Six persons—A, B, C, D, E, and F—sit around a circular table facing the center. What is the position of C with respect to E?

Analyze the following statements to determine if the data is sufficient to answer the question:

Statement I: B sits second to the right of D. A is not an immediate neighbour of B.

Statement II: B sits second to the right of A who is not an immediate neighbour of C.

Statement III: One person sits between A and E who is not an immediate neighbour of D.

Which of the following options is correct?

Question

Six persons—A, B, C, D, E, and F—sit around a circular table facing the center. What is the position of C with respect to E?

Analyze the following statements to determine if the data is sufficient to answer the question:

Statement I: B sits second to the right of D. A is not an immediate neighbour of B.

Statement II: B sits second to the right of A who is not an immediate neighbour of C.

Statement III: One person sits between A and E who is not an immediate neighbour of D.

Which of the following options is correct?

Accepted Answer

**Solution:**

We need to find the position of C with respect to E using the given statements.

---

**Step 1: Analyze Statement I alone**
- B sits second to the right of D.
- A is not an immediate neighbour of B.

From this, we can place B relative to D, but we have no information about E or C's position. Hence, Statement I alone is insufficient.

---

**Step 2: Analyze Statement II alone**
- B sits second to the right of A.
- A is not an immediate neighbour of C.

This gives a relation between A and B and a negative relation between A and C, but no information about E or C's position relative to E. So, Statement II alone is insufficient.

---

**Step 3: Analyze Statement III alone**
- One person sits between A and E.
- E is not an immediate neighbour of D.

This gives a relation between A and E and a negative relation between E and D, but no information about C or B. So, Statement III alone is insufficient.

---

**Step 4: Analyze Statements II and III together**
- From Statement II: B is second to the right of A; A is not an immediate neighbour of C.
- From Statement III: One person sits between A and E; E is not an immediate neighbour of D.

Using these two statements:

- Place A at any seat.
- B is second to the right of A.
- Since one person is between A and E, E is either second to the right or second to the left of A.
- A is not an immediate neighbour of C, so C cannot be adjacent to A.

By placing these constraints, we can deduce the exact position of C with respect to E.

---

**Step 5: Analyze Statements I and III together**
- Statement I relates B and D, and A and B.
- Statement III relates A and E, and E and D.

However, no information about C's position relative to E or others is given. So, these two are insufficient.

---

**Step 6: Analyze all three statements together**
- While all three statements together give complete information, since Statements II and III alone are sufficient, adding Statement I is not necessary.

---

**Conclusion:**
Only Statements II and III together are sufficient to determine the position of C with respect to E.

**Answer:** (b) Statements II and III together are sufficient

Answer

Answer

Answer

Answer