Multiple Choice Questions on The LCM of two numbers is 864 and their HCF is 144 If one of the number is 288 the other n........... for Civil Services Exam (CSAT) Preparation

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Multiple Choice Questions

The LCM of two numbers is 864 and their HCF is 144 If one of the number is 288 the other n...........

Math and Mental Ability LCM, HCF
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    The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is

    432

    Correct Answer

    434

    Incorrect Answer

    440

    Incorrect Answer

    490

    Incorrect Answer
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    Explanation:
    Product of numbers = HCF × LCM
    ⇒ LCM = 864
    HCF = 144
    One number x = 288
    ∴Let other no. be y
    ∴xy = LCM × HCF
    ⇒ 288 × y = 864 × 144
    y = (864 × 144)/288 = 432
    Other no. will be 432
    Hence, option 1 is the correct answer.

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