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A number divided by 296 leaves a remainder of 75, if the same number is divided by 37 then remainder obtained is

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2

1

11

8

answer is B.

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Detailed Solution

Concept: Write given information in equation form by assuming the number to be x. A number leaves a remainder of 75 on dividing by 296 that means the number is 75 more than multiple of 296.
Here,
let number be y.

y = 296 q + 75

= 37 \times 8 \times q + (37 \times 2 + 1)

= 37 (8 q + 2) + 1

remainder = 1

Hence, the correct answer is option (2) .

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