Quantitative Aptitude Ques 82

Question: The LCM of two numbers is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then the other is

Options:

A) 120

B) 124

C) 116

D) 112

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let HCF be x and LCM be 12x. According to the question, $ 12x+x=403 $
    $ \Rightarrow $ $ x=31 $

$ \therefore $ LCM $ 12\times 31 $ and HCF=31 Let the other number be a.

$ \therefore $ $ 93\times a=12\times 31\times 31 $
$ \Rightarrow $ $ a=124 $

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