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    3. Quantitative Aptitude
    4. HCF and LCM
    5. The sum of HCF and LCM of two numbers is 450. If the LCM is 14 times the HCF, and one number is 42,

    Question

    The sum of HCF and LCM of two numbers is 450. If the LCM

    is 14 times the HCF, and one number is 42, what is the second number?
    A 100 Correct Answer Incorrect Answer
    B 260 Correct Answer Incorrect Answer
    C 300 Correct Answer Incorrect Answer
    D 350 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let HCF = x

    LCM = 14x

    x + 14x = 450

    ⇒ 15x = 450

    ⇒ x = 30

    Now,

    42 × y = 30 × 14 × 30

    ⇒ 42y = 12600

    ⇒ y = 12600 ÷ 42 = 300

    Practice Next
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