Correct option is A
Solution:
· Dewan joined Physics.
· Akash joined one year after Dewan, so Akash joined in 1993. He did not join Chemistry.
· The student who joined in 1992 cannot be Dewan (who joined in 1991) or Akash (who joined in 1993), so the student who joined in 1992 must be Bikram.
· Bikram cannot join Physics (Dewan already did) and cannot join Chemistry because Akash did not join Chemistry. Therefore, Bikram must have joined Mathematics.
· Ramesh joined in 1994, and he must have joined Biology since the other departments are already assigned.
Thus, the student who joined in 1992 (which is Bikram) did not join Chemistry. Physics is the correct department for the student who joined in 1991, which is Dewan.
Final Answer:
(a) Physics.