Question

If a bar magnet is given a shape like V on one pole and another pole remain as it is then how will north and south pole will exist.

Answer 1

Although for many purposes it is convenient to think of a magnet as having distinct north and south magnetic poles, the concept of poles should not be taken literally: it is merely a way of referring to the two different ends of a magnet. The magnet does not actually have distinct north or south particles on opposing sides.

So, if one end of a bar-shaped magnet is cut in the shape of V, the pole at that end (say the North pole) will shift to some point inside the magnet.