GATE DA Logic Previous Year Questions (PYQs): Chapter-wise Weightage and Solved Questions

    GATE DA Logic: 2 chapters, 0 practice questions and one solved question from each chapter.

    Logic Chapter Matrix

    ChapterPYQsShare of unit PYQsPractice questions
    Logical Reasoning and Constraint Deduction00%0
    Propositional Logic and Logical Equivalence00%0

    One Solved Question from Each Logic Chapter

    Question 1 · Analytical Aptitude MCQ
    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 __________.
    1. A.

      Pavan

    2. B.

      Rishi

    3. C.

      Swathi

    4. D.

      Tanvi

    Correct Answer:

    D

    Step-by-Step Solution

    Key idea: This is a constraint-based sequencing and elimination question, recognizable by the sequential games, elimination rules, and conditions on wins/classes.

    Step 1: Understand the game format. There are 4 students and 3 games. A loser is eliminated. For all 4 students to play, the format must be: Game 1 (A vs B), Game 2 (Winner of G1 vs C), Game 3 (Winner of G2 vs D).

    Step 2: Use condition (i). Game 1 is the ONLY game where two students of the same class played. The same-class pairs are (Rishi, Swathi) in Class 5 and (Pavan, Tanvi) in Class 4. Thus, Game 1 must be either (R, S) or (P, T).

    Step 3: Test if Game 1 is (P, T). If Class 4 plays each other in G1, Class 4 wins G1. Condition (ii) states Class 5 won more games than Class 4. Since there are 3 games total, Class 5 must win 2 and Class 4 must win exactly 1. This means Class 5 must win G2 and G3. If Class 5 wins G2, the winner is R or S. Then Game 3 would be (R or S) vs the remaining (S or R), which is a same-class game. This violates condition (i). Thus, Game 1 cannot be (P, T).

    Step 4: Test if Game 1 is (R, S). Game 1 is R vs S. Class 5 wins G1. To satisfy the quotas (Class 5 wins 2, Class 4 wins 1; Boys win 2, Girls win 1), Rishi (Boy) must win G1. If Swathi won, we would need 2 Boy wins from the remaining games, forcing Class 4 to win 2 games, violating (ii). So Rishi wins G1.

    Step 5: Determine Game 2 and 3. Rishi plays Game 2 against Pavan or Tanvi. If Rishi loses G2, the Class 4 student wins, and Class 4 would end up winning 2 games total (violating ii). Thus, Rishi must win G2.

    Step 6: Now Rishi has won G1 and G2 (2 Boy wins, 2 Class 5 wins). The quotas for Boys and Class 5 are fully met. Therefore, Game 3 must be won by a Girl from Class 4 to satisfy the remaining quotas (1 Girl win, 1 Class 4 win).

    Step 7: Game 3 is Rishi vs Tanvi. Tanvi must win. Since Tanvi won her only game and didn't play before, she never lost any game.

    Answer: D

    chapter
    GATE DA Logic Previous Year Questions (PYQs): Chapter-wise Weightage and Solved Questions

    GATE DA Logic: 2 chapters, 0 practice questions and one solved question from each chapter.

    A question from this chapter

    Question 1
    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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