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?
Verbal Reasoning
Ranking Test
Difficulty: Medium
Choose an option
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AA
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BQ
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CCannot be determined
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DP
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EB
Answer
Correct Answer: Cannot be determined
Explanation
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:
1) Put B at the bottom (since P is not the shortest).2) Place P above B but below T (as given).3) Place T above P and B.4) A and Q are above T, but no order is specified between them.5) Scenario A: A > Q > T > P > B ⇒ tallest is A.6) Scenario B: Q > A > T > P > B ⇒ tallest is Q.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