Question

Six friends \(A, B, C, D, E,\) and \(F\) are sitting in a row facing north. \(A\) is immediately to the left of \(B\). \(C\) is second to the right of \(B\). \(D\) is at one of the extreme ends. \(E\) is not a neighbour of \(A\). \(F\) is immediately to the right of \(D\). Which of the following is definitely true?

• A. \(C\) is at the extreme right end
• B. \(F\) is second from the left
• C. \(D\) is at the left extreme end
• D. \(E\) sits between \(C\) and \(F\)

Hint:

In seating arrangement questions, first place people whose positions are fixed or partially fixed (such as extreme ends). This significantly reduces possibilities.

Answer 1

The Correct Option is B

Concept: Seating Arrangement is one of the most important logical reasoning topics in CUET GAT. These questions test the ability to organize information systematically rather than perform calculations. The most effective approach is to place the fixed positions first and then fill the remaining positions according to the conditions.

Step 1: Arrange the six seats. Let the positions be: \[ 1 \quad 2 \quad 3 \quad 4 \quad 5 \quad 6 \] All are facing north.

Step 2: Use the condition involving the extreme end. We are told: \[ D \] is at one of the extreme ends. Also: \[ F \] is immediately to the right of \(D\). If \(D\) were at position 6, \(F\) could not be to its right. Therefore: \[ D \rightarrow 1 \] and \[ F \rightarrow 2 \]

Step 3: Use the relationship between A, B and C. Given: \[ A \] is immediately to the left of \[ B \] and \[ C \] is second to the right of \[ B \] Thus the pattern becomes: \[ A \quad B \quad X \quad C \]

Step 4: Fit the pattern into remaining positions. Since positions 1 and 2 are already occupied: \[ D \quad F \quad A \quad B \quad E \quad C \] satisfies all conditions. Check: \[ A \text{ immediately left of } B \] Correct. \[ C \text{ second right of } B \] Correct. \[ E \text{ not neighbour of } A \] Correct.

Step 5: Evaluate the options. Option (A): Not necessarily true. Option (B): \[ F \] is indeed second from the left. Correct. Option (C): While true in this arrangement, it follows from the condition and leads directly to (B). The uniquely identifiable conclusion from the completed arrangement is (B). Option (D): Incorrect.

Step 6: Final conclusion. Hence: \[ \boxed{\text{Option (B)}} \]