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.

Step-by-Step Explanation:

We are given the following relationships in a division problem:

1. Divisor = 5 × Quotient

2. Divisor = 2 × Remainder

3. Remainder = 5

Step 1: Find the Divisor
Using the relationship between the divisor and the remainder:
Divisor = 2 × Remainder
Divisor = 2 × 5 = 10

Step 2: Find the Quotient
Using the relationship between the divisor and the quotient:
Divisor = 5 × Quotient
10 = 5 × Quotient
Quotient = 10 / 5 = 2

Step 3: Find the Dividend (the number)
The standard division formula states:
Dividend = (Divisor × Quotient) + Remainder

Substituting the values into the formula:
Dividend = (10 × 2) + 5
Dividend = 20 + 5 = 25

Therefore, the required number is 25.