Write converse and inverse of the given conditional statement:
If a number `I/F` is even , then `n^2` is even.

Answer

To solve the problem, we need to find the converse and inverse of the given conditional statement: "If a number \( \frac{I}{F} \) is even, then \( n^2 \) is even."

### Step 1: Identify the components of the conditional statement
The conditional statement has two parts:
- Hypothesis (P): A number \( \frac{I}{F} \) is even.
- Conclusion (Q): \( n^2 \) is even.

### Step 2: Write the converse
The converse of a conditional statement is formed by switching the hypothesis and conclusion. Therefore, the converse of the given statement is:
- If \( n^2 \) is even, then a number \( \frac{I}{F} \) is even.

### Step 3: Write the inverse
The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion. Therefore, the inverse of the given statement is:
- If a number \( \frac{I}{F} \) is not even, then \( n^2 \) is not even.

### Final Answers
- **Converse:** If \( n^2 \) is even, then a number \( \frac{I}{F} \) is even.
- **Inverse:** If a number \( \frac{I}{F} \) is not even, then \( n^2 \) is not even.