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.
What is Bindan’s position with respect to Farooq?

• A. 1st to the left of Farooq
• B. 2nd to the left of Farooq
• C. 4th to the left of Farooq
• D. 5th to the left of Farooq

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 A

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
\begin{itemize} \item Dinesh $\neq 3$ or $5 \implies$ Dinesh $= 2$ \item Akash $\neq 1$ or $5 \implies$ Akash $= 3$ \item Esha $= 5$ \end{itemize} \includegraphics[width=0.4\linewidth]{17.png}
Step 7: Determine Bindan's position with respect to Farooq.
Farooq is at Position 1
Bindan is at Position 6
In clockwise direction: 1 → 2 → 3 → 4 → 5 → 6
So from Farooq (1), moving counterclockwise (left), we reach Bindan (6) in one step
$$ \Rightarrow \text{Bindan is 1st to the left of Farooq} $$ Conclusion: $$ \boxed{\text{1st to the left of Farooq}} $$