PU-MET : Panjab University MBA Entrance Exam with MCQ Answers 2024

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45.

Read the following passage and answer the three items that follow :

A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 player are available : males A, B and C; and females W,X,Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.

If Y is selected and B is rejected, the team will consist of which one of the following groups?
A: A, C, W and Y
B: A, C, X and Y
C: A, C, Y and Z
D: A, W, Y and Z

The answer is: B

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Explanation

Let's analyze the given conditions step by step.

Given Constraints:

  1. Available Players: 
    • Males: A, B, C
    • Females: W, X, Y, Z
  2. Team Composition: 
    • Must have 4 players
    • Must have at least 2 males
    • All selected players must be able to play with each other.
  3. Incompatibilities: 
    • B cannot play with W
    • C cannot play with Z
    • W cannot play with Y

 

Given Conditions:

  • Y is selected
  • B is rejected

Step 1: Choosing the males

  • Since B is rejected, the two males must be A and C (as at least 2 males are required).
  • So, the team includes: A, C, Y, and one more female.

Step 2: Choosing the additional female player

  • Y is already in the team
  • We must choose one more female from W, X, or Z
  • W cannot play with Y, so W cannot be selected.
  • C cannot play with Z, so Z cannot be selected.
  • The only remaining option is X.

Step 3: Verifying the team

The team consists of A, C, X, and Y.

  • A and C (males) satisfy the condition of at least two males.
  • There are no conflicts among A, C, X, and Y.

Correct Answer:

Option B: A, C, X, and Y