[ابو بيشو]

I haven’t a car. (old-fashioned BrE)
Have you a car? (old-fashioned BrE)

I haven’t got a car. (modern BrE)
I've got a car. (modern BrE, informal AmE)

I don’t have a car. (AmE)
Do you have a car? (AmE)

In sum, you probably shouldn't recommend the first two to students because they’re no longer in common use, while the others are.