- Shall I find out for you?
- Shall I open the door for you?
- Shall I pull these curtains back now?
Please, I want to choose one of the following for each question.
- a) Do you want that I
- b) Shall I
- c) Will I
- d) Would you like that I
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(a) and (d) are ungrammatical. (c) doesn’t convey the meaning that I think you have in mind. (b) is grammatical, and is one way of making an offer, but it may sound a little too formal for some.
Perhaps the most universally acceptable construction would be ‘Would you like me to open the door for you?’