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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