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Question

A number when divided by 296 ;eaves 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

Le `x`  = 296q + 7 5 = (37 x 8q + 37 x 2) + 1

                                = 47 x (8q + 2) +1

Thus , when the number is divided by 37. the remainder is 1.



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