In the following number series only one number is wrong. Find out the...
7 + 11 x 1 = 18
18 + 11 x 3 = 51
51 + 11 x 5 = 106
106 + 11 x 7 = 183
183 + 11 x 9 = 282
282 + 11 x 11 = 403
Hence, the number '40' is wrong number in the given series
In the following number series only one number is wrong. Find out the...
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.
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