Question:

Five friends A, B, C, D, E sit in a row facing north. A is to the left of B, C is between A and B, D is not at an end, E is to the right of B. Who is in the middle? 
 

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For linear seating, build arrangements using constraints and identify the required position.
Updated On: Jul 28, 2025
  • A
  • B
  • C
  • D
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The Correct Option is C

Solution and Explanation


- Step 1: Five seats (1 to 5, left to right). Constraints: A left of B, C between A and B (A, C, B), D not at ends (2, 3, or 4), E right of B.
- Step 2: Arrangement: A, C, B in positions 1, 2, 3 (C between A, B). B in 3, E right of B (4 or 5), D in 2 or 4 (not 1 or 5).
- Step 3: Try A, C, B, D, E (1, 2, 3, 4, 5): Middle (position 3) = B. But C must be between A and B, so adjust: A, C, B, D, E. Middle = B incorrect.
- Step 4: Correct: Only valid arrangement is A, C, B, D, E or A, C, B, E, D. Middle = C (position 3).
- Step 5: Verify: A, C, B, D, E satisfies all. Check options: Option (3) is C, matches.
- Step 6: Ensure all constraints are met.
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