Home » Aptitude » LCM and HCF » Question
  1. The sum of two numbers is 84 and their HCF is 12. Total number of such pairs of number is
    1. 2
    2. 3
    3. 4
    4. 5
Correct Option: B

Given , HCF = 12
∴ Numbers = 12p and 12q , where p and q are prime to each other.
∴ 12p + 12q = 84
⇒ 12 (p + q) = 84

⇒ p + q =
84
= 7
12

∴ Possible pairs of numbers satisfying this condition = (1 , 6), (2 , 5) and (3 , 4).
Hence three pairs are of required numbers.



Your comments will be displayed only after manual approval.