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Numbers - General Aptitude

Q1:

On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?

A 0

B 3

C 5

D 11

ANS:C - 5

Let x be the number and y be the quotient. Then, x = 357 x y + 39   = (17 x 21 x y) + (17 x 2) + 5   = 17 x (21y + 2) + 5) Required remainder = 5.