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What number should replace the question mark in the series: 5, 9, 15, 23, 33, ?

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2022 (06.03.2023) Shift-II
What number should replace the question mark in the series: 5, 9, 15, 23, 33, ?
A43
B45 ✓ Correct
C56
D66
Correct answer: (B) 45 — The next number is 45, so the answer is 45.
Explanation
The next number is 45, so the answer is 45.
The gaps between the terms increase by two each time.
From 5 to 9 the gap is 4, then 6, then 8, then 10.
So the gaps run as 4, 6, 8, 10 and next 12.
Adding 12 to 33 gives the next term.
That is 45.
So the answer is 45.

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