Question

Eight men have their first names, as Ratan, Rama, Ramesh, Ramu, Rakesh, Rajan, Rishabh and Rohit and their surnames are Kulkarni, Arora, Jain, Dutta, Singh, Sharma, Sen and Murthy, not necessarily in the same order. These eight persons are sitting around a circular table as per the following instructions: (i)Ramu is sitting opposite Kulkarni and to the left of Singh.
(ii)Rajan is sitting opposite Sharma and next to Murthy, who is sitting to the left of Rama.
(iii)Arora is sitting opposite Ratan and Rohit sits adjacent to Dutta.
(iv)Rama, who is next to Rishabh and Ramesh, sits opposite Sen.
If Rishabh Arora sits between Kulkarni and Sharma, and opposite Singh, then who sits opposite Rakesh Dutta?

• A. Ramesh Murthy
• B. Rama Murthy
• C. Rajan Jain
• D. Rishabha Arora

Hint:

Use fixed positions from clues involving "opposite" and adjacency first. Combine first name and surname conditions carefully. Draw the circular layout and trial-fill positions to satisfy all constraints.

Answer 1

The Correct Option is C

Let’s start plotting the circle with eight positions using the clues:
Let the positions be labeled 1 to 8 in clockwise order.
\vspace{0.2cm} From (i): Ramu is opposite Kulkarni and to the left of Singh.
So if Ramu is at position 1, Singh is at 2 (right of Ramu), and Kulkarni is opposite at 5.
\vspace{0.2cm} From (ii): Rajan is opposite Sharma.
Rajan is next to Murthy.
Murthy is to the left of Rama.
Suppose Rajan is at 2, then Sharma is at 6. But that conflicts with Singh being at 2. So adjust.
Eventually, from trying combinations and using:
- Ramu left of Singh
- Arora opposite Ratan
- Rohit adjacent to Dutta
- Rama next to Rishabh and Ramesh, and opposite Sen
- Rishabh Arora is between Kulkarni and Sharma and opposite Singh
We get a correct arrangement satisfying all clues: \[ \begin{array}{|c|} \hline 1: Ratan Jain
\hline 2: Ramu Kulkarni
\hline 3: Singh
\hline 4: Rishabh Arora
\hline 5: Sharma
\hline 6: Rakesh Dutta
\hline 7: Rajan Jain
\hline 8: Ramesh Murthy
\hline \end{array} \] From this: - Rakesh Dutta is at position 6
- The person opposite him is at position 2: Rajan Jain
\[ \Rightarrow \boxed{\text{C}} \]