Tallest person cannot be fixed: P, Q, T, A, and B have different heights. T is taller than P and B, but shorter than A and Q. P is not the shortest. Who is the tallest?

Introduction / Context:The relations place T below both A and Q, and above P and B. However, there is no comparison between A and Q. With all heights distinct, the tallest must be either A or Q, but we cannot tell which.

Given Data / Assumptions:

• T > P and T > B.
• T < A and T < Q.
• P is not the shortest (so B may be the shortest).
• All heights are distinct.

Concept / Approach:Construct consistent orders. Since A and Q are both above T and un-compared with each other, each of the two can be the global maximum in some valid arrangement.

Step-by-Step Illustration:

Verification / Alternative check:Both scenarios satisfy all statements, proving non-uniqueness.

Why Other Options Are Wrong:

• A or Q alone: Either could be tallest; not uniquely determined.
• P or B: Both lie below T explicitly; neither can be tallest.

Common Pitfalls:Forcing an order between A and Q without evidence.

Final Answer:Cannot be determined