Which among the following should serve on Committee A?

Step 1: Analyze the given information and constraints

• Nine individuals: Z, Y, X, W, V, U, T, S, R.
• Three Committees: A, B, C.
• Each candidate serves on exactly one committee.
• Committee A has exactly one more member than Committee B.
• Committee C can have no members.
• Constraints on committee assignments:
  • Z, Y, X cannot serve on Committee A.
  • W, V, U cannot serve on Committee B.
  • T, S, R cannot serve on Committee C.
• Given condition: R is the only individual serving on Committee B.

Step 2: Deduce the implications of R being the only member of Committee B

• If R is the only member of Committee B, then Committee B has 1 member.
• Since Committee A has exactly one more member, Committee A must have 2 members.
• Total individuals = 9. Remaining members for Committee C = 9 - 1 - 2 = 6.

Step 3: Apply the constraints to identify potential members for Committee A

• R is already in Committee B.
• Z, Y, X cannot be in A → must be in C.
• W, V, U cannot be in B → must be in A or C.
• T, S, R cannot be in C. R is in B, so T and S must be in A.

Step 4: Determine the members of Committee A

• Committee A needs exactly 2 members.
• From constraints, T and S must be in Committee A.

Answer:

The individuals who should serve on Committee A are (D) T and S.