Correct Answer - Option 2 : (A), (D) and (E) only
1) A and B play Football, Cricket, and Hockey.
2) B and C play Hockey and Badminton.
Means B plays Football, Cricket, Hockey, and Badminton.
3) C and D play Badminton and Tennis.
C plays hockey, Badminton, and Tennis.
4) D and A play Football, Cricket, and Tennis.
Means A plays Football, Cricket, Hockey, and Tennis.
D plays Football, Cricket, Tennis, and Badminton.
Conclusions:
(A) C does not play Cricket → True
(B) B and D both play Tennis → False (B does not play Tennis)
(C) A plays football, Cricket, and Badminton → False (A does not play Badminton)
(D) A, B and D play Football and Cricket → True
(E) Except B all play Tennis → True
Hence, "(A), (D) and (E) only" is the correct answer.