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

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46.

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

The answer is: C

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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:

  • B is selected
  • Y is rejected

Step 1: Choosing the males

  • B is selected, so we need at least one more male.
  • The remaining male options are A and C.
  • Since at least 2 males are required, we must include both A and C.
  • So, the team includes A, B, C, and one more female.

Step 2: Choosing the additional female player

  • Y is rejected, so we must choose from W, X, or Z.
  • B cannot play with W, 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, B, C, and X.

  • A, B, and C satisfy the condition of at least two males.
  • X does not have any conflicts with A, B, or C.

Correct Answer:

Option C: A, B, C, and X