Question
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
Answer: Option A
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Let x = 296q + 75
= (37 x 8q + 37 x 2) + 1
= 37 (8q + 2) + 1
Thus, when the number is divided by 37, the remainder is 1.
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