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