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

Question: 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

Answer: Option B

Explanation:

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.