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GATE CSE 2021 Set 2 Q10: Height ordering of six students from four observations

Question

Six students P, Q, R, S, T and U, with distinct heights, compare their heights and make the following observations.

Observation I: S is taller than R.

Observation II: Q is the shortest of all.

Observation III: U is taller than only one student.

Observation IV: T is taller than S but is not the tallest.

The number of students that are taller than R is the same as the number of students shorter than ______.

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 2/3 mark in GATE.
Show answer and explanation

Answer: C (official GATE 2021 final answer key)

Concept used: Build the complete order from the constraints.

First step: Q is last and U is second last; T > S > R and T is not tallest, so P is tallest: P > T > S > R > U > Q.

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Source: official GATE 2021 Set 2 CS question paper and final answer key, organised by IIT Bombay. Question paper · Answer key

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