Quantitative Aptitude Ques 1508

Question: The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively

Options:

A) (12, 24)

B) (24, 12)

C) (24, 36)

D) (36, 24)

Show Answer

Answer:

Correct Answer: D

Solution:

  • (d) Given, HCF of $ a $ and $ b=12 $ Let the numbers be $ 12x $ and $ 12y, $ where x and y are coprime. But given $ a>b>12 $
    $ \therefore $ $ a=36 $ and $ b=24 $