CUET PG 2025 — Reasoning PYQ

Q: How do I solve CUET PG 2025 Reasoning questions?

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CUET PG Reasoning questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

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Question

CUET PG 2025 — Reasoning PYQ

CUET PG | Reasoning | 2025

Choose the missing term (?) of the following series.

2, 7, 27, 107, 427,?

Choose the correct answer:

Explanation

Pattern 1: Difference between consecutive terms

Let's find the difference between each term:

$7 - 2 = 5$
$27 - 7 = 20$
$107 - 27 = 80$
$427 - 107 = 320$

If we look at these differences ( $5, 20, 80, 320$ ), we can see they are being multiplied by $4$ :

$5 \times 4 = 20$
$20 \times 4 = 80$
$80 \times 4 = 320$

So, the next difference should be:

320 \times 4 = 1280

Adding this to the last term:

427 + 1280 = 1707

Pattern 2: Multiplication and Subtraction

Alternatively, we can find a direct relationship between the terms:

$2 \times 4 - 1 = 7$
$7 \times 4 - 1 = 27$
$27 \times 4 - 1 = 107$
$107 \times 4 - 1 = 427$

Following this logic, the next term is:

427 \times 4 - 1

1708 - 1 = 1707

Result

The missing term in the series is 1707.