Number-power analogy (repair applied): “25 : 625 :: 35 : ?” — recognize the square pattern in the first pair and complete the second pair accordingly.

Introduction / Context:
This analogy uses a simple power transformation. Since 25 maps to 625 and 625 = 25^2, the intended pattern is squaring the number. The original options did not include the correct square of 35, so they have been minimally repaired under the Recovery-First Policy to make the item solvable without changing its core concept.

Given Data / Assumptions:

• 25 → 625 where 625 = 25^2.
• Apply the same rule to 35: 35^2 = 1225.
• Only one option should match 1225 after repair.

Concept / Approach:
Use consistent transformation: n → n^2. Do not mix multiplication by a fixed number or concatenations, as that would break the analogy’s logic.

Step-by-Step Solution:
1) Identify the transformation in the exemplar: 25^2 = 625.2) Compute the target: 35^2 = 1225.3) Select 1225.

Verification / Alternative check:
You can confirm by reversing: sqrt(625) = 25; similarly, sqrt(1225) = 35.

Why Other Options Are Wrong:

• 1575, 875, 635, 1205: These are products or concatenation-like distractors, not the exact square.

Common Pitfalls:
Confusing squaring with multiplying by 25 or adding 600; analogy problems require the same functional rule across pairs.

Final Answer:
1225