Direction and Distance questions for UPSC Prelims

A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office. In which direction does he walk initially from his house if his office is exactly in the North-East direction?

Two friends ‘X’ and ‘Y’ start running and they run together for 50 m in the same direction and reach a point. ‘X’ turns right and runs 60 m, while Y turns left and runs 40 m. Then ‘X’ turns left and runs 50 m and stops, while ‘Y’ turns right and runs 50 m and then stops. How far are the two friends from each other now?

A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km. She again turns left and drives 40 km, then she turns to her right and drives for another 5 km. She again turns to her right and drives another 30 km to reach her bank where she works. What is the shortest distance between her bank and her house?

‘A’ started from his house and walked 20 m towards East, where his friend B joined him. They together walked 10 m in the same direction. Then ‘A’ turned left while ‘B’ turned right and travelled 2 m and 8 m, respectively. Again ‘B’ turned left to travel 4 m followed by 5 m to his right to reach his office. ‘A’ turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?

Eight railway stations A, B, C, D, E, F, G and H are connected by one-way or two-way passages. One-way passages are C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are A-E, G-B, F-D and E-D. While travelling from C to H, which one of the following stations must be passed through?

Eight railway stations A, B, C, D, E, F, G and H are connected by one-way or two-way passages. One-way passages are C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are A-E, G-B, F-D and E-D. If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?

A person X was driving in a place where all roads ran either North-South or East-West, forming a grid. Roads are at a distance of 1 km from each other in parallel. He started at the intersection of two roads, drove 3 km North, 3 km West and 4 km South. Which further route could bring him back to his starting point, if the same route is not repeated?

Consider the following statements There are six villages ‘A’, ‘B’, ‘C’, ‘D’, ‘E’ and ‘F’. ‘F’ is 1 km to the West of ‘D’. ‘B’ is 1 km to the East of ‘E’. ‘A’ is 2 km to the North of ‘E’. ‘C’ is 1 km to the East of ‘A’. ‘D’ is 1 km to the South of ‘A’. Which three villages are in a line?