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GATE 2025 BM – Question 8

General Aptitude · Analytical Aptitude: Logical Reasoning, Deduction and Analogy · 2 marks · MTA

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 1st round, 4th student behind P leaves the game. After 2nd round, 5th student behind Q leaves the game. After 3rd round, 3rd student behind V leaves the game. After 4th round, 4th student behind U leaves the game. Who all are left in the game after the 4th round?

Note: The figure shown is representative.

Diagram for GATE 2025 BM question 8
  1. P; T; Q; S
  2. V; P; T; Q
  3. W; R; Q; V
  4. Q; T; V; W

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Show answer and explanation

Correct answer: MTA

Explanation

The official key awards marks to all for this question. Under the natural reverse-direction counting, S leaves first and U leaves second, but round four then asks to count behind U even though U is already absent. Different conventions about the vacated position change the interpretation. The source options are retained and official MTA grading is used rather than imposing one inferred convention.

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