A group of six friends are sitting around a hexagonal table, each one at one corner of the hexagon.<br />Ram is sitting opposite to Ramesh.<br />Jyoti is sitting next to Seema.<br />Neeta is sitting opposite to Seema but not next to Ram.<br /> Amrit has a person sitting between Ramesh and himself.<br /> If Seema and Jyoti mutually interchange their positions, then who will be sitting opposite to Neeta?
Step-by-step Solution:
For a six-sided hexagonal table, "opposite" and "diagonally opposite" mean the same thing. There is only one person directly across the center from any given position. *** ### Possibility 1 $$ \begin{array}{ccc} & \text{Ram} & \\ \\ \text{Seema} & & \text{Amrit} \\ \\ \text{Jyoti} & & \text{Neeta} \\ \\ & \text{Ramesh} & \end{array} $$ *** ### Possibility 2 $$ \begin{array}{ccc} & \text{Ram} & \\ \\ \text{Amrit} & & \text{Seema} \\ \\ \text{Neeta} & & \text{Jyoti} \\ \\ & \text{Ramesh} & \end{array} $$