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What number would replace the question mark in the series: 1, 4, 11, 26, 57, 120,…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2022 (11.03.2023) Shift-II (Computer)
What number would replace the question mark in the series: 1, 4, 11, 26, 57, 120, 247, ?
A424
B367
C255
D502 ✓ Correct
Correct answer: (D) 502 — The next number is 502, so the answer is 502.
Explanation
The next number is 502, so the answer is 502.
Each term is the previous term doubled and then a rising number is added.
1 times 2 plus 2 gives 4, and 4 times 2 plus 3 gives 11.
11 times 2 plus 4 gives 26, and so on up to 247.
So the next term is 247 times 2 plus 8.
That is 494 plus 8, which is 502.
So the answer is 502.

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