Which of the following sentences are statements
p : Hockey is the national sport of India
q· : Do your homework
r : There are 400 days in a year

Options

A. p only
B. q only
C. P and r only
D. All p, q and r

Answer

To determine which of the given sentences are statements, we need to analyze each one based on the definition of a statement in mathematical reasoning. A statement is a declarative sentence that is either true or false, but not both.

Let's evaluate each sentence:

1. **Sentence p: "Hockey is the national sport of India."**
- This sentence makes a claim about the national sport of India. It can be evaluated for truthfulness. Currently, it is known that field hockey was recognized as the national sport of India, so this sentence is **true**.

2. **Sentence q: "Do your homework."**
- This sentence is an imperative or a command. It does not assert a fact that can be classified as true or false. Therefore, it is **not a statement**.

3. **Sentence r: "There are 400 days in a year."**
- This sentence makes a factual claim about the number of days in a year. We know that there are 365 days in a standard year (and 366 in a leap year). Thus, this sentence is **false**.

Now, we summarize our findings:

- Sentence p is a statement (true).
- Sentence q is not a statement.
- Sentence r is a statement (false).

Thus, the sentences that are statements are p and r.

### Final Answer:
The statements are p and r.

---