GATE 2026 DA – Question 8
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 __________.
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Show answer and explanation
Correct answer: (D) Tanvi
Explanation
The first game is between two students of one class, and all later games are between a Class 5 and a Class 4 student. If Pavan played Tanvi in game 1, the winner would have to face Rishi or Swathi in game 2 and the other Class 5 student would then have to be played in game 3, which is a same-class game, so game 1 was Rishi against Swathi. If Swathi won it, the boys would need both of the remaining wins, but only Pavan is left among the boys and he could not play Tanvi in game 3, so Rishi won game 1. Rishi then beat Pavan in game 2 (two boys' wins in all), and in game 3 Tanvi beat Rishi, which is the girls' only win. Class 5 won 2 games and Class 4 won 1. Swathi lost game 1, Pavan lost game 2 and Rishi lost game 3, so Tanvi never lost.