We are putting up furring strips on the ceiling to attach drywall to, but we can only get the screw so far ?

into the ceiling stud/joist and then it stops and won't go in any further. What are we doing wrong?
Update: what is a preset drill bit as opposed to the one I am using (the one that came with the drill set?) thanks!
Update 2: also, it feels as if it is hitting something, the screw is spinning, but not sinking.
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