Question
A number when divided by 187 leaves a remainder of 28. What
is the remainder when the same number is divided by 11?Solution
ATQ,
Let, the number be ‘N’.
ATQ,
N = 187 × k + 28 = 11 × 17 × k + 11 + 17 = 11 × (17 × k + 1) + 17
Since, 11 × (17 × k + 1) is completely divisible by 11
So, if the number is divided by 11, the remainder will be 17.
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