NIMCET 2025 — Reasoning PYQ

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Question

NIMCET 2025 — Reasoning PYQ

NIMCET | Reasoning | 2025

What is the next number in each of the following 3 sequences?

(1) $8, 17, 33, 67, 133, ?$

(2) $7, 23, 67, 203, 607, ?$

(3) $6, 27, 105, 423, 1689, ?$

Choose the correct answer:

Explanation

Sequence (1):

Pattern: $(n \times 2) \pm 1$ alternating or consistent.

$8 \times 2 + 1 = 17$
$17 \times 2 - 1 = 33$
$33 \times 2 + 1 = 67$
$67 \times 2 - 1 = 133$
$133 \times 2 + 1 = 267$

Sequence (2):

Pattern: $(n \times 3) + \text{constant}$ or alternating.

$7 \times 3 + 2 = 23$
$23 \times 3 - 2 = 67$
$67 \times 3 + 2 = 203$
$203 \times 3 - 2 = 607$
$607 \times 3 + 2 = 1823$

Sequence (3):

Pattern: $(n \times 4) + \text{constant}$ or alternating.

$6 \times 4 + 3 = 27$
$27 \times 4 - 3 = 105$
$105 \times 4 + 3 = 423$
$423 \times 4 - 3 = 1689$
$1689 \times 4 + 3 = 6759$

Final Result:

(1) $267$
(2) $1823$
(3) $6759$

Correct Answer: Option A