Given Number Series:
7, 18, 40, 106, 183, 282, 403

Observations:
- Looking at the given number series, it is not immediately clear what pattern or rule is being followed.
- Therefore, we need to analyze the series in more detail to identify the pattern and find the wrong number.

Analysis:
- Let's find the differences between consecutive numbers in the series to see if there is any pattern:
- Difference between 18 and 7 = 11
- Difference between 40 and 18 = 22
- Difference between 106 and 40 = 66
- Difference between 183 and 106 = 77
- Difference between 282 and 183 = 99
- Difference between 403 and 282 = 121

- The differences between consecutive numbers do not follow a consistent pattern, making it difficult to identify the rule.

- Another approach is to find the differences between the differences:
- Difference between 22 and 11 = 11
- Difference between 66 and 22 = 44
- Difference between 77 and 66 = 11
- Difference between 99 and 77 = 22
- Difference between 121 and 99 = 22

- The differences between the differences are also not following a consistent pattern.

Conclusion:
- Since we are unable to identify a consistent pattern in the given number series, it is difficult to determine the correct number or the wrong number.
- In this case, we would need more information or additional numbers in the series to accurately identify the pattern and find the wrong number.
- Therefore, the correct answer is option 'C' (40) as per the given options, but it is important to note that the reasoning behind this choice is not clear without further information.