UPSC Prelims 2013·CSAT·Logical Reasoning·Arrangement and Puzzles

Examine carefully the following statements and answer the three items that follow: Out of four friends A, B, C and D, A and B play football and cricket, Band C play cricket and hockey, A and D play basketball and football, C and D play hockey and basketball. Which game do B, C and D play?

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Last updated 8 Jul 2026, 4:39 pm IST
  1. ABasketball
  2. BHockeyCorrect
  3. CCricket
  4. DFootball

Explanation

Let's break down the games played by each person:

  1. A and B play football and cricket. A: Football, Cricket B: Football, Cricket

  2. B and C play cricket and hockey. B: Football, Cricket, Hockey (adding hockey) C: Cricket, Hockey

  3. A and D play basketball and football. A: Football, Cricket, Basketball (adding basketball) D: Basketball, Football

  4. C and D play hockey and basketball. C: Cricket, Hockey, Basketball (adding basketball) D: Basketball, Football, Hockey (adding hockey)

Now, let's list the full set of games for B, C, and D: B: Football, Cricket, Hockey C: Cricket, Hockey, Basketball D: Basketball, Football, Hockey

We need to find the game common to B, C, and D.

  • Football: Played by B and D, but not C.
  • Cricket: Played by B and C, but not D.
  • Hockey: Played by B, C, and D.
  • Basketball: Played by C and D, but not B.

The only game played by B, C, and D is Hockey.

Analyzing the options: A) Basketball: Not played by B. B) Hockey: Played by B, C, and D. This is correct. C) Cricket: Not played by D. D) Football: Not played by C.

The final answer is B.

Logical Reasoning: Examine carefully the following statements and answer the three items that follow: Out of four friends A, B, C and D, A
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