#
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

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

**
**