In the evening sun sets in West. Hence then any shadow falls in the East. Since Hema's shadow was to the right of Hema. Hence Rekha was facing towards South.

Therefore university is in North.

It is clear from the diagrams that new name of West will become South-East.

If he starts walking the morning then finally he will face towards South and if he starts in the evening then finally he will face towards North.

In the morning sun rises in the East. Hence then any shadow falls in the West. Since Nikharia's shadow was exactly to the right of Nivedita. Hence Nikharia is facing towards North.