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NIMCET 2021 — Reasoning PYQ

NIMCET | Reasoning | 2021

Insert the missing number in the series: $16, 33, 65, 131, 261, ?$

Choose the correct answer:

Explanation

Let's examine the relationship between consecutive terms:

$16 \times 2 + 1 = 33$
$33 \times 2 - 1 = 65$
$65 \times 2 + 1 = 131$
$131 \times 2 - 1 = 261$

The pattern follows an alternating sequence of operations: multiply by 2, then add 1, followed by multiply by 2, then subtract 1.

Following this logic, the next operation after "multiply by 2, subtract 1" is "multiply by 2, add 1".

$261 \times 2 + 1 = 522 + 1 = 523$

Final Answer

The missing number is $523$ .

The correct option is A.