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NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

Select the number from among the given options that can replace the question mark (?) in the following series.

29, 33, 41, 53, ?, 89, 113

A
71
B
79
C
63
D
69
Result Summary
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APEDIA

NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
Select the number from among the given options that can replace the question mark (?) in the following series.

29, 33, 41, 53, ?, 89, 113
Correct Answer
69
Difference Matrix Calculation: Let us carefully analyze the mathematical increments progressing between adjacent numbers in the series. From 29 to 33, the jump ......
💡 Analysis & Explanation
Difference Matrix Calculation
Let us carefully analyze the mathematical increments progressing between adjacent numbers in the series. From 29 to 33, the jump is +4. From 33 to 41, the jump is +8. From 41 to 53, the jump is +12.
Pattern Extrapolation
The derived differences (+4, +8, +12) clearly form an arithmetic progression consisting of consecutive multiples of 4. Therefore, the next logical gap in the sequence must be +16.
Application to Sequence
Adding this extrapolated value to the last known number gives 53 + 16 = 69.
Verification
To ensure absolute accuracy, we test the next gap. From 69 to the given 89 is a jump of +20 (which is the next multiple of 4). From 89 to 113 is a jump of +24. The logic holds perfectly.
Conclusion
The missing integer that perfectly bridges the gap is 69.