A number when divided by $136$ , leaves $36$ as remainder. If the same number is divided by $17$ , what will be the remainder?

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Solution

The correct option is C $2$
Given number $= 136 K + 36 = 17 \times 8 \times K + (17 \times 2 + 2)$
$= 17 (8 K + 2) + 2$
$∴$ Required remainder $= 2$

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