Question:
Six students scored different marks in an exam. A scored more than B but less than C. D scored more than E but less than B. F scored more than A but less than C. Who scored the third highest?
Six students scored different marks in an exam. A scored more than B but less than C. D scored more than E but less than B. F scored more than A but less than C. Who scored the third highest?
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When solving ranking puzzles, arrange statements into partial order chains and consolidate them step-by-step into a complete sequence.
Updated On: Jun 8, 2025
- A
- B
- F
- D
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The Correct Option is A
Solution and Explanation
From the statements:
1. A > B but A < C → C > A > B
2. D > E but D < B → B > D > E
3. F > A but F < C → C > F > A
We now build the overall ranking:
From 1 and 3, since C > F > A and A > B
→ Chain becomes: C > F > A > B
Also from 2: B > D > E
Final chain: C > F > A > B > D > E
So the third highest score is by student A.
1. A > B but A < C → C > A > B
2. D > E but D < B → B > D > E
3. F > A but F < C → C > F > A
We now build the overall ranking:
From 1 and 3, since C > F > A and A > B
→ Chain becomes: C > F > A > B
Also from 2: B > D > E
Final chain: C > F > A > B > D > E
So the third highest score is by student A.
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