Correct Answer - Option 2 : H
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.
The team of size six are :
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)
The team of six-person are:
1) J, F, E, G, A, D
2) J, F, G, B, A, D
These are the only teams of size 6.
Therefore, we see H cannot be included in the team of size 6.
Hence, the correct answer is H.
