33, 88, 121, 187, 287, 341

Options

A. 88
B. 121
C. 187
D. 287

Explanation

To solve the series: 33, 88, 121, 187, 287, 341, we need to identify a pattern or rule that governs the sequence of numbers.

### Step-by-Step Solution:

1. **Identify the Numbers**: The given series is 33, 88, 121, 187, 287, 341.

2. **Check for Divisibility**: Let's check if these numbers are divisible by a common factor. A good candidate to check is 11, as it is a small prime number.

3. **Calculate Divisibility by 11**:
- \( 33 \div 11 = 3 \) (exactly divisible)
- \( 88 \div 11 = 8 \) (exactly divisible)
- \( 121 \div 11 = 11 \) (exactly divisible)
- \( 187 \div 11 = 17 \) (exactly divisible)
- \( 287 \div 11 = 26.09 \) (not exactly divisible)
- \( 341 \div 11 = 31 \) (exactly divisible)

4. **Identify the Odd One Out**: From the calculations above, we see that all numbers except 287 are divisible by 11. This indicates that 287 does not fit the pattern established by the other numbers.

5. **Conclusion**: The odd number in the series is 287. If we replace 287 with a number that is divisible by 11, such as 297 (which is 11 times 27), the series would maintain the pattern.

### Final Answer:
The odd number in the series is **287**.

---