Six persons are seated around a hexagonal table facing the center. Arup is seated directly opposite Belal, who is located between Chirag and Derek. Arup is seated between Ela and Farook. If Ela is situated to the immediate left of Derek, which of the following pairs is facing each other?
- AEla and Farook
- BDerek and Ela
- CChirag and Ela
- DChirag and Farook
Solution & Step-by-step Explanation
Let us assign positions numbered to around the hexagonal table in a clockwise sequence:
* Place Belal at position .
* Since Arup is seated directly opposite Belal, Arup must be at position .
* Belal is between Chirag and Derek. This means Chirag and Derek occupy positions and in some order.
* Arup is between Ela and Farook. This means Ela and Farook occupy positions and in some order.
* We are given that Ela is to the left of Derek. If we place Derek at position , a person facing inwards at position will have position to their immediate left. Thus, Ela must be placed at position .
* Consequently, Chirag takes position (making Belal at sit between Chirag at and Derek at ).
* Similarly, Farook takes position (making Arup at sit between Ela at and Farook at ).
Let's list the opposing pairs ( with , with , with ):
* Position (Belal) faces Position (Arup)
* Position (Derek) faces Position (Farook)
* Position (Ela) faces Position (Chirag)
Therefore, Chirag and Ela are facing each other.
* Place Belal at position .
* Since Arup is seated directly opposite Belal, Arup must be at position .
* Belal is between Chirag and Derek. This means Chirag and Derek occupy positions and in some order.
* Arup is between Ela and Farook. This means Ela and Farook occupy positions and in some order.
* We are given that Ela is to the left of Derek. If we place Derek at position , a person facing inwards at position will have position to their immediate left. Thus, Ela must be placed at position .
* Consequently, Chirag takes position (making Belal at sit between Chirag at and Derek at ).
* Similarly, Farook takes position (making Arup at sit between Ela at and Farook at ).
Let's list the opposing pairs ( with , with , with ):
* Position (Belal) faces Position (Arup)
* Position (Derek) faces Position (Farook)
* Position (Ela) faces Position (Chirag)
Therefore, Chirag and Ela are facing each other.