When there is no air resistance objects with different masses fall with.......

A. equal accelerations and different displacements
B. equal accelerations and similar displacements
C. different accelerations and similar displacements
D. different accelerations and displacements

B is the answer

B is probably the best answer. If "masses fall" had been followed by "from rest", then B is the exact answer. Falling does not imply zero initial velocity. Objects thrown upward fall at a constant rate, but their displacement with time is quite different from objects falling from rest.

Your questions are quite poorly written. I am wondering if the person writing them understands physics.