Compass-direction movement and shortest-path problems.
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Q1 · Direction and Distance · MEDIUM
Ramesh walks 8 m towards North, then he turns right and walks 6 m. After that he turns right again and walks 12 m. Finally, he turns left and walks 4 m. How far and in which direction is he now from his starting point?
Q2 · Direction and Distance · EASY
A person walks 15 m towards East from point A to point B. Then he turns left and walks 8 m to reach point C. From point C, he walks 15 m towards West to reach point D. What is the shortest distance between point A and point D?
Q3 · Direction and Distance · MEDIUM
Priya starts from her home and walks 40 m towards South. She then turns right and walks 30 m, then turns right again and walks 70 m. She finally turns left and walks 20 m to reach her office. What is the shortest distance between her home and office?
Q4 · Direction and Distance · EASY
Ajay starts walking from his house towards North and covers 120 m. He then turns left and walks 160 m. Finally, he turns left again and walks 120 m to reach a park. What is the shortest distance between his house and the park, and in which direction is the park from his house?
Q5 · Direction and Distance · HARD
Sneha walks 10 m towards North from point P and reaches point Q. From Q, she walks 6 m towards East and reaches point R. From R, she walks 26 m towards South and reaches point S. From S, she walks 12 m towards West and reaches point T. She then walks 8 m towards North and reaches point U. What is the shortest distance between point P and point U?