There are eight members B, M, R, P, U, S, W and Q who are to be divided into two team 'Team A' and 'Team B' which consist of different number of team members . Each team must have more than two members and the following conditions are adhered to select a team
(I) If W is selected into a team, M must not be selected into that team
(II) B and R must always be selected into the same team
(III) If P is selected into team A, then Q must be selected into team B
(IV) Each of the eight members are selected into either one of the teams
(V) If U is selected to team A, then S must also be selected to team A
If team A has more members than team B, then which of the following are possible members of team B ?

Options

A. M, B, R
B. P, W, S
C. U, P, M
D. B, R, Q

Answer

C

Explanation

Since there are different number of members in team A and B the possibilites are

From the dues,
(I) W and M must be in different teams
(II) B and R must be in same team
(III) If P in team A, then Q will be in team B
(IV) If U in team A, then S will be in team A
If M, B, R are in team B then P will be in team A. But . if p is in team a then Q must be in team B. But team B does not have Q . Choice (A) is not a vaild team Similarly . P. W. S cannot be in team b `:.` (B) is also not a valid team
In (D) one among W and M is not present
`:.` (D) is not a valid team
(C) satifiles all the conditions