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Direction: Select the number from among the given options that can replace the question mark (?) in the following series.
Q. 2,6,12,20,30,42,?
- a)50
- b)52
- c)60
- d)56
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Direction: Select the number from among the given options that can rep...
The logic followed here is:
Therefore, ‘56’ is the correct answer.
Therefore, ‘56’ is the correct answer.
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Direction: Select the number from among the given options that can rep...
The logic followed here is:
Therefore, ‘56’ is the correct answer.
Therefore, ‘56’ is the correct answer.
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Direction: Select the number from among the given options that can rep...
Understanding the Series
The series presented is: 2, 6, 12, 20, 30, 42, ?
To find the missing number, we need to analyze the pattern in the differences between consecutive terms.
Calculating Differences
1. First Differences:
- 6 - 2 = 4
- 12 - 6 = 6
- 20 - 12 = 8
- 30 - 20 = 10
- 42 - 30 = 12
This gives us the first difference series: 4, 6, 8, 10, 12.
2. Second Differences:
- 6 - 4 = 2
- 8 - 6 = 2
- 10 - 8 = 2
- 12 - 10 = 2
The second differences are constant at 2, indicating that the first differences increase linearly.
Finding the Next Term
Since the first differences are increasing by 2, we can predict the next first difference after 12:
- Next first difference = 12 + 2 = 14.
Now, we add this to the last term of the original series:
- Next term = 42 + 14 = 56.
Conclusion
Thus, the missing number in the series is 56.
Final Answer
The correct option is D) 56.
The series presented is: 2, 6, 12, 20, 30, 42, ?
To find the missing number, we need to analyze the pattern in the differences between consecutive terms.
Calculating Differences
1. First Differences:
- 6 - 2 = 4
- 12 - 6 = 6
- 20 - 12 = 8
- 30 - 20 = 10
- 42 - 30 = 12
This gives us the first difference series: 4, 6, 8, 10, 12.
2. Second Differences:
- 6 - 4 = 2
- 8 - 6 = 2
- 10 - 8 = 2
- 12 - 10 = 2
The second differences are constant at 2, indicating that the first differences increase linearly.
Finding the Next Term
Since the first differences are increasing by 2, we can predict the next first difference after 12:
- Next first difference = 12 + 2 = 14.
Now, we add this to the last term of the original series:
- Next term = 42 + 14 = 56.
Conclusion
Thus, the missing number in the series is 56.
Final Answer
The correct option is D) 56.
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Direction: Select the number from among the given options that can replace the question mark (?) in the following series.Q. 2,6,12,20,30,42,?a)50b)52c)60d)56Correct answer is option 'D'. Can you explain this answer?
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Direction: Select the number from among the given options that can replace the question mark (?) in the following series.Q. 2,6,12,20,30,42,?a)50b)52c)60d)56Correct answer is option 'D'. Can you explain this answer? for CDS 2025 is part of CDS preparation. The Question and answers have been prepared according to the CDS exam syllabus. Information about Direction: Select the number from among the given options that can replace the question mark (?) in the following series.Q. 2,6,12,20,30,42,?a)50b)52c)60d)56Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CDS 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Select the number from among the given options that can replace the question mark (?) in the following series.Q. 2,6,12,20,30,42,?a)50b)52c)60d)56Correct answer is option 'D'. Can you explain this answer?.
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