Practice Test Discussion

Q)

HCF of two numbers each of 4 digits is 103 and their LCM is 19261. Sum of the numbers is

[New India Insurance (AAO), 2011]


  • Explanation

    Here, HCF of two 4-digits numbers=103

    ∴ Let the numbers be 103a and 103b

    And LCM of 103a and 103b=19261

    or  103(a×b)=19261

    ⇒ a×b=187

    or a=11 or 17 and b=11 or 17

    ∴ Numbers =103×11=1133

    = 103×17=1751

    ∴ Sum of these two numbers =2884.

    Hence, Option A is correct.

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