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Discussion :: Problems on H.C.F and L.C.M

  1. Which least number should be subtracted from 1936 so that the resulting number, when divided by 9, 10, and 15, will leave the same remainder 8 in each case?

    2. A.
    39
    B.
    38
    C.
    37
    D.
    36

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    Answer : Option B

    Explanation :

    Take LCM of 9, 10, and 15. Their LCM is = 90

    If the number 1936 is divided by 90, we get the remainder 46, but we need 8 as remainder.

    Hence, the required number is 46 - 8 = 38.

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