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What number would replace the question mark in the series 2, 9, 20, 35, 54, 77,…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2022 (14.03.2023) Shift-I (Education)
What number would replace the question mark in the series 2, 9, 20, 35, 54, 77, ?, 135
A131
B104 ✓ Correct
C125
D98
Correct answer: (B) 104 — The answer is 104.
Explanation
The answer is 104.
Each term follows the pattern the sum of two consecutive numbers times the next counting number.
For example three plus four times five gives 35, and four plus five times six gives 54.
Continuing, five plus six times seven gives 77.
The next term is six plus seven times eight, which is 104.
The following term seven plus eight times nine gives 135, confirming the pattern.
So the answer is 104.

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