#1. Both are correct. #2. 1. correct (I hope that I can be an English teacher) 2. wrong 3. correct (I hope that you can be an English teacher)

Q1 I find that he is a very clever student - correct I find him a very clever student - incorrect - this sentence infers that you find a clever student for "him" I find him to be a very clever student - correct Q2 I hope to be an English teacher. - correct I hope you to be an english teacher. - incorrect I hope that you can be an English teacher. - correct The two correct versions need additional information for them to be complete sentences. "I hope to be an English teacher one day." "I hope that you can be an English teacher with your exam results." Otherwise you should write; "I hope to become an English teacher." "I hope that you can become an English teacher."

For Question 1, I would choose "I find that he is a very clever student" since the second answer should be, "I find him to be a very clever student." As for Question 2: "I hope to be an English teacher" is correct and expresses your own hopes. This can be used as an answer to a question such as, "What do you hope to do after you graduate from college?" The second one is grammatically incorrect. The third one is grammatically correct but it has a different meaning than the first because it is the other person who you hope will become an English teacher. Remember to always capitalize the names of countries and nationalities as well as languages.

I think he's a very clever student. I hope to become an English teacher. Good luck!