GATE EC 2025 Set 1 — Question 8
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumNumerical Relations & ReasoningAnalytical AptitudeGeneral Aptitude
General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
Last updated
Question
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction. After the round, student behind P leaves the game. After round, student behind Q leaves the game. After round, student behind V leaves the game. After round, student behind U leaves the game. Who all are left in the game after the round?Note: The figure shown is representative.
- A.P; T; Q; S
- B.V; P; T; Q
- C.W; R; Q; V
- D.Q; T; V; W
Answer checking is unavailable for this question. You can review the published solution without a score.
Correct answer
(MTA)
Solution
1.Initial Clockwise Order: P, R, T, Q, S, V, U, W.
2.Direction of Motion: The students move forward in a clockwise direction. Therefore, a student "behind" another is in the counter-clockwise direction relative to the direction of motion.
3.Round 1: student behind P (counter-clockwise). Counting 4 steps from P: W(1), U(2), V(3), S(4). S leaves.
4.Round 2: student behind Q (counter-clockwise). Remaining students: P, R, T, Q, V, U, W. Counting 5 steps from Q: T(1), R(2), P(3), W(4), U(5). U leaves.
5.Round 3: student behind V (counter-clockwise). Remaining students: P, R, T, Q, V, W. Counting 3 steps from V: Q(1), T(2), R(3). R leaves.
6.Round 4: student behind U (using U's original position). Remaining students: P, T, Q, V, W. Counting 4 steps from U's position: V(1), Q(2), T(3), P(4). P leaves.
7.Final Remaining Students: Q, T, V, W. This matches option (D).
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Analytical Aptitude
2026 Set 1 Q1Among the following options, the antonym of the word ‘nocturnal’ is _________.2026 Set 1 Q2The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The…2026 Set 1 Q3The figure below has exactly three intersecting line segments with a rectangular portion …2026 Set 1 Q4Real numbers , , and (all greater than 1) satisfy…2026 Set 1 Q5The following observation is made about the scores obtained by 100 students in an exam: 'For each…