Choose the odd numeral pair in each of the following questions :

Options

A. 21-49
B. 24-64
C. 25-54
D. 81-36

Answer

To solve the problem of choosing the odd numeral pair from the given options, we will analyze each pair to determine if they have a common factor.

### Step-by-Step Solution:

1. **Identify the pairs**: The pairs given are:
- Option 1: (21, 49)
- Option 2: (24, 64)
- Option 3: (25, 54)
- Option 4: (81, 36)

2. **Check Option 1 (21, 49)**:
- Find the common factor.
- 21 ÷ 7 = 3 (7 is a factor of 21)
- 49 ÷ 7 = 7 (7 is also a factor of 49)
- **Common factor**: 7

3. **Check Option 2 (24, 64)**:
- Find the common factor.
- 24 ÷ 8 = 3 (8 is a factor of 24)
- 64 ÷ 8 = 8 (8 is also a factor of 64)
- **Common factor**: 8

4. **Check Option 3 (25, 54)**:
- Find the common factor.
- 25 has factors: 1, 5, 25
- 54 has factors: 1, 2, 3, 6, 9, 18, 27, 54
- There is no common factor between 25 and 54.
- **Common factor**: None

5. **Check Option 4 (81, 36)**:
- Find the common factor.
- 81 ÷ 9 = 9 (9 is a factor of 81)
- 36 ÷ 9 = 4 (9 is also a factor of 36)
- **Common factor**: 9

6. **Conclusion**:
- From the analysis, Options 1, 2, and 4 have common factors (7, 8, and 9 respectively), while Option 3 does not have any common factor.
- Therefore, the odd numeral pair is **Option 3: (25, 54)**.

### Final Answer:
The odd numeral pair is **Option 3: (25, 54)**.