Study the following information carefully and answer the given questions. Five ships (A, B, C, D, and E) are moored at Dock M, and their captains (P, Q, R, S, and T) are steering their respective ships. Each ship starts from the dock, moves in a specific direction, and covers a certain distance before reaching its final position which is named as ship's captain's name. Movements of the ships: I. Ship A, steered by Captain P, starts moving north and covers 5m, then turns left and moves 8m, finally turning right and moving 10m to reach its final position. II. Ship B, steered by Captain Q, moves east for 12m, then turns right and moves 7m, finally turning right again and moving 3m to its final position. III. Ship C, steered by Captain R, starts by moving south for 6m, then turns right and moves 5m, then turns left and moves 9m to its final position. IV. Ship D, steered by Captain S, moves west for 10m, then turns left and moves 4m, finally turning right and moving 6m to its final position. V. Ship E, steered by Captain T, starts moving north for 8m, then turns right and moves 10m, finally turning right again and moving 5m to its final position. Which of the following statements is true?

### Concept & Direction Sense Evaluate each statement by determining the final coordinates of the relevant ships relative to the starting point (0,0). North is positive y-axis, East is positive x-axis. ### Step-by-Step Solution * **Map Q (Ship B):** East 12m $(12, 0)$, right (south) 7m $(12, -7)$, right (west) 3m $(9, -7)$. Position $Q = (9, -7)$. * **Map T (Ship E):** North 8m $(0, 8)$, right (east) 10m $(10, 8)$, right (south) 5m $(10, 3)$. Position $T = (10, 3)$. * **Check statement (c):** Compare T to Q. T's x-coordinate (10) is greater than Q's (9), meaning it is further East. T's y-coordinate (3) is greater than Q's (-7), meaning it is further North. Thus, T is North-East of Q. This statement is true. * Let's briefly verify others: P is $(-8, 15)$, so it is North-West of Q, not North-East. ### Exam Strategy & Shortcut When checking multiple statements, start by evaluating the directional ones (like options a and c) before calculating complex shortest distances, as directional checks are often faster to deduce mentally. ### Common Pitfall Drawing the diagram inaccurately without paying attention to the relative lengths of the segments, leading to wrong visual conclusions about relative positions. ### Final Answer Therefore, the correct answer is **T is in north-east of Q.**