Question

Akash, Bindan, Chandan, Dinesh, Esha, and Farooq are seated around a circular table facing the center. The following conditions are given:
1. Chandan is third to the right of Farooq.
2. Bindan is second to the right of Chandan.
3. Dinesh is not sitting next to Chandan.
4. Akash is not sitting next to Bindan.
Who is sitting between Bindan and Chandan?

• A. Farooq
• B. Esha
• C. Dinesh
• D. Akash

Hint:

In circular seating arrangements, fix one person first and build the rest using the constraints. Always verify all conditions once an arrangement is made.

Answer 1

The Correct Option is B

Step 1: Fix positions in a circular arrangement.
Label the six positions around the circular table clockwise as:
Position 1, Position 2, Position 3, Position 4, Position 5, Position 6. Step 2: Use condition 1: Chandan is third to the right of Farooq.
Assume Farooq is at Position 1. Then Chandan is at Position 4 (third to the right). Step 3: Use condition 2: Bindan is second to the right of Chandan.
Chandan is at Position 4 → Bindan is at Position 6 (second to the right). So far:
Farooq = Position 1
Chandan = Position 4
Bindan = Position 6
Step 4: Apply condition 3: Dinesh is not sitting next to Chandan.
Chandan is at Position 4 → neighbors are Positions 3 and 5 $$ \Rightarrow \text{Dinesh cannot be at Position 3 or 5} $$ Step 5: Apply condition 4: Akash is not sitting next to Bindan.
Bindan is at Position 6 → neighbors are Positions 5 and 1 $$ \Rightarrow \text{Akash cannot be at Position 5 or 1} $$ Step 6: Assign remaining people to positions:
Remaining positions: 2, 3, 5
Remaining people: Akash, Dinesh, Esha
From above:
\begin{itemize} \item Dinesh $\neq 3$ or $5$ $\Rightarrow$ Dinesh $= 2$ \item Akash $\neq 1$ or $5$ $\Rightarrow$ Akash $= 3$ \end{itemize} Esha = 5
Final arrangement:
\includegraphics[width=0.4\linewidth]{18.png}
Step 7: Determine who is sitting between Bindan and Chandan.
Bindan is at Position 6
Chandan is at Position 4
\ In clockwise direction, the person between them is at Position 5
From the final arrangement, Position 5 is occupied by Esha Conclusion: $$ \boxed{\text{Esha}} $$