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

Options

A. `8-27`
B. 125-216
C. 343-512
D. 1009-1331

Answer

To solve the problem of identifying the odd numeral pair from the given options, we will analyze each pair to find a common pattern.

### Step-by-Step Solution:

1. **Identify the first pair (8 and 27)**:
- 8 can be expressed as \(2^3\) (the cube of 2).
- 27 can be expressed as \(3^3\) (the cube of 3).
- Both numbers are perfect cubes.

2. **Identify the second pair (125 and 216)**:
- 125 can be expressed as \(5^3\) (the cube of 5).
- 216 can be expressed as \(6^3\) (the cube of 6).
- Both numbers are perfect cubes.

3. **Identify the third pair (343 and 512)**:
- 343 can be expressed as \(7^3\) (the cube of 7).
- 512 can be expressed as \(8^3\) (the cube of 8).
- Both numbers are perfect cubes.

4. **Identify the fourth pair (1009 and 1331)**:
- 1009 is not a perfect cube. The closest cubes are \(10^3 = 1000\) and \(11^3 = 1331\).
- 1331 can be expressed as \(11^3\) (the cube of 11).
- Here, only 1331 is a perfect cube, while 1009 is not.

### Conclusion:
From the analysis, we see that the first three pairs consist of two perfect cubes, while the fourth pair contains one number that is not a perfect cube. Therefore, the odd numeral pair is:

**Odd Pair: 1009 and 1331**