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. $3$
• C. $5$
• D. None of these

Answer 1

The correct option is C $5$

$\Rightarrow$ We know, $Dividend=(Divisor\times Quotient)+Remainder$

$\Rightarrow$ $(56\times Q)+29=D$ ------ ( 1 )

$\Rightarrow$ $D÷R=R$ ------ ( 2 )

$\Rightarrow$ $\left(\right(56\times Q)+29)÷8=R$ [ Substituting ( 1 ) in ( 2 ) ]

Since $56$ is alredy divisible by $8$

$\Rightarrow$ $29÷8=R$

$\Rightarrow$ $85÷8$

$\therefore$ $R=5$

$\therefore$ Required remainder is $5$.