Analogy (numbers) — “20 : 11 :: 102 : ?”. Detect the transformation and apply it to the second pair.

Introduction / Context:
Identify the function f(n) that sends 20 → 11 and apply it to 102. A simple candidate is f(n) = n/2 + 1 (for even n), which yields 20/2 + 1 = 11.

Given Data / Assumptions:

• Even inputs; integer arithmetic.

Concept / Approach:
Test f(n) = n/2 + 1 on 102.

Step-by-Step Solution:

Verification / Alternative check:
Other simple forms (sum of digits, etc.) do not fit 20 → 11 as neatly. The half-plus-one rule is concise and consistent.

Why Other Options Are Wrong:
They do not equal 102/2 + 1.

Common Pitfalls:
Forgetting the +1 after halving.

Final Answer:
52