Directions : In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as
Assertion : Roman numeral of 1400 is MDC.
Reason : A symbol is placed before the symbol of greater value, the symbol of lesser value is subtracted.

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 the Assertion and the Reason provided.

**Assertion:** Roman numeral of 1400 is MDC.
**Reason:** A symbol is placed before the symbol of greater value, the symbol of lesser value is subtracted.

### Step-by-Step Solution:

1. **Understanding Roman Numerals:**
- Roman numerals are represented by combinations of letters from the Latin alphabet: I, V, X, L, C, D, and M.
- The values are as follows:
- M = 1000
- D = 500
- C = 100
- L = 50
- X = 10
- V = 5
- I = 1

2. **Analyzing the Assertion:**
- The assertion states that the Roman numeral for 1400 is MDC.
- To express 1400 in Roman numerals, we break it down:
- 1400 = 1000 (M) + 400 (CD)
- Therefore, the correct representation for 1400 is MCD, not MDC.

3. **Conclusion on Assertion:**
- Since the assertion claims that 1400 is represented as MDC, which is incorrect, the assertion is **false**.

4. **Analyzing the Reason:**
- The reason states that a symbol placed before a symbol of greater value means the lesser value is subtracted.
- This is true. For example, in the case of CD (400), C (100) is placed before D (500), indicating that 100 is subtracted from 500.

5. **Conclusion on Reason:**
- The reason provided is **true**.

6. **Final Evaluation:**
- Since the assertion is false and the reason is true, the correct answer is that the assertion is incorrect while the reason is correct.

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