Analogy (numbers) — “6 : 35 :: 7 : ?”. Infer the rule and find the missing value.

Introduction / Context:
Find f(n) such that 6 → 35. A compact rule is f(n) = n^2 - 1 (since 6^2 - 1 = 36 - 1 = 35). Apply the same to n = 7.

Given Data / Assumptions:

• Square-based transformation.

Concept / Approach:
Compute 7^2 - 1.

Step-by-Step Solution:

Verification / Alternative check:
Check that the rule also explains the first pair perfectly.

Why Other Options Are Wrong:
They do not equal 7^2 - 1.

Common Pitfalls:
Trying addition/multiplication tables when a simple square relation suffices.

Final Answer:
48