The correct option is B D
As per the information given, student A likes reading and cricket. All the students like badminton except student D. Therefore, student A likes reading, cricket and badminton. Hence, option A is not the correct answer.
Option C is not the correct answer since student B likes music, reading and badminton.
According to the information given, student D likes cricket. Moreover, the two students who likes tennis are student C and student D. Therefore, student D is the only student who likes both tennis and cricket.
Hence, option D is the correct answer.