Question

In a division problem, the number is 1261, the divisor is half of quotient, the remainder is 11. Then the divisor is ___ .

• A. 50
• B. 25
• C. 11
• D. 100

Answer 1

Answer: (B)

25

Let the quotient be $x$. Then divisor will be $\frac{x}{2}.$

Remainder $=11.$

Dividend $=1261$

Dividend $=$ $($ Divisor $\times$ Quotient $)$ $+$ Remainder

$\Rightarrow$ $1261=(\frac{x}{2}\times x)+11$

$\Rightarrow$ $1261=\frac{x^2}{2}+11$

$\Rightarrow$ $1261=\frac{x^2+22}{2}$

$\Rightarrow$ $2522=x^2+22$

$\Rightarrow$ $x^2=2500$

$\therefore$ $x=50$

$\Rightarrow$ Divisor $=\frac{x}{2}=\frac{50}{2}=25$