Question:medium

Five friends (A, B, C, D, and E) are sitting in a row. C is to the immediate right of A. D is at one end and B is between D and E. Who is in the middle?

Show Hint

  • Break down the problem into small pieces of information.
  • Use placeholders for positions in the row.
  • Consider different cases based on conditions like "D is at one end".
  • Combine fixed units (like "A C" together) with other conditions.
  • Check consistency of arrangements. The middle person in a row of 5 is the 3rd person.
Updated On: Jan 16, 2026
  • A
  • B
  • C
  • E
Show Solution

The Correct Option is D

Solution and Explanation

Five friends are seated in a row. Positions are represented by underscores: ____.
Given:

  • C is immediately to the right of A, forming the block (A C).
  • D occupies an end position (leftmost or rightmost).
  • B is situated between D and E, indicating sequences D B E or E B D.

Combining the information: 
Scenario 1: D is at the leftmost position.
D ____ 
As B is between D and E, the sequence begins D B E: 
D B E ____
The remaining slots are filled by (A C). 
Resulting arrangement: D B E A C. 
Verification: Condition 1 (A C together) is met. 

Positions:

  • 1: D
  • 2: B
  • 3: E
  • 4: A
  • 5: C

The middle occupant (position 3) is E. 
Scenario 2: D is at the rightmost position.
____D 
As B is between D and E, the sequence ends E B D (read left-to-right): 
__ ___E B D 
The remaining slots are filled by (A C). 
Resulting arrangement: A C E B D. Positions:

  • 1: A
  • 2: C
  • 3: E
  • 4: B
  • 5: D

The middle occupant (position 3) is E. In both valid configurations, E occupies the middle position. 
\[ \boxed{\text{E}} \]

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