Question

A number is multiplied by $5$ and $25$ is added to it. The result is divided by $5$ and the original number is subtracted from the quotient. What will be the remainder?

• A. $19$
• B. $3$
• C. $5$
• D. $28$

Answer 1

Let the number be $x$, its multiplied by $5$ and $25$ added to it.
So, the result is $(5\times x)+25$
The result is divided by $5$, so the quotient is $\frac{(5\times x)+25}{5}$

Then, remainder is $=\frac{(x\times 5)+25}{5}-x$ as $x$ is subtracted from the quotient.
$=\frac{5x+25-5x}{5}$

$=\frac{25}{5}=5$
Hence, the required remainder is $5$.
Therefore, the correct option is C. ($5$)