“Ram, Shyam, Rohit, Mohit, Rohan, Sohan, Mohan, Rakesh and Suresh are sitting around a circle facing the centre. Rohit is third to the left of Ram. Rohan is fourth to the right of Ram. Mohit is fourth to the left of Suresh who is second to the right of Ram. Sohan is third to the right of Shyam. Mohan is not an immediate neighbour of Ram.”

Who is fifth to the right of Rohan?

Correct Answer: Rakesh

Let us solve this step-by-step by determining the positions of all 9 people sitting around a circle facing the centre.

Step 1: Count the total number of people

There are 9 people in total: Ram, Shyam, Rohit, Mohit, Rohan, Sohan, Mohan, Rakesh, and Suresh.

We number 9 positions in a circle clockwise from 1 to 9.

Step 2: Place Ram and relatives positions

Let us place Ram at position 1.

Since everyone faces the centre:

- Moving right means moving counter-clockwise (increasing position numbers).

- Moving left means moving clockwise (decreasing position numbers).

1. "Rohit is third to the left of Ram."

Counting 3 positions to the left of Ram (position 1): 1 → 9 → 8 → 7.

So, Rohit is at position 7.

2. "Rohan is fourth to the right of Ram."

Counting 4 positions to the right of Ram (position 1): 1 → 2 → 3 → 4 → 5.

So, Rohan is at position 5.

3. "Suresh is second to the right of Ram."

Counting 2 positions to the right of Ram (position 1): 1 → 2 → 3.

So, Suresh is at position 3.

4. "Mohit is fourth to the left of Suresh."

Counting 4 positions to the left of Suresh (position 3): 3 → 2 → 1 → 9 → 8.

So, Mohit is at position 8.

Step 3: Determine remaining positions

Currently filled positions:

- Position 1: Ram

- Position 3: Suresh

- Position 5: Rohan

- Position 7: Rohit

- Position 8: Mohit

Vacant positions: 2, 4, 6, 9.

5. "Mohan is not an immediate neighbour of Ram."

Immediate neighbours of Ram (position 1) are position 9 and position 2. Thus, Mohan cannot be at position 2 or 9.

So, Mohan must be at position 4 or 6.

6. "Sohan is third to the right of Shyam."

This means: Position of Sohan = (Position of Shyam + 3) mod 9.

- If Shyam is at position 9, 3rd to the right is position 3 (occupied by Suresh) - Invalid.

- If Shyam is at position 6, 3rd to the right is position 9. Sohan = 9.

Let's verify: If Shyam = 6 and Sohan = 9, then Mohan (who cannot be at 2 or 9) takes position 4. The remaining position 2 goes to Rakesh.

Let's check the complete circular arrangement from position 1 to 9 (clockwise):

1: Ram

2: Rakesh

3: Suresh

4: Mohan

5: Rohan

6: Shyam

7: Rohit

8: Mohit

9: Sohan

Step 4: Answer the question

We need to find who is fifth to the right of Rohan.

Rohan is at position 5.

Counting 5 positions to the right (counter-clockwise / adding 5):

5 + 5 = 10 ≡ 1st position after 9, which is position 1, 2, 3, 4, 5 step-by-step:

1st right: Position 6 (Shyam)

2nd right: Position 7 (Rohit)

3rd right: Position 8 (Mohit)

4th right: Position 9 (Sohan)

5th right: Position 2 (Rakesh)

Therefore, Rakesh is fifth to the right of Rohan.