In the following number series only one number is wrong. Find out the...
Analyzing the Number Series
The given number series is:
15, 17, 16, 19, 17, 20, 18, 21
Let's break down the pattern in the series.
Observing the Pattern
- The series alternates between increasing and decreasing numbers.
- Odd-indexed positions (1st, 3rd, 5th, 7th): 15, 16, 17, 18
- Even-indexed positions (2nd, 4th, 6th, 8th): 17, 19, 20, 21
Odd-Indexed Positions
- 1st: 15
- 3rd: 16 (increased by 1 from 15)
- 5th: 17 (increased by 1 from 16)
- 7th: 18 (increased by 1 from 17)
This sequence is consistent; each number increases by 1.
Even-Indexed Positions
- 2nd: 17
- 4th: 19 (increased by 2 from 17)
- 6th: 20 (increased by 1 from 19)
- 8th: 21 (increased by 1 from 20)
Here, we notice a discrepancy. The second number (17) should follow a consistent increasing pattern.
Finding the Anomaly
- The expected pattern would suggest that after 17, the next number should increase by 2 (to 19), but the next number is 19.
- However, the following number, which is 20, diverges from the expected pattern, as it should have been a 18 (increasing by 1 from 17).
Conclusion
Given that the number 17 appears in both the odd and even positions without a valid pattern in the even series, it disrupts the flow. Hence, 17 is the redundant number in this series.
Thus, the wrong number is 17, making option 'A' the correct answer.
In the following number series only one number is wrong. Find out the...
15 + 3 = 18
18 - 2 = 16
16 + 3 = 19
19 - 2 = 17
17 + 3 = 20
20 - 2 = 18
18 + 3 = 21
Hence, 17 is the wrong number in the series
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.