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Divisibility Tests for 6

On dividing ...

Question

On dividing $2272$ as well as $875$ by 3-digit number N, we get the same remainder. The sum of the digits of N is:

A

10

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B

11

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C

12

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D

13

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Solution

The correct option is A $10$
Clearly, $(2272 - 875)$ $=$ $1397$ , is exactly divisible by N.
Now, $1397$ $= 11 \times 127$
$∴$ The required $3$ -digit number is $127$ , the sum of whose digits is $10.$

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