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Reasoning
Number Series
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NTPC Graduate Tier 1 2025 Shift-1 📅 06 May, 2025

What should come in place of the question mark (?) in the following logical sequence?

2, 6, 12, 20, 30, ?

A
40
B
42
C
44
D
46
Result Summary
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APEDIA

NTPC Graduate Tier 1
2025 • 06 May, 2025 • Shift-1
What should come in place of the question mark (?) in the following logical sequence?

2, 6, 12, 20, 30, ?
Correct Answer
42
First Layer Analysis: We must determine the mathematical variance between consecutive numbers in the presented array.Extracting the Pattern: The gap from 2 to 6......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Reasoning
Chapter -
Ref. Topic Number Series
Pg. No -
💡 Analysis & Explanation
First Layer Analysis ▼
We must determine the mathematical variance between consecutive numbers in the presented array.
Extracting the Pattern ▼
The gap from 2 to 6 is +4. From 6 to 12 is +6. From 12 to 20 is +8. From 20 to 30 is +10.
Secondary Logical Deduction ▼
The extracted differences (4, 6, 8, 10) form a completely predictable sequence of consecutive even integers, increasing by 2 each time.
Predicting the Next Value ▼
Adhering to this established logic, the subsequent difference must be +12. Adding 12 to the terminal number of the series (30) gives 30 + 12 = 42.
Conclusion ▼
The specific number required to accurately complete the pattern is 42.
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