Question

In a division sum, we have Dividend$=199$, Quotient$=16$ and Remainder$=7$. The divisor is

• A. $11$
• B. $12$
• C. $23$
• D. None of these.

Answer 1

The correct option is B

$12$

Calculate the Divisor of the given division

It is given that, Dividend$=199$.

Quotient$=16$.

Remainder$=7$.

It is known that, $\text{Dividend = Divisor × Quotient + Remainder}$

$\Rightarrow \mathrm{Divisor}=\frac{\left(\mathrm{Dividend}\right)-\left(\mathrm{Remainder}\right)}{\left(\mathrm{Quotient}\right)}$.

$$\begin{gathered} =\frac{199-7}{16} \\ =\frac{192}{16} \\ =12 \end{gathered}$$

Therefore, the divisor is $12$.

Hence, the correct option is (B).