Assertion : The difference between the smallest 3-digit number and the greatest 2-digit number is 1.
Reason: While writing Roman numerals, repetition of symbol means addition of its value as many times as it occurs.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Identify the smallest 3-digit number**:
- The smallest 3-digit number is 100.

2. **Identify the greatest 2-digit number**:
- The greatest 2-digit number is 99.

3. **Calculate the difference between the smallest 3-digit number and the greatest 2-digit number**:
- Difference = Smallest 3-digit number - Greatest 2-digit number
- Difference = 100 - 99 = 1

4. **Evaluate the assertion**:
- The assertion states that the difference between the smallest 3-digit number and the greatest 2-digit number is 1.
- Since we calculated the difference to be 1, the assertion is **true**.

5. **Evaluate the reason**:
- The reason states that while writing Roman numerals, repetition of a symbol means addition of its value as many times as it occurs.
- This statement is generally true; however, it can be misleading because not all Roman numeral symbols can be repeated (e.g., "V" for 5 cannot be repeated).
- Therefore, the reason is **false** as it does not apply universally to all Roman numerals.

6. **Conclusion**:
- The assertion is true, but the reason is false.

### Final Answer:
- Assertion: True
- Reason: False