Question

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

Options:
A .  4
B .  5
C .  6
D .  7
Answer: Option B

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.


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