Q1 · hard · AI-verified
A train starts from station A and moves 15 km East, then turns right and moves 8 km South, then turns left and moves 12 km East, then turns left and moves 16 km North. What is the shortest distance between the starting point and final position?
- 29 km
- 27 km
- 31 km
- 35 km
Q2 · hard · AI-verified
A maintenance worker starts from point X, walks 24 m East to point Y, then 7 m North to point Z, then walks diagonally South-West to return to point X. What is the length of the diagonal path from Z to X?
- 31 m
- 27 m
- 23 m
- 25 m
Q3 · hard · AI-verified
A circular railway yard has 8 equally spaced gates. Starting from gate 1 and moving clockwise, a security guard reaches gate 5. He then moves counter-clockwise to gate 2, then clockwise to gate 7. What is the minimum number of gates he must pass to return to gate 1?
- 3
- 1
- 2
- 4
Q4 · hard · AI-verified
Two parallel railway tracks run East-West. A worker starts from track A, walks 60 m North perpendicular to reach track B, then walks 80 m East along track B, then walks perpendicular 60 m South back to track A. What is his displacement from the starting point?
- 80 m East
- 100 m North-East
- 60 m North
- 140 m East
Q5 · hard · AI-verified
From his house, Mohan walks 50m towards North-East, then 70m towards North-West, then 50m towards South-West, and finally 70m towards South-East. Where is Mohan now with respect to his house?
- At his house
- 50m North of his house
- 70m West of his house
- 100m South of his house