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Factor Theorem

A number when...

Question

A number when divided by 296 leaves 75 as remainder, If the same number is divided by 37, the remainder obtained is

A

2

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B

1

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C

11

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D

8

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Solution

The correct option is B 1
Let the number be $y$ .
$y = 296 q + 75$
$= 37 \times 8 \times q + (37 \times 2 + 1)$
$= 37 (8 q + 2) + 1$
$∴ r e m i n d e r = 1$

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