Select the incorrect option .

Options

A. CLXV - 165
B. MCXLIX-1149
C. CMLXXIV -964
D. MCCLVIII-1258

Answer

To solve the question of selecting the incorrect option among the given Roman numeral representations, we will analyze each option step by step.

### Step-by-Step Solution:

1. **Option 1: CLXV**
- Breakdown:
- C = 100
- L = 50
- X = 10
- V = 5
- Calculation:
- 100 + 50 + 10 + 5 = 165
- Conclusion: This option is correct.

2. **Option 2: MCXLIX**
- Breakdown:
- M = 1000
- C = 100
- XL = 50 - 10 = 40
- IX = 10 - 1 = 9
- Calculation:
- 1000 + 100 + 40 + 9 = 1149
- Conclusion: This option is correct.

3. **Option 3: CMLXXIV**
- Breakdown:
- C = 100
- M = 1000
- L = 50
- XX = 10 + 10 = 20
- IV = 5 - 1 = 4
- Calculation:
- Since C is before M, we subtract: 1000 - 100 = 900
- Then add L, XX, and IV:
- 900 + 50 + 20 + 4 = 974
- Conclusion: This option is incorrect as it was stated to be 964.

4. **Option 4: MCCLVII**
- Breakdown:
- M = 1000
- CC = 100 + 100 = 200
- L = 50
- V = 5
- II = 2
- Calculation:
- 1000 + 200 + 50 + 5 + 2 = 1257
- Conclusion: This option is correct.

### Final Conclusion:
The incorrect option is **Option 3: CMLXXIV**, which was incorrectly stated to represent 964 instead of 974.

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