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In the following number series only one number is wrong. Find out the wrong number.
13 14 27 45 68 109 177
  • a)
    27
  • b)
    109
  • c)
    68
  • d)
    45
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the following number series only one number is wrong. Find out the...
13
14
27 = 13 + 14
41 = 14 + 27
68 = 27 + 41
109 = 41 + 68
177 = 68 + 109
Hence, 45 is the wrong number in the given series
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Most Upvoted Answer
In the following number series only one number is wrong. Find out the...
Understanding the Number Series
The series provided is: 13, 14, 27, 45, 68, 109, 177. The task is to identify the incorrect number.
Analyzing the Differences
To find the incorrect number, we first look at the differences between consecutive numbers:
- 14 - 13 = 1
- 27 - 14 = 13
- 45 - 27 = 18
- 68 - 45 = 23
- 109 - 68 = 41
- 177 - 109 = 68
The differences are: 1, 13, 18, 23, 41, 68.
Identifying the Pattern
Next, we analyze these differences for a pattern:
- The first difference (1) is small.
- The second difference (13) increases significantly.
- The third difference (18) is a small increment.
- The fourth difference (23) follows the trend of small increments.
- The fifth difference (41) jumps considerably.
- The sixth difference (68) is very large.
It appears that the differences do not follow a consistent pattern, especially from 23 to 41 and then to 68.
Finding the Incorrect Number
If we look closely at the differences, we notice that:
- The jump from 45 to 68 (difference of 23) seems reasonable.
- However, the jump from 68 to 109 (difference of 41) is too large compared to previous jumps.
If we reassess, changing 45 to 49 gives:
- 49 - 27 = 22 (a more consistent increment)
- 68 - 49 = 19
- 109 - 68 = 41 (still large but improved)
Thus, 45 seems to disrupt the potential pattern.
Conclusion
The wrong number in the series is 45. Correcting it leads to a more uniform increase in the series. Therefore, the correct answer is option 'D'.
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In the following number series only one number is wrong. Find out the wrong number.13 14 27 45 68 109 177a)27b)109c)68d)45e)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
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