Directions: 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: A certain number of persons sit in a line facing north. Then, how many persons sit between P and V? I. P sits 3rd to the right of Q, who sits 4th from extreme end. Q is an immediate neighbour of both R and S. II. T sits 2nd to the left of U, who sits 3rd from the extreme end. There are as many persons sit between V and U as between U and W. III. Three persons sit between R and W. X sits 2nd from extreme left end. T sits between P and W.

### Concept & Logic For linear seating arrangements, fix the positions based on given distances from extreme ends. Use elimination to discard invalid left-right orientation setups. ### Step-by-Step Solution Let's assume the line faces North. **From Statement I:** * Q sits 4th from an extreme end. P is 3rd to the right of Q. * If Q is 4th from the left end (position 4), P is at position 7. * Q is between R and S. So R and S are at positions 3 and 5. **From Statement III:** * X sits 2nd from the extreme left end (position 2). * 3 persons sit between R and W. * If R is at 3, W would be at 7 (already occupied by P). Thus, R must be at 5, making S at 3. * If R is at 5, W must be at 9 (since position 1 is too close). * T sits between P(7) and W(9), so T is at 8. **From Statement II:** * T(8) sits 2nd to the left of U. This means U is at 10. * U is 3rd from the extreme right end. This makes the total number of persons 12. * Number of persons between V and U equals the number between U and W. W is 9, U is 10 (0 persons). So V must be adjacent to U on the other side, meaning V is at 11. * We now have exact positions: P is at 7, V is at 11. * The number of persons between P and V is 3 (occupying positions 8, 9, 10). * Note: Assuming Q was 4th from the right end leads to contradictions with T's placement between P and W. * All three statements are required to find the unique arrangement. ### Exam Strategy & Shortcut Start with absolute positions (like "4th from extreme end" and "2nd from extreme left"). This immediately anchors your grid. ### Common Pitfall Not testing both left and right extremes for the initial assumption. Always verify the other end to ensure only one valid arrangement exists. ### Final Answer Therefore, the correct answer is **Data in statements I, II and III together are sufficient to answer the question.**