Which of the following is a statement?

Options

A. Shut the door.
B. What are you doing here?
C. Good evenirig, Sir.
D. Chennai is the capital of·Tamil Nadu

Answer

To determine which of the given options is a statement, we first need to understand what constitutes a statement in mathematical reasoning. A statement is a declarative sentence that can be classified as either true or false, but not both.

Let's analyze each option step by step:

1. **Option 1: "Shut the door."**
- This is an imperative sentence, giving a command. It does not express a fact that can be classified as true or false. Therefore, this is **not a statement**.

2. **Option 2: "What are you doing here?"**
- This is an interrogative sentence, asking a question. Similar to the first option, it does not provide a factual assertion that can be evaluated as true or false. Thus, this is **not a statement**.

3. **Option 3: "Good evening, sir."**
- This is a greeting and does not convey any factual information that can be classified as true or false. Therefore, this is **not a statement**.

4. **Option 4: "Chennai is the capital of Tamil Nadu."**
- This is a declarative sentence that makes a factual claim. It can be evaluated as true (since Chennai is indeed the capital of Tamil Nadu) or false. Therefore, this is a **statement**.

**Conclusion:**
The only option that qualifies as a statement is **Option 4: "Chennai is the capital of Tamil Nadu."**