Question:

A, B, C, D, E, F, and G are members of a sports club who enjoy a variety of activities, including Carrom, Table Tennis, Badminton, Bridge, Hockey, Football, and Lawn Tennis, albeit not necessary in that order. They all have distinct musical preferences, such as Sitar, Guitar, Harmonium, Flute, Tabla, Banjo, and Santoor, though not necessarily in that order. B enjoys playing Carrom and Banjo. E enjoys playing bridge but not the harmonium or the tabla. Sitar is played by the person who plays hockey. F does not play table tennis or lawn tennis. A is a badminton and flute player. Tabla is not played by those who play lawn tennis. G plays hockey and C plays the Harmonium.
Which of the following game–person–instrument pairings is absolutely correct?

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In logic grids, first lock the direct facts, then reduce the remaining possibilities with exclusions (e.g., “not TT/ LT”, “LT $\not\to$ Tabla”). Finally, check options against these certainties—often “None of these” follows when each option contradicts a fixed rule.
Updated On: Aug 12, 2025
  • Badminton–B–Flute
  • Table Tennis–E–Santoor
  • Lawn Tennis–D–Tabla
  • None of these
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The Correct Option is D

Solution and Explanation

Step 1: Place all direct assignments.
From the statements: A $\to$ Badminton, Flute.
B $\to$ Carrom, Banjo.
E $\to$ Bridge, (not Harmonium, not Tabla).
G $\to$ Hockey and hence (by rule) Sitar.
C $\to$ Harmonium (game unknown).
Step 2: Narrow the remaining games.
Games already used: Badminton (A), Carrom (B), Bridge (E), Hockey (G). Remaining games for \{C, D, F\}: \{Table Tennis, Football, Lawn Tennis\}.
Given F does not} play Table Tennis or Lawn Tennis $$ F $\to$ Football. Therefore \{C, D\} must be \{Table Tennis, Lawn Tennis\}.
Step 3: Apply the Tabla restriction.
“Tabla is not played by those who play Lawn Tennis.” Hence the Lawn Tennis player (either C or D) cannot have Tabla. Also E cannot have Harmonium/Tabla; C already has Harmonium. Thus no option involving a Lawn Tennis–Tabla} combo can be correct.
Step 4: Test each option.
(a) Badminton–B–Flute}: Badminton is already fixed to A, not B $$ false.
(b) Table Tennis–E–Santoor}: E is fixed to Bridge, not Table Tennis $$ false.
(c) Lawn Tennis–D–Tabla}: Lawn Tennis player cannot play Tabla (given) $$ impossible $$ false.
Therefore none of the stated pairings is correct.
\[ \boxed{\text{(d) None of these}} \]
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