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GATE DA 2026 Q8: Chess elimination puzzle: who never lost

Question

Rishi and Swathi are students of Class 5. Pavan and Tanvi are students of Class 4. Rishi and Pavan are boys. Swathi and Tanvi are girls. The four students played a total of three games of chess. The games were played one after another. A player who lost a game did not participate in any more games. It was observed that:

(i) the first game was the only game where two students of the same class played against each other,

(ii) the students of Class 5 won more games than the students of Class 4, and

(iii) the boys won two games and the girls won one game.

The student who did not lose any game is __________.

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 2/3 mark in GATE.
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Answer: D (official GATE 2026 final answer key)

Concept used: Logical deduction from constraints: three games eliminate three players.

First step: If Pavan–Tanvi played first, Class 5 would need both later wins, forcing a second same-class game; so Rishi–Swathi played first, and its winner must also win game 2 and then lose game 3 to a Class 4 student.

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Source: official GATE 2026 DA question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key

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