Q.1 A person walks 3 km north, then turns east and walks 4 km. What is the shortest distance from the starting point?
3 km
4 km
5 km
7 km
Explanation - The path forms a right-angled triangle with sides 3 km and 4 km, so the hypotenuse = √(3² + 4²) = 5 km.
Correct answer is: 5 km
Q.2 A man walks 10 m north, then 6 m west, and finally 8 m south. How far is he from the starting point?
4 m
6 m
10 m
8 m
Explanation - Net movement north = 10 - 8 = 2 m north, west = 6 m. Distance = √(2² + 6²) = √40 ≈ 6.3 m ≈ 6 m.
Correct answer is: 6 m
Q.3 A person facing east turns 90° right, then 180° left, then 90° right again. Which direction is he facing now?
North
East
South
West
Explanation - Starting east → right = south → 180° left = north → right = east → correction: last right from north = east? Wait, fix: east→right(south)→left180°(north)→right(east). Correct direction: East.
Correct answer is: South
Q.4 Rita walks 2 km north, 3 km east, then 1 km south. What is her final position relative to the start?
2 km east
2 km north-east
3 km east and 1 km north
2 km west
Explanation - Net north movement = 2 - 1 = 1 km, east = 3 km. So position: 3 km east, 1 km north.
Correct answer is: 3 km east and 1 km north
Q.5 A person faces north. He turns 270° clockwise. Which direction is he facing now?
West
South
East
North
Explanation - 270° clockwise turn from north = west.
Correct answer is: West
Q.6 A man walks 5 km east, then 12 km north. What is his distance from the starting point?
13 km
12 km
10 km
17 km
Explanation - By Pythagoras: √(5² + 12²) = 13 km.
Correct answer is: 13 km
Q.7 A person moves 4 m north, 3 m west, 4 m south, and 3 m east. How far is he from the start?
0 m
2 m
4 m
6 m
Explanation - Net movement cancels out; he returns to the starting point.
Correct answer is: 0 m
Q.8 Facing west, a man turns 45° clockwise, then 135° anticlockwise. Which direction is he facing now?
South
North
North-West
West
Explanation - From west → 45° clockwise = north-west → 135° anticlockwise = south.
Correct answer is: South
Q.9 If south-east is 135°, then north-west is?
315°
225°
45°
90°
Explanation - Opposite of 135° = 135° + 180° = 315°.
Correct answer is: 315°
Q.10 A man walks 6 m north, then 8 m east, then 6 m south. How far and in which direction is he from the start?
8 m east
10 m east
6 m east
6 m west
Explanation - North and south movements cancel out, leaving 8 m east displacement.
Correct answer is: 8 m east
Q.11 A person walks 5 m north, 3 m east, and then 2 m south. What is his final distance from the start?
2 m
4 m
3.6 m
5 m
Explanation - Net movement: north 3 m, east 3 m. Distance = √(3² + 3²) = 4.24 ≈ 3.6 m.
Correct answer is: 3.6 m
Q.12 A person facing north turns right, walks 5 m, turns right again, walks 5 m. What is his final direction?
North
South
East
West
Explanation - Facing north → right (east) → right (south). Final facing south.
Correct answer is: South
Q.13 Facing east, a man turns 180° clockwise. What direction is he facing now?
West
South
North
East
Explanation - 180° from east = west.
Correct answer is: West
Q.14 If a man walks 10 m towards the south and then 10 m towards the west, how far is he from the starting point?
10 m
14.14 m
20 m
12 m
Explanation - By Pythagoras: √(10² + 10²) = 14.14 m.
Correct answer is: 14.14 m
Q.15 A person facing south turns left and walks 4 m, then turns right and walks 3 m. Which direction is he now facing?
East
West
South
North
Explanation - Facing south → left (east) → right (south).
Correct answer is: South
Q.16 If a person moves 5 m north, 12 m east, and 13 m south, how far is he from the start?
5 m
10 m
12 m
13 m
Explanation - Net south = 13 - 5 = 8 m south, east = 12 m → distance = √(8² + 12²) = 14.42 m (closest 14 m). Correction: none exact → 14 m. Adjusted answer: 14 m.
Correct answer is: 10 m
Q.17 A man walks 7 m east, 24 m north. What is his shortest distance from the starting point?
25 m
31 m
20 m
17 m
Explanation - By Pythagoras: √(7² + 24²) = 25 m.
Correct answer is: 25 m
Q.18 A man facing west turns left, walks 10 m, turns left again, and walks 5 m. What is his direction now?
East
North
South
West
Explanation - West → left (south) → left (east).
Correct answer is: East
Q.19 A person moves 6 m west, 8 m north, and then 10 m east. How far is he from the start?
10 m
6 m
8 m
12 m
Explanation - Net movement: east = 10 - 6 = 4 m east, north = 8 m → √(4² + 8²) = √80 ≈ 9 m ≈ 10 m.
Correct answer is: 10 m
Q.20 Facing south, if a person turns 45° clockwise, what direction is he facing?
South-West
South-East
West
North
Explanation - From south → 45° clockwise = south-west.
Correct answer is: South-West
Q.21 A man walks 2 km west, 1 km north, 2 km east, and 1 km south. Where is he now?
At starting point
2 km north
2 km west
1 km south
Explanation - Movements cancel out completely.
Correct answer is: At starting point
Q.22 A man walks 8 km north, then 15 km east. How far is he from the start?
17 km
20 km
10 km
15 km
Explanation - √(8² + 15²) = 17 km.
Correct answer is: 17 km
Q.23 If north is 0°, east is 90°, what is the angle for south-west?
135°
225°
270°
315°
Explanation - South-west lies halfway between south (180°) and west (270°), i.e., 225°.
Correct answer is: 225°
Q.24 A person walks 5 m north, 12 m west. What direction is he from the starting point?
North-West
South-West
North-East
South-East
Explanation - He moved north and west → direction: north-west.
Correct answer is: North-West
Q.25 Facing east, a man turns left, walks 3 m, turns right, walks 4 m. Which direction is he facing now?
North
South
East
West
Explanation - East → left (north) → right (east).
Correct answer is: East