Multiple Choice Questions on The HCF of two numbers is 98 and their LCM is 2352 The sum of the numbers may be ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

The HCF of two numbers is 98 and their LCM is 2352 The sum of the numbers may be ........

Quant (SSC) LCM, HCF
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    The HCF of two numbers is 98 and their LCM is 2352. The sum of the numbers may be

    1078

    Correct Answer

    1398

    Incorrect Answer

    1426

    Incorrect Answer

    1484

    Incorrect Answer
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    Explanation:
    Let two numbers are 98x and 98y. Then,
    Product of number = Product of HCF and LCM
    98x × 98y = 98 × 2352
    xy = 24
    Let x = 8 and y = 3
    (As Co-prime factors of 24 be 8 and 3)
    Then, Sum of number = 98 × 8 + 98 × 3 = 98 (11) = 1078

    By: Amit Kumar
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