When a four digit number is divided by 85 it leaves a remainder of 39. If the same number is divided by 17 the remainder would be?

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Solution

The correct option is B 5
n = 85 K + 39

$N o w \frac{n}{17} = \frac{85 K + 39}{17} = 5 K + \frac{34 + 5}{17}$

$= 5 K + 2 + \frac{5}{17}$

$\Rightarrow$ Remainder is 5.

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