In which of the following example an exclusive "or" is used

Options

A. To enter a country , you need a passport or a , voter registration card
B. The school is closed if it is a holiday or a Sunday
C. Then exists a number which is equal to its square
D. You are wet when it rains or you are in river

Answer

To determine which example uses an exclusive "or," we need to understand the difference between inclusive "or" and exclusive "or."

### Step-by-Step Solution:

1. **Understanding Inclusive "Or":**
- Inclusive "or" means that at least one of the statements can be true, and both can also be true.
- For example, if we say "You can enter a country with a passport or a voter registration card," it means you can enter with just a passport, just a voter registration card, or both.

2. **Understanding Exclusive "Or":**
- Exclusive "or" means that only one of the statements can be true at a time, but not both.
- For example, if we say "You can enter a country with a passport or a voter registration card, but not both," then having both would not allow entry.

3. **Analyzing the Options:**
- **Option 1:** "To enter a country, you need a passport or a voter registration card."
- This is inclusive "or" because having either one or both allows entry.

- **Option 2:** "The school is closed if it is a holiday or a Sunday."
- This is also inclusive "or" since the school can be closed on either day or both.

- **Option 3:** "There exists a number which is equal to its square."
- This is an exclusive "or" because the only number that satisfies this condition is 1 (1 = 1²). No other number can satisfy this condition simultaneously.

- **Option 4:** "You are wet when it rains or you are in a river."
- This is inclusive "or" because you can be wet from either or both situations.

4. **Conclusion:**
- The example that uses an exclusive "or" is **Option 3:** "There exists a number which is equal to its square."