = 216/12
⇒ x = 18
∴ The other number is 18