Eight persons - A, B, C, D, E, F, G and H sit around a square table such that four of them sit at the corners of the table and the remaining four sit at the middle of the sides of the table (not necessarily in the same order). All of them face towards the centre. Find who among the following sits third to the right of H?

Statements:

I. E is an immediate neighbour of G who sits second to the left of H. A sits to the immediate left of E.

II. The number of persons sitting between H and C when counted to the left of H is the same as the number of persons sitting between F and B when counted to the right of F.

III. F and D both didn’t sit at the middle of the side. F sits second to the left of D. F doesn’t sit adjacent to G.

Based on the above, choose the correct option regarding the sufficiency of the statements to answer the question.

Question

Eight persons - A, B, C, D, E, F, G and H sit around a square table such that four of them sit at the corners of the table and the remaining four sit at the middle of the sides of the table (not necessarily in the same order). All of them face towards the centre. Find who among the following sits third to the right of H?

Statements:

I. E is an immediate neighbour of G who sits second to the left of H. A sits to the immediate left of E.

II. The number of persons sitting between H and C when counted to the left of H is the same as the number of persons sitting between F and B when counted to the right of F.

III. F and D both didn’t sit at the middle of the side. F sits second to the left of D. F doesn’t sit adjacent to G.

Based on the above, choose the correct option regarding the sufficiency of the statements to answer the question.

Accepted Answer

**Solution:**

We need to find who sits third to the right of H around a square table with 8 persons sitting such that 4 are at corners and 4 at the middle of sides, all facing the center.

**Step 1: Analyze Statement I**
- G sits second to the left of H.
- E is an immediate neighbour of G.
- A sits immediately to the left of E.

Since all face the center, the direction 'left' is counterclockwise.

From this, we can partially place G and E relative to H and A relative to E.

However, this alone does not fix the exact positions of all, especially who is third to the right of H.

**Step 2: Analyze Statement II**
- Number of persons between H and C to the left of H equals the number of persons between F and B to the right of F.

This is a comparative statement about spacing but does not give fixed positions.

Alone, this is insufficient to determine the exact seating.

**Step 3: Analyze Statement III**
- F and D do not sit at the middle of the sides (so they must be at corners).
- F sits second to the left of D.
- F is not adjacent to G.

This helps fix the positions of F and D relative to each other and restricts their seating to corners.

**Step 4: Combine Statements I and III**
- From I, we have relative positions of G, E, A, and H.
- From III, we know positions of F and D and their relation to G.

Using these, we can arrange the 8 persons around the table satisfying all conditions.

**Step 5: Determine who sits third to the right of H**
- Since all face the center, right is clockwise.
- Counting three seats clockwise from H in the arrangement derived from I and III gives the person sitting third to the right of H.

**Step 6: Statement II is not necessary**
- The arrangement can be uniquely determined using I and III.

**Answer:** The data in statements I and III together are sufficient to answer the question.

Hence, option (c) is correct.

Answer

Answer

Answer