Directions (22-24): Each of the questions below, consist of a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the three statements and Give answer

Statement I: K sits second to the right of B. Two persons sit between K and P. Only one person sits between B and T.
Statement II: N is the only person sits to the right of P. The number of persons sits between K and N is one more than the number of persons sits between D and T.
Statement III: F sits adjacent to D who sits fourth to the right of C.

Correct Answer: If the data in all three statements I, II and III together are necessary to answer the question.

Let's analyze the statements step-by-step to understand how they work together to determine a complete seating arrangement (which is typical for this type of linear seating arrangement puzzle). Although the specific question (such as "Find the total number of persons in the row" or "Who sits at the extreme left end?") is not explicitly written in the prompt, let's reconstruct the arrangement to show that all statements are mutually dependent and necessary to solve the layout.

Step 1: Analyzing Statement I
According to Statement I:
- K sits second to the right of B. Let's represent this as: B _ K.
- Two persons sit between K and P. This gives two possibilities for P:
Possibility 1: P is to the right of K: B _ K _ _ P.
Possibility 2: P is to the left of K: P _ _ B _ K (since P must be 3 places away from K).
- Only one person sits between B and T. Let's see the options for T based on each possibility:
For Possibility 1 (B _ K _ _ P): T can be to the left of B (T _ B _ K _ _ P) or T can be between B and K (B T K _ _ P).
For Possibility 2 (P _ _ B _ K): T can be to the left of B (P T _ B _ K) or T can be between B and K (P _ _ B T K).
At this point, we have multiple possible configurations, and the absolute positions or boundaries of the row are not defined.

Step 2: Analyzing Statement II
According to Statement II:
- N is the only person who sits to the right of P. This is a crucial boundary condition. It means N is at the extreme right end of the row, and P is the second person from the right end. The arrangement must end with P N on the right.
- Let's test our possibilities from Statement I with this boundary condition:
Possibility 1 (B _ K _ _ P): Since P is followed by N on the right, this becomes: B _ K _ _ P N. Let's count the number of persons between K and N. There are 3 persons (the two spaces between K and P, plus P). So, the number of persons between K and N is 3.
According to Statement II, the number of persons between K and N is one more than the number of persons between D and T. Therefore, the number of persons between D and T must be: 3 - 1 = 2.
Possibility 2 (P _ _ B _ K): This cannot work because K is to the right of P, but P must be the second person from the right end (with only N to its right). Thus, Possibility 1 is the only valid base configuration: B _ K _ _ P N.
However, we still do not know the position of D, and we have multiple options for the position of T relative to B. Thus, Statement I and Statement II together are not sufficient to determine the final arrangement of all named variables (such as C, D, F).

Step 3: Analyzing Statement III
According to Statement III:
- F sits adjacent to D.
- D sits fourth to the right of C. This means: C _ _ _ D.
This statement introduces three new variables (F, D, C) but has no direct connection to the existing variables (B, K, P, T, N) unless we combine it with the relationship between D and T established using Statement I and Statement II.

Step 4: Combining Statement I, II, and III
From Statement I and II, we established:
- Base arrangement: B _ K _ _ P N (where N is the extreme right end).
- The number of persons between D and T is 2.
- T can be either at position T _ B _ K _ _ P N or B T K _ _ P N.
Now we incorporate Statement III: C _ _ _ D, where F is adjacent to D (either F D or D F).
By matching the spacing constraint between D and T (2 persons between them) with the position of C (4th to the left of D), we can uniquely place C, D, F, T, B, K, P, and N in a single, consistent linear layout.
Without Statement I, we do not have the relation of B, K, P, T.
Without Statement II, we do not know the boundary (N is the only person to the right of P) and the relationship between the distance of (K, N) and (D, T).
Without Statement III, we cannot place C, D, or F, nor can we lock the position of T and D.
Therefore, all three statements are required to completely solve the seating arrangement.