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Comprehension

A team must be selected from the ten portable players A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and J are forwards, B, G and H are point guards and D, F and I are defenders.

  • The team must have at least one forward, one point guard and one defender.
  • If the team includes J, it must also include F.
  • The team must include E or B, but not both.
  • If the includes G, it must also include F.
  • The team must include exactly one among C, G and I.
  • C and F cannot be members of the same team.
  • D and H cannot be members of the same team.
  • The team must include both A and D or neither of them.
  • There is no restriction on the number of members in the team.

1. 4
2. 3
3. 6
4. More than 6

1 Answer

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Best answer
Correct Answer - Option 3 : 6

Given,

A team must be selected from the ten portable players A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and J are forwards, B, G and H are point guards and D, F and I are defenders.

  • The team must have at least one forward, one point guard and one defender.
  • If the team includes J, it must also include F.
  • The team must include E or B, but not both.
  • If the includes G, it must also include F.
  • The team must include exactly one among C, G and I.
  • C and F cannot be members of the same team.
  • D and H cannot be members of the same team.
  • The team must include both A and D or neither of them.
  • There is no restriction on the number of members in the team.

If G is in any team then the possibility of the player get selected in the team is :

G, F, J → If the team includes J, it must also include F, If the includes G, it must also include F and the team must include exactly one among C, G and I.

G, F, J, A, D →The team must include both A and D or neither of them and D and H cannot be members of the same team.

G, F, J, A, D, E/ B → The team must include E or B, but not both and C and F cannot be members of the same team.

The team must have at least one forward, one point guard and one defender  → G ( point guards), J (forward) and F (Defender)

Maximum size of the team that includes G is 6.

The team formed is G, F, J, A, D, E/ B

Hence, the correct answer is 6.

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