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What should come in place of question mark in the following number series?
3.5, 14.5, 36.5, 69.5, ?, 168.5
  • a)
    99.5
  • b)
    105.5
  • c)
    113.5
  • d)
    123.5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What should come in place of question mark in the following number ser...
Number Series:
The given number series is: 3.5, 14.5, 36.5, 69.5, ?, 168.5

To find the missing number in the series, let's analyze the pattern and the relationship between the numbers.

Pattern Analysis:
Looking at the series, we can observe the following patterns:

1. The difference between consecutive terms is not constant.
2. The difference between consecutive terms is increasing by 11 each time.

Calculating the Differences:
Now, let's calculate the differences between consecutive terms in the series:

14.5 - 3.5 = 11
36.5 - 14.5 = 22
69.5 - 36.5 = 33

From the differences, we can see that they follow an increasing pattern of 11.

Calculating the Next Difference:
To find the next difference, we add 11 to the last difference:
33 + 11 = 44

Finding the Missing Number:
To find the missing number, we add the next difference to the last number in the series:
69.5 + 44 = 113.5

Therefore, the missing number in the series is 113.5.

Verifying the Answer:
Let's verify the answer by checking the next difference:

113.5 - 69.5 = 44

The next difference is indeed 44, confirming that our answer is correct.

Therefore, the missing number in the series is 113.5, which corresponds to option C.
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What should come in place of question mark in the following number series?3.5, 14.5, 36.5, 69.5, ?, 168.5a)99.5b)105.5c)113.5d)123.5Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about What should come in place of question mark in the following number series?3.5, 14.5, 36.5, 69.5, ?, 168.5a)99.5b)105.5c)113.5d)123.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What should come in place of question mark in the following number series?3.5, 14.5, 36.5, 69.5, ?, 168.5a)99.5b)105.5c)113.5d)123.5Correct answer is option 'C'. Can you explain this answer?.
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