Multiple Choice Questions on The LCM of two numbers is 40 times their HCF The sum of the LCM and HCF is 1 476 If one of the numbe........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The LCM of two numbers is 40 times their HCF The sum of the LCM and HCF is 1 476 If one of the numbe...........

Quantitative Aptitude ( CCS) LCM, HCF
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    The LCM of two numbers is 40 times their HCF. The sum of the LCM and HCF is 1,476. If one of the numbers is 288, find the other numbers?

    169

    Incorrect Answer

    180

    Correct Answer

    240

    Incorrect Answer

    260

    Incorrect Answer
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    Explanation:

    Given, L.C.M = 40 H.C.F
    l = 40 h
    And,
    l + h = 1476
    41h = 1476 ⇒ h = 36
    We know,
    L.C.M × H.C.F = I no. × II no.
    40h × h = 288 × x
    40 × 36 × 36 = 288 × x
    x = 180
    Thus, the other no. 180

    By: Amit Kumar
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