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Directions: In the following question, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern in the given series.
101, 100, ____, 87, 71, 46
  • a)
    92
  • b)
    88
  • c)
    89
  • d)
    96
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: In the following question, a number series is given with ...
Understanding the Series
The given number series is: 101, 100, ____, 87, 71, 46.
To find the missing number, let's analyze the pattern in the series.
Finding the Differences
- First, calculate the differences between consecutive numbers:
- 101 to 100: 101 - 100 = 1
- 100 to the missing number: Let's denote it as x.
- x to 87: x - 87
- 87 to 71: 87 - 71 = 16
- 71 to 46: 71 - 46 = 25
Next, we can observe the differences for the known parts:
Pattern in Differences
- The differences between the terms seem to be increasing:
- From 100 to 87: The difference is 13.
- From 87 to 71: The difference is 16.
- From 71 to 46: The difference is 25.
Thus, the differences look like:
1 (from 101 to 100), ? (from 100 to x), 13 (from x to 87), 16 (from 87 to 71), and 25 (from 71 to 46).
Establishing the Pattern
To identify the missing term x, let's assume the differences are increasing by 3 each time:
- 1 (101 to 100)
- 4 (100 to x)
- 7 (x to 87)
- 10 (87 to 71)
- 15 (71 to 46)
Solving this, if the difference from 100 to x is 4, we find x as follows:
- x = 100 - 4 = 96.
Thus, the missing number is 96.
Conclusion
The correct answer that continues the pattern in the series is option 'D' (96).
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Community Answer
Directions: In the following question, a number series is given with ...
The pattern is –12, –22, –32, –42, –52.
(–1, –4, –9, –16, –25)
The missing number is (100 – 4) = 96.
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Directions: In the following question, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern in the given series.101, 100, ____, 87, 71, 46a)92b)88c)89d)96Correct answer is option 'D'. Can you explain this answer?
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Solutions for Directions: In the following question, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern in the given series.101, 100, ____, 87, 71, 46a)92b)88c)89d)96Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
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