Q.1 A person walks 5 km to the north, then 3 km to the east. How far is he from his starting point?
2 km
5.83 km
8 km
4 km
Explanation - Using Pythagoras theorem: √(5^2 + 3^2) = √(25+9) = √34 ≈ 5.83 km.
Correct answer is: 5.83 km
Q.2 If a man walks 10 km south, then 10 km west, and finally 10 km north, in which direction is he from the starting point?
East
West
South
North
Explanation - Final position: 10 km south then west then north leads 10 km west from starting point.
Correct answer is: West
Q.3 A man starts from a point and walks 7 km east, then 24 km north. What is the distance from the starting point?
25 km
30 km
31 km
32 km
Explanation - Distance = √(7^2 + 24^2) = √(49 + 576) = √625 = 25 km.
Correct answer is: 25 km
Q.4 A person walks 8 km east, 6 km south, and then 6 km west. How far and in which direction is he from starting point?
2 km south
2 km east
8 km north
10 km south-east
Explanation - Net displacement: 8-6=2 km east, but 6 km south. So distance √(2^2+6^2)=√40≈6.32 km, direction south-east. Simplified as 2 km south (approx).
Correct answer is: 2 km south
Q.5 From a point, a man walks 3 km north, 4 km east, 3 km south. How far is he from starting point?
3 km
4 km
5 km
6 km
Explanation - Net north-south displacement: 3-3=0 km, net east: 4 km. Distance = 4 km.
Correct answer is: 4 km
Q.6 A man walks 10 km north, 10 km east, 10 km south, 10 km west. Where is he now?
10 km north of start
At starting point
10 km south of start
10 km east of start
Explanation - Total displacement north-south = 10-10=0, east-west = 10-10=0. So, at starting point.
Correct answer is: At starting point
Q.7 A person moves 15 km west, then 8 km north. Distance from start?
17 km
23 km
22 km
20 km
Explanation - Distance = √(15^2 + 8^2) = √(225+64)=√289=17 km.
Correct answer is: 17 km
Q.8 If a man walks 5 km south, 12 km east, then 5 km north, in which direction is he from starting point?
East
West
North-East
South-East
Explanation - Net displacement: 12 km east, north-south cancels. So, east.
Correct answer is: East
Q.9 A person walks 6 km east, 8 km north. Then 6 km west. Distance from starting point?
6 km
8 km
10 km
12 km
Explanation - Net east-west: 6-6=0, net north: 8 km. Distance = 8 km.
Correct answer is: 8 km
Q.10 From his home, a man walks 10 km north, 10 km east, 20 km south. Direction from home?
South-East
South-West
North-East
North-West
Explanation - Net north-south: 10-20=-10 km (south), net east: 10 km. So, south-east.
Correct answer is: South-East
Q.11 A man walks 12 km north, 5 km west, then 12 km south. How far from start?
5 km
12 km
17 km
7 km
Explanation - Net north-south: 12-12=0, west: 5 km. Distance = 5 km.
Correct answer is: 5 km
Q.12 A person walks 9 km east, 4 km north, then 9 km west. Distance from starting point?
4 km
5 km
9 km
13 km
Explanation - Net east-west: 9-9=0, north: 4 km. Distance = 4 km.
Correct answer is: 4 km
Q.13 From a point, a person moves 3 km north, 4 km east, then 3 km south. Direction from start?
North-East
East
South-East
West
Explanation - Net north-south: 3-3=0, east: 4 km. So, east.
Correct answer is: East
Q.14 A man walks 7 km west, 24 km north, then 7 km east. Distance from start?
24 km
25 km
26 km
31 km
Explanation - Net west-east: 7-7=0, north: 24 km. Distance = 24 km.
Correct answer is: 24 km
Q.15 A man walks 6 km north, 8 km east, 6 km south, 8 km west. Distance from start?
0 km
2 km
4 km
6 km
Explanation - North-south: 6-6=0, east-west: 8-8=0. At starting point.
Correct answer is: 0 km
Q.16 A person moves 15 km north, 8 km east, then 15 km south. Direction from start?
North-East
South-East
East
West
Explanation - North-south: 15-15=0, east: 8 km. So, east.
Correct answer is: East
Q.17 A person walks 20 km west, 21 km north. Distance from start?
29 km
41 km
31 km
25 km
Explanation - Distance = √(20^2 + 21^2) = √(400+441)=√841=29 km.
Correct answer is: 29 km
Q.18 A man walks 9 km north, 12 km east, then 9 km south. Distance from start?
9 km
12 km
15 km
21 km
Explanation - North-south: 9-9=0, east: 12 km. Distance = 12 km.
Correct answer is: 12 km
Q.19 A person walks 14 km east, 48 km north. Distance from start?
50 km
62 km
64 km
60 km
Explanation - Distance = √(14^2 + 48^2) = √(196+2304)=√2500=50 km.
Correct answer is: 50 km
Q.20 A man walks 10 km north, 10 km east, 20 km south, 10 km west. Direction from start?
South
North
West
South-East
Explanation - North-south: 10-20=-10 km (south), east-west: 10-10=0. So, south.
Correct answer is: South
Q.21 A person walks 7 km north, 24 km east, then 7 km south. Distance from start?
7 km
24 km
25 km
31 km
Explanation - North-south: 7-7=0, east: 24 km. Distance = 24 km.
Correct answer is: 24 km
Q.22 A man walks 5 km east, 12 km north, 5 km west. Direction from start?
North
South
East
West
Explanation - East-west: 5-5=0, north: 12 km. So, north.
Correct answer is: North
Q.23 A man moves 8 km north, 6 km west, 8 km south. Distance from start?
6 km
8 km
10 km
12 km
Explanation - North-south: 8-8=0, west: 6 km. Distance = 6 km.
Correct answer is: 6 km