This question involves selecting a team of five members from a group of boys (P, Q, R, S, T) and girls (X, Y, Z) based on several criteria. We are given that S is a member of the team.

Analyzing Team Selection Constraints with S as a Member

We need to form a team of 5 members. The constraints are:

• S is selected.
• R and S have to be together. Since S is selected, R must also be selected. Team so far: {S, R}. We need 3 more members.
• S and T cannot be together. Since S is selected, T cannot be selected.
• S and Z cannot be together. Since S is selected, Z cannot be selected.
• Q cannot be put with P. This means we cannot have both P and Q in the team.

Based on these rules, the available members for the remaining 3 positions in the team are from the set {P, Q, X, Y}. We must exclude T and Z.

Evaluating Team Options

Let's check the given options against the derived rules:

• Option 1: PSXQY - This team includes both P and Q, violating the rule "Q cannot be put with P".
• Option 2: SRYZQ - This team includes Z, violating the rule "S and Z cannot be together".
• Option 3: TXRYS - This team includes T, violating the rule "S and T cannot be together".
• Option 4: RQSYX - This team includes R, Q, S, Y, and X.
  • It contains R and S. (Satisfied)
  • It does not contain T or Z. (Satisfied)
  • It contains Q but not P, so the rule "Q cannot be put with P" is satisfied.
  • The team size is 5. (Satisfied)
  This option meets all the specified criteria.

Conclusion

The only team that satisfies all the given conditions when S is selected is RQSYX.