Multiple Choice Questions on The LCM of two numbers is 12 times their HCF The sum of HCF and LCM is 403 If one of the numbers is ........... for CDS Exam Preparation

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Multiple Choice Questions

The LCM of two numbers is 12 times their HCF The sum of HCF and LCM is 403 If one of the numbers is ...........

Quantitative Aptitude (CDS) LCM, HCF
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    The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one of the numbers is 93, then the other number is

    124

    Correct Answer

    128

    Incorrect Answer

    134

    Incorrect Answer

    138

    Incorrect Answer
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    Explanation:

    LCM = 12HCF (Given)
    Also, HCF + LCM = 403
    ⇒ HCF + 12HCF = 403
    ⇒ 13HCF = 403
    ⇒ HCF = 31
    Now, 93 × Other number = HCF × LCM
    ⇒ Other number=31×12×31/93 =124

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