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Numbers - General Aptitude

Q1:

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

A 1

B 2

C 8

D 11

ANS:A - 1

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.