Relative weights with an unknown – Among P, Q, R, S, T (all distinct weights): R is heavier than S but lighter than T; P is lighter than S. Who is the heaviest?

Introduction / Context:We have partial inequalities that rank some people but leave one (Q) unconstrained relative to the current maximum. The heaviest could be the known top of the chain or an unconstrained outlier.

Given Data / Assumptions:

• T > R > S.
• S > P (so T > R > S > P).
• No relation given for Q vs anyone.

Concept / Approach:From the chain, T is above R, S, P. However, Q could be heavier than T or lighter than anyone; nothing excludes Q being the heaviest.

Step-by-Step Solution:Chain without Q: T > R > S > P.Insert Q: no constraints → Q can be anywhere.

Verification / Alternative check:Construct two scenarios: (i) Q very light → T is heaviest; (ii) Q very heavy → Q is heaviest. Both satisfy all given constraints.

Why Other Options Are Wrong:“T” alone ignores the possibility Q > T; “Q” alone ignores T’s current lead without a contrary statement; “Data inadequate” is less precise than the correct disjunction acknowledging both possibilities.

Common Pitfalls:Assuming “no info on Q” implies average or middle placement; it does not.

Final Answer:Either T or Q