Multiple Choice Questions on The LCM of two numbers is 90 times their HCF The sum of LCM and HCF is 1456 If one of the numbers is........... for CDS Exam Preparation

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Multiple Choice Questions

The LCM of two numbers is 90 times their HCF The sum of LCM and HCF is 1456 If one of the numbers is...........

Quantitative Aptitude (CDS) LCM, HCF
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    The LCM of two numbers is 90 times their HCF. The sum of LCM and HCF is 1456. If one of the numbers is 160, then what is the other number?

    120

    Incorrect Answer

    136

    Incorrect Answer

    144

    Correct Answer

    184

    Incorrect Answer
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    Explanation:

    Let the HCF of two number = x
    The LCM of two numbers = 90x
    According to question
    LCM + HCF = 1456
    90x + x = 1456
    x = 16
    HCF of two numbers = 16,
    LCM of two number = 1440
    LCM × HCF = 1st numbers × 2nd number
    ⇒ 2nd Number =1440 ×16/160= 144

    By: Munesh Kumari
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