Step 1: Understanding the Concept:
This is an English grammar correction problem focusing on the idiomatic usage of the noun phrase "a must" and its associated prepositional structure.
Step 2: Detailed Explanation:
- The phrase "a must" acts as a noun meaning a necessity or essential requirement.
- In English, "a must" is idiomatic when followed by the preposition "for" and a gerund (\(v\)-ing form) to describe the purpose or goal of the requirement.
- For example, "This book is a must for reading" or "Patience is a must for solving..."
- Using the infinitive "to solve" after "a must" is grammatically awkward and less idiomatic in formal contexts.
- Therefore, the phrase "a must to solve" is best corrected to "a must for solving".
Step 3: Final Answer:
The correct option is (C) For solving.