Statement-1: Magnitude of average velocity is equal to average speed, if velocity is constant.
Statement-2: It is possible when the direction of motion keeps changing.

Options

A. Statement -1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement -1
B. Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for statement-1
C. Statement-1 is true, Statement-2 is false
D. Statement-1 is false, Statement-2 is true

Explanation

To solve the problem, we need to analyze both statements regarding average velocity and average speed.

### Step-by-Step Solution:

1. **Understanding Average Velocity and Average Speed**:
- Average velocity is defined as the total displacement divided by the total time taken.
- Average speed is defined as the total distance traveled divided by the total time taken.

2. **Analyzing Statement 1**:
- Statement 1 claims that the magnitude of average velocity is equal to average speed if velocity is constant.
- For the average velocity and average speed to be equal, the total displacement must equal the total distance traveled.
- This equality holds true only when the direction of motion does not change, meaning the motion is in a straight line without any deviation.

3. **Conclusion for Statement 1**:
- If the velocity is constant (both magnitude and direction), then the average velocity (which depends on displacement) will equal the average speed (which depends on distance).
- Therefore, Statement 1 is **True**.

4. **Analyzing Statement 2**:
- Statement 2 states that it is possible for the magnitude of average velocity to equal average speed when the direction of motion keeps changing.
- If the direction of motion changes, the displacement (which is a vector quantity) will not equal the total distance traveled.
- Hence, if the direction changes, the average velocity will not equal the average speed.

5. **Conclusion for Statement 2**:
- Since changing direction implies that the displacement is less than the distance traveled, Statement 2 is **False**.

6. **Final Evaluation**:
- Based on the analysis, we conclude that Statement 1 is true and Statement 2 is false.

### Final Answer:
- Statement 1 is True.
- Statement 2 is False.