Direction : Find the odd number/letters/number pair from the given alternatives : / निर्देश : दिए गए विकल्पों में से विषम शब्द/अक्षरों/संख्या को चुनिए:

Options

A. 126
B. 168
C. 224
D. 240

Explanation

To find the odd number from the given alternatives (126, 168, 224, and 240), we will check the divisibility of each number by 6. A number is divisible by 6 if it is divisible by both 2 and 3.

**Step 1: Check divisibility of 126**
- **Divisibility by 2**: The last digit is 6 (even), so 126 is divisible by 2.
- **Divisibility by 3**: Sum of digits = 1 + 2 + 6 = 9 (which is divisible by 3).
- Since 126 is divisible by both 2 and 3, it is divisible by 6.

**Step 2: Check divisibility of 168**
- **Divisibility by 2**: The last digit is 8 (even), so 168 is divisible by 2.
- **Divisibility by 3**: Sum of digits = 1 + 6 + 8 = 15 (which is divisible by 3).
- Since 168 is divisible by both 2 and 3, it is divisible by 6.

**Step 3: Check divisibility of 224**
- **Divisibility by 2**: The last digit is 4 (even), so 224 is divisible by 2.
- **Divisibility by 3**: Sum of digits = 2 + 2 + 4 = 8 (which is not divisible by 3).
- Since 224 is not divisible by 3, it is not divisible by 6.

**Step 4: Check divisibility of 240**
- **Divisibility by 2**: The last digit is 0 (even), so 240 is divisible by 2.
- **Divisibility by 3**: Sum of digits = 2 + 4 + 0 = 6 (which is divisible by 3).
- Since 240 is divisible by both 2 and 3, it is divisible by 6.

**Conclusion:**
- The numbers 126, 168, and 240 are all divisible by 6, while 224 is not. Therefore, the odd number out is **224**.