Analogy (numbers) — “11 : 132 : : ?”. Infer the same mapping n*(n+1) for the correct pair.

Introduction / Context:
11 × 12 = 132, suggesting the rule f(n) = n * (n + 1). We must select the pair that satisfies this mapping in the same form.

Given Data / Assumptions:

• Both numbers should follow n and n*(n+1).

Concept / Approach:
Test each option.

Step-by-Step Solution:

Verification / Alternative check:
Only “9 : 90” maintains n*(n+1).

Why Other Options Are Wrong:
They reflect n^2 or mismatched products.

Common Pitfalls:
Confusing square with pronic (n*(n+1)) numbers.

Final Answer:
9 : 90