Question
A number when divided by 221 gives a remainder 30. What
will be the remainder when this number is divided by 17?Solution
ATQ,
Let, the number be ‘N’.
ATQ,
N = 221 × k + 30 = 17 × 13 × k + 17 + 13 = 17 × (13 × k + 1) + 13
Since, 17 × (13 × k + 1) is completely divisible by 17
So, if the number is divided by 17, the remainder will be 13.
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