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Find the next term in the series: 1, 2, 4, 6, 7, 18, 10, 54, ?

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2021 June 2022 (29.09.2022) Shift-II
Find the next term in the series: 1, 2, 4, 6, 7, 18, 10, 54, ?
A162
B13 ✓ Correct
C64
D72
Correct answer: (B) 13 — The answer is 13.
Explanation
The answer is 13.
The series interleaves two patterns in alternate positions.
The terms in the odd positions rise by 3 each time, giving 1, 4, 7, 10 and then 13.
The terms in the even positions are multiplied by 3 each time, giving 2, 6, 18 and 54.
The missing term is in an odd position, so it continues 1, 4, 7, 10 with 13.
The other options do not fit this pattern.
So the answer is 13.

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