73, 94, 115, 136, 147, 178

Options

A. 94
B. 136
C. 147
D. 178

Explanation

To solve the series completion question with the numbers 73, 94, 115, 136, 147, and 178, we will analyze the differences between consecutive terms to identify any patterns.

### Step-by-Step Solution:

1. **Identify the Series**: The given series is 73, 94, 115, 136, 147, 178.

2. **Calculate the Differences**:
- Difference between 94 and 73:
\[ 94 - 73 = 21 \]
- Difference between 115 and 94:
\[ 115 - 94 = 21 \]
- Difference between 136 and 115:
\[ 136 - 115 = 21 \]
- Difference between 147 and 136:
\[ 147 - 136 = 11 \]
- Difference between 178 and 147:
\[ 178 - 147 = 31 \]

3. **Analyze the Differences**:
- The first three differences are 21, 21, and 21.
- However, the difference between 136 and 147 is 11, and between 147 and 178 is 31. This indicates that there is an inconsistency in the pattern.

4. **Identify the Odd Number**:
- If the series were consistent, the number after 136 should have been:
\[ 136 + 21 = 157 \]
- Since 157 is not present in the series and instead we have 147, we can conclude that 147 is the odd number in this sequence.

5. **Conclusion**:
- The correct answer is that 147 is the odd number in the series.