A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question.

Question:

Six persons A, B, C, D, E, and F are sitting around a circular table, all facing the center. How many people sit between B and C when counted from the left of B?

 

Statements:

(I) D is sitting second to the right of A, and only two persons sit between D and C. F is neither an immediate neighbor of C nor sits opposite to A.

(II) The person sitting immediately to the right of E is not B.

Given: Six persons A, B, C, D, E, and F are sitting around a circular table, all facing the center.

Statements:

(I) D is sitting second to the right of A, and only two persons sit between D and C. F is neither an immediate neighbor of C nor sits opposite to A.

Here, position is B is not known yet, therefore people sitting between B and C when counted from the left of B cannot be determined.

(II) The person sitting immediately to the right of E is not B.

Here, position is B and C is not known yet, therefore people sitting between B and C when counted from the left of B cannot be determined.

Combining (I) and (II) D is sitting second to the right of A, and only two persons sit between D and C. F is neither an immediate neighbor of C nor sits opposite to A. The person sitting immediately to the right of E is not B.

Here, three people sit between B and C when counted from the left of B.

Thus, the data in both the statements I and II are together necessary to answer the question.

Hence, "Option 5" is the correct answer.