The correct option for the sentence "He bought a typewriter with a view .... to type" is A. to learning. Let's break down why this is the correct answer and why the other options are not suitable. Step-by-Step Explanation

1. Understanding the Phrase "with a view to":
2. The phrase "with a view to" is an idiomatic expression that means "with the intention of" or "for the purpose of." It is typically followed by a gerund (the -ing form of a verb).
3. In this context, the phrase indicates that the person bought the typewriter for the purpose of learning how to type.
4. Analyzing the Options:
5. A. to learning: This option uses the gerund form "learning," which is correct because it follows the idiomatic expression "with a view to." It indicates the intention of acquiring the skill of typing.
6. B. to learnt: This option is incorrect because "learnt" is the past tense of "learn." The phrase requires a gerund, not a past tense verb. Therefore, this option does not fit grammatically.
7. C. to be learning: This option is also incorrect. "To be learning" suggests an ongoing action in the future, which does not fit the context of the sentence. The phrase "with a view to" requires a gerund, not a future continuous form.
8. D. to be learnt: This option is incorrect as well. "To be learnt" implies a passive construction, suggesting that something will be learned by someone else. This does not align with the intention of the sentence, which is about the subject's own action of learning.
9. Why A is Correct:
10. "To learning" correctly follows the structure of "with a view to" and conveys the intended meaning that the typewriter was purchased for the purpose of learning how to type. It is grammatically correct and contextually appropriate.
11. Common Pitfalls:
12. A common mistake is to confuse the gerund form with other verb forms. Remember that "with a view to" always requires a gerund.
13. Another pitfall is misunderstanding the meaning of the phrase itself. It is essential to recognize that it indicates intention or purpose.

Revision Summary

• The correct answer is A. to learning because it uses the gerund form required by the phrase "with a view to."
• Options B, C, and D are incorrect due to grammatical errors or misinterpretation of the intended meaning.
• Always remember that "with a view to" is followed by a gerund, not a verb in any other form.
• Understanding idiomatic expressions is crucial for mastering English grammar and usage.