In a division sum, the divisor is 5 times the quotient and twice the remainder. If the remainder is 5, what is the number ?

The correct answer is Option 25.

To find the dividend (the number), we can use the fundamental division relation:

$\text{Dividend}=(\text{Divisor}\times \text{Quotient})+\text{Remainder}$

Let us identify each term given in the problem statement:

1. The remainder is given as 5.
$\text{Remainder}=5$

2. The divisor is twice the remainder.
$\text{Divisor}=2\times \text{Remainder}=2\times 5=10$

3. The divisor is also 5 times the quotient.
$\text{Divisor}=5\times \text{Quotient}$
$10=5\times \text{Quotient}$
$\text{Quotient}=\frac{10}{5}=2$

Now, we substitute the values of the divisor, quotient, and remainder into the division formula to calculate the number (dividend):

$\text{Dividend}=(10\times 2)+5$
$\text{Dividend}=20+5=25$

Therefore, the required number is 25.