Five persons Ritik, Aman, Vijay, Piyush and Nitin are sitting around a circular table facing away from the centre. Piyush is sitting to the immediate left of Ritik. Vijay and Aman are not the immediate neighbours of Ritik. Aman is sitting to the immediate right of Vijay.
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Who is sitting to the immediate right of Nitin?

Let's arrange them in a circle facing away from the center (clockwise direction means left, counter-clockwise means right):
Piyush is sitting to the immediate left of Ritik. If Ritik is at position 1, Piyush is at position 2 (going clockwise).

Vijay and Aman are not neighbors of Ritik. This means positions adjacent to Ritik (position 5 and position 2) cannot have Vijay or Aman. Position 2 is already occupied by Piyush. Therefore, position 5 cannot be Vijay or Aman.

The remaining person for position 5 must be Nitin.

Now we have positions 3 and 4 left for Vijay and Aman.

Aman is sitting to the immediate right of Vijay. Since they face away from the center, right is counter-clockwise. This means Vijay is at position 3 and Aman is at position 4.
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The clockwise order of positions (1 to 5) is: Ritik, Piyush, Vijay, Aman, Nitin.
Looking at Nitin, his immediate right (counter-clockwise) is Ritik.