Numbers - General Aptitude

Q1:

On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?

A 4

B 5

C 6

D 7

ANS:B - 5

Formula: (Divisor*Quotient) + Remainder = Dividend. Soln: (56*Q)+29 = D -------(1) D%8 = R -------------(2) From equation(2), ((56*Q)+29)%8 = R. => Assume Q = 1. => (56+29)%8 = R. => 85%8 = R => 5 = R.