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

Options

A. 72-45
B. 51-24
C. 46-20
D. 32-13

Answer

To solve the problem of identifying the odd numeral pair from the given options, we will analyze each pair for common factors.

### Step-by-Step Solution:

1. **Identify the Pairs:**
The pairs given are:
- Pair 1: (72, 45)
- Pair 2: (51, 24)
- Pair 3: (46, 20)
- Pair 4: (32, 30)

2. **Check Common Factors for Each Pair:**
- **Pair 1: (72, 45)**
- Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Factors of 45: 1, 3, 5, 9, 15, 45
- Common factors: 1, 3, 9
- Conclusion: They have common factors.

- **Pair 2: (51, 24)**
- Factors of 51: 1, 3, 17, 51
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Common factors: 1, 3
- Conclusion: They have common factors.

- **Pair 3: (46, 20)**
- Factors of 46: 1, 2, 23, 46
- Factors of 20: 1, 2, 4, 5, 10, 20
- Common factors: 1, 2
- Conclusion: They have common factors.

- **Pair 4: (32, 30)**
- Factors of 32: 1, 2, 4, 8, 16, 32
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Common factors: 1, 2
- Conclusion: They have common factors.

3. **Identify the Odd Pair:**
Upon analyzing all pairs, we see that all pairs except Pair 4 have common factors. However, Pair 4 (32 and 30) also has common factors.

4. **Final Conclusion:**
Since all pairs have common factors, we need to look for the pair that does not share the same commonality in terms of divisibility. Upon further inspection, we realize that the odd pair is actually (32, 30) because they do not share any other commonality beyond the basic factor of 1 and 2, which is not significant enough compared to the other pairs.

### Final Answer:
The odd numeral pair is (32, 30).