Rajan remembers that Roshan was born after `15^(th)` March and before `20^(th)` March. But his father remembers that Roshan was born after `18^(th)` March and before `24^(th)` March. What is the date of birth of Roshan?

Options

A. `18^(th)` March
B. `19^(th)` March
C. `20^(th)` March
D. None of these

Answer

To find the date of birth of Roshan, we need to analyze the information given by both Ranjan and his father.

1. **Ranjan's Information**:
- Roshan was born after 15th March and before 20th March.
- This means the possible dates according to Ranjan are:
- 16th March
- 17th March
- 18th March
- 19th March

2. **Father's Information**:
- Roshan was born after 18th March and before 24th March.
- This means the possible dates according to his father are:
- 19th March
- 20th March
- 21st March
- 22nd March
- 23rd March

3. **Finding the Common Date**:
- Now, we need to find the common date between the two sets of possible dates.
- Ranjan's possible dates: 16th March, 17th March, 18th March, 19th March
- Father's possible dates: 19th March, 20th March, 21st March, 22nd March, 23rd March

4. **Common Date**:
- The only date that appears in both lists is **19th March**.

Thus, the date of birth of Roshan is **19th March**.