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Question

Five friends K, L, M, N and O play one of five different sports-Cricket, Football, Hockey, Badminton and Volleyball. Each friend plays only one sport. L and M do not play Hockey and Badminton. K plays Cricket. M does not play Volleyball. O does not play Badminton. Who plays Volleyball?

This question was previously asked in
SSC Stenographer 2020-21 Previous Year Paper (15-Nov-2021) (Shift 2)
The correct answer is L

Solving the Friends and Sports Logic Puzzle

This question is a logic puzzle where we need to deduce which sport each of the five friends plays based on the given clues. We have five friends: K, L, M, N, and O, and five different sports: Cricket, Football, Hockey, Badminton, and Volleyball. Each friend plays exactly one sport.

Analyzing the Clues for Sport Assignments

Let's break down the information provided by each clue:

  • Clue 1: L and M do not play Hockey and Badminton. This tells us that for both L and M, the sports Hockey and Badminton are not possible options.
  • Clue 2: K plays Cricket. This is a direct assignment. K plays only Cricket, and no one else plays Cricket.
  • Clue 3: M does not play Volleyball. This eliminates Volleyball as a sport for M.
  • Clue 4: O does not play Badminton. This eliminates Badminton as a sport for O.

Step-by-Step Deduction Process

We can use a table to keep track of the possibilities and eliminate sports for each friend based on the clues. We'll mark 'No' if a friend cannot play a sport and 'Yes' when we confirm they play a sport. Initially, every friend could potentially play any sport (except that each plays only one, and each sport is played by only one friend).

Friend Cricket Football Hockey Badminton Volleyball
K ? ? ? ? ?
L ? ? ? ? ?
M ? ? ? ? ?
N ? ? ? ? ?
O ? ? ? ? ?

Applying Clue 2: K plays Cricket.

Friend Cricket Football Hockey Badminton Volleyball
K Yes No No No No
L No ? ? ? ?
M No ? ? ? ?
N No ? ? ? ?
O No ? ? ? ?

Applying Clue 1: L and M do not play Hockey and Badminton.

Friend Cricket Football Hockey Badminton Volleyball
K Yes No No No No
L No ? No No ?
M No ? No No ?
N No ? ? ? ?
O No ? ? ? ?

Applying Clue 3: M does not play Volleyball.

Friend Cricket Football Hockey Badminton Volleyball
K Yes No No No No
L No ? No No ?
M No ? No No No
N No ? ? ? ?
O No ? ? ? ?

Now look at M's row. M cannot play Cricket, Hockey, Badminton, or Volleyball. The only sport left for M is Football.

Friend Cricket Football Hockey Badminton Volleyball
K Yes No No No No
L No No No No ?
M No Yes No No No
N No No ? ? ?
O No No ? ? ?

Applying Clue 4: O does not play Badminton.

Friend Cricket Football Hockey Badminton Volleyball
K Yes No No No No
L No No No No ?
M No Yes No No No
N No No ? ? ?
O No No ? No ?

Let's re-examine L's row. L cannot play Cricket, Football, Hockey, or Badminton. The only sport left for L to play is Volleyball.

Friend Cricket Football Hockey Badminton Volleyball
K Yes No No No No
L No No No No Yes
M No Yes No No No
N No No ? ? No
O No No ? No No

Now let's look at the remaining friends, N and O, and the remaining sports, Hockey and Badminton.

From O's row, O cannot play Cricket, Football, Badminton, or Volleyball. The only sport remaining for O is Hockey.

Friend Cricket Football Hockey Badminton Volleyball
K Yes No No No No
L No No No No Yes
M No Yes No No No
N No No No ? No
O No No Yes No No

Finally, look at N's row. N cannot play Cricket, Football, Hockey, or Volleyball. The only sport remaining for N is Badminton.

Friend Cricket Football Hockey Badminton Volleyball
K Yes No No No No
L No No No No Yes
M No Yes No No No
N No No No Yes No
O No No Yes No No

The final assignments are:

  • K plays Cricket.
  • L plays Volleyball.
  • M plays Football.
  • N plays Badminton.
  • O plays Hockey.

Conclusion: Who Plays Volleyball?

Based on our step-by-step deduction from the given clues, the friend who plays Volleyball is L.


Revision Table: Friends, Sports, and Clues

Here's a summary of the friends, the sports they play, and how we arrived at the conclusion based on the logic puzzle clues.

Friend Sport Played Deduction Path (Based on Clues)
K Cricket Directly given in Clue 2.
L Volleyball Did not play Cricket (Clue 2), Hockey, Badminton (Clue 1), Football (deduced from M), or Volleyball (deduced from M, O, N). Volleyball was the only option left after eliminations.
M Football Did not play Cricket (Clue 2), Hockey, Badminton (Clue 1), or Volleyball (Clue 3). Football was the only option left.
N Badminton Did not play Cricket (Clue 2), Football (deduced from M), or Volleyball (deduced from L). Hockey was taken by O. Badminton was the only option left.
O Hockey Did not play Cricket (Clue 2), Football (deduced from M), Badminton (Clue 4), or Volleyball (deduced from L). Hockey was the only option left.

Additional Information: Understanding Logic Puzzles and Deduction

Logic puzzles like this one are designed to test your ability to use deductive reasoning. Deductive reasoning is a type of logical thinking that moves from general statements or premises to specific conclusions. In these puzzles:

  • You are given a set of facts or clues.
  • You must use these clues to eliminate possibilities and arrive at the correct solution.
  • Often, combining multiple clues is necessary to make a deduction.
  • Using a table or grid is a common and effective strategy to manage the information and track eliminations systematically, especially in grid-based logic puzzles.
  • The key is to take one clue at a time and see what certainties or impossibilities it creates, then combine that with other clues until only one possibility remains for each element (in this case, friend-sport pairs).

Solving these puzzles helps improve critical thinking and problem-solving skills. This specific sports puzzle requires careful analysis of each condition to correctly assign a sport to each friend.

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