NIMCET 2016 — Reasoning PYQ

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 largest possible team is G, F, J, A, D, E/ B

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 formed is G, F, J, A, D, E/ B
Hence, the correct answer is 6.