The correct answer is: Although he admitted not having the talent necessary to become a violinist, he continued practising with great determination.
The other options are incorrect because they do not make sense in the context of the sentence.
- Option A: would be continuing is in the future tense, but the sentence is about something that happened in the past.
- Option B: will have admitted is in the future perfect tense, which is used to talk about something that will have happened by a certain time in the future. The sentence is not about something that will have happened by a certain time in the future, so this option is incorrect.
- Option C: would admit is in the conditional tense, which is used to talk about something that might or might have happened. The sentence is not about something that might or might have happened, so this option is incorrect.
- Option D: had continued is in the past perfect tense, which is used to talk about something that happened before another event in the past. The sentence is not about something that happened before another event in the past, so this option is incorrect.
The correct answer is: Although he admitted not having the talent necessary to become a violinist, he continued practising with great determination. This means that even though he knew that he did not have the talent to become a professional violinist, he still practiced with great determination. This shows that he was a very determined person who was willing to work hard to achieve his goals.