Statement I: A hole were drilled through the centre of earth and a ball is dropped into the hole at one end, it will not get out of other end of the hole.
Statement II: It will come out of the other end normally.
The ball will not go out of the other end of the hole, because it will execute SHM. One reaching the other end of the hole, its velocity becomes zero and acceleration of ball will be maximum and will be directed towards the centre of earth.