A bar magnet was cut into two pieces initially; Again, each of these new pieces was cut into two more pieces, and this process was repeated once more. Then,
First cut: 2 north and 2 South Poles.
Second cut: Each of the two pieces were cut into two more pieces.
So, 4 North Poles and 4 South Poles.
Third cut: Each of the 4 pieces is cut into two more pieces.
So, 8 north and 8 South Poles.
Hence there will be 8 north poles in total.