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Question

A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:


Options:
A .  1
B .  2
C .  8
D .  11
Answer: Option A

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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