Let's address each of the parts of your question one by one:
The appropriate verb form for the sentence 'She avoided ... the question directly.' is a gerund, which is the '-ing' form of a verb when it serves as a noun. Gerunds are often used after verbs that indicate avoidance, such as 'avoid.' Therefore, the correct answer is:
A) answering
To determine the correct variant for the sentence 'She ... cook because the stove in her house wasn't working.', we need to consider the context, which indicates she was unable to cook due to a non-functional stove. The past tense of 'able' matches this scenario. Thus, the correct option is:
B) wasn't able to
The definition of 'Thoroughly' is very important to understand. It means to do something in a comprehensive and careful manner, ensuring that all details are attended to. Therefore, the correct answer is:
C) very carefully, so that nothing is missed.
These components of grammar, usage, and vocabulary are essential for understanding and using English effectively. Each question tests a different aspect of language learning: verb forms, modal verbs, and vocabulary comprehension. I hope this explanation helps clarify each part!