A number when divided by 357, leaves a remainder 39

A number when divided by 357, leaves a remainder 39. If the same number is divided by 17, the remainder will be
(a) 0
(b) 3
(c) 5
(d) 11

Anurag Mishra Professor Asked on 2nd April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (c) 5

    Solution:-
    Let the number be X.

    Number divide by 357, leaves a remainder 39.
    Then, X/357 + 39 = X
    X – X/357 = 39
    (357 X – X)/357 = 39
    356 X = 39 x 357
    X = 39 x 357/356
    X = 39 (Approximately)

    39 divide by 17 then remainder will be 5.

    Hence, the correct answer is option (c) 5.

    Anurag Mishra Professor Answered on 2nd April 2016.
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