As per given question, draw a table with Member, Sports and Instrument. Write the Member , Sports and Instrument in table as per given question.
As per Question,
A plays badminton and Flute. (Write in Table as shown in below figure.)
B likes Carrom and Banjo. (Write in Table as shown in below figure.)
C plays Harmonium.
(Write in Table as shown in below figure.)
E likes to play Bridge.
(Write in Table as shown in below figure.)
F plays Guitar.
(Write in Table as shown in below figure.)
G plays Hockey.
(Write in Table as shown in below figure.)
The one who plays Hockey plays Sitar.
(Write in Table for G as shown in below figure.)
Now Only two Instrument left which are Santoor and Tabla.
E likes to play Bridge but not Harmonium or Tabla.
So E likes to play Santoor.
(Write in Table for E as shown in below figure.)
Now only one Instrument is left which will be play by D.
(Write in Table for D as shown in below figure.)
F plays Guitar but not Table Tennis or Lawn Tennis.
It means Table Tennis or Lawn Tennis play only by C Or D.
As per one more condition,
The one who plays Lawn Tennis does not play Tabla.
D Plays Tabla so C will play only Lawn Tennis.
(Write in Table for D as shown in below figure.)