Instructions:
The questions consist of a sort of direction puzzle. A successive follow up of directions is formulated and the task is to ascertain the final direction or the distance between the two points. This test judges the ability to trace and follow correctly and sense the direction correctly.
The figure show the four main directions - North, South, East and West. The four cardinal directions are North East (NE), North West (NW), South East (SE), South West (SW).
Practice Questions:
Question 1:
One day, Ravi left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight?
Ravi starts from home and moves 10 km southwards upto BHe then turns right and moves 5 k upto C
Then turns right again and moves 10 km upto D
Finally turns left and moves 10 km upto E
Total distance from initial position
A = AE = AD + DE = BC + DE = 5 + 10 = 15 km.
Hence, he needs to cycle 15 km to reach his home straight.
Question 2:
Kailash faces towards north. Turning to his right, he walks 25 meters. He then turns to his left and walks 30 meters. Next, he moves 25 meters to his right. He then turns to his right again and walks 55 meters. Finally, he turns to the right and moves 40 meters. In which direction, is he now from his starting point?
Kailash turns towards right from North direction.
He walks 25 m towards east upto B
Turns left and moves 30 m upto C
Turns right and goes 25 m upto D
At D, he turns to right towards the South and walks 55 m upto E
He again turns to right and walks 40 m upto F, the final position
F is to the South - east of A
Hence, he is in the direction of South east from his starting point.
Question 3:
Deepa moved a distance of 75 meters towards the north. She then turned to the left and walking for about 25 meters, turned left again and walked 80 meters. Finally, she turned to the right at an angle of 45˚. In which direction was she moving finally?
Deepa started from A, moved 75 m upto B
Turned left and walked 25 m upto C
Turned left again and moved 80 m upto D
Turning to the right at an angle of 45˚, she was finally moving in the direction of DE ie South - west
Hence, the direction she was moving finally was South west.
Question 4:
Kunal walks 10 km towards north. From there, he walks 6 km towards south. Then, he walks 3 km towards east. How far and in which direction is he with reference to his starting point?
Kunal moves from A 10 km northwards upto B
Then he moves 6 km southwards upto C
Turns towards East and walks 3 km upto D
AC = AB - BC = 10 - 6 = 4 km; CD = 3 km
AD = √ [(AC)² + (CD)²] = √ (4² + 3²) = 5 km
D is in the direction of North - east of A
Hence, he is 5 km North east from his starting point.
Question 5:
Johnson left for his office in his car. He drove 15 km towards north and then 10 km towards west. He then turned to the south and covered 5 km. Further, he turned to the east and moved 8 km. Finally, he turned right and drove 10 km. How far and in which direction is he from his starting point?
Johnson drove 15 km from A to B northwards
Then 10 km from B to C towards west
Then moves 5 km southwards from C to D
Then 8 km eastwards upto E
Finally, he turned right and moved 10 km upto F
A and F lie in the same straight line and F lies to the west of A
Distance = AF = BC - DE = 10 - 8 = 2 km
Hence, he is 2 km far in the West from his starting point.
Time to Think:
Rohan walks a distance of 3 km towards north, then turns to his left and walks for 2 km. He again turns left and walks for 3 km. At this point, he turns to his left and walks for 3 km. How many kilometers is he from the starting point?
He walks 25 m towards east upto B
Turns left and moves 30 m upto C
Turns right and goes 25 m upto D
At D, he turns to right towards the South and walks 55 m upto E
He again turns to right and walks 40 m upto F, the final position
F is to the South - east of A
Hence, he is in the direction of South east from his starting point.
Question 3:
Deepa moved a distance of 75 meters towards the north. She then turned to the left and walking for about 25 meters, turned left again and walked 80 meters. Finally, she turned to the right at an angle of 45˚. In which direction was she moving finally?
Deepa started from A, moved 75 m upto B
Turned left and walked 25 m upto C
Turned left again and moved 80 m upto D
Turning to the right at an angle of 45˚, she was finally moving in the direction of DE ie South - west
Hence, the direction she was moving finally was South west.
Question 4:
Kunal walks 10 km towards north. From there, he walks 6 km towards south. Then, he walks 3 km towards east. How far and in which direction is he with reference to his starting point?
Kunal moves from A 10 km northwards upto B
Then he moves 6 km southwards upto C
Turns towards East and walks 3 km upto D
AC = AB - BC = 10 - 6 = 4 km; CD = 3 km
AD = √ [(AC)² + (CD)²] = √ (4² + 3²) = 5 km
D is in the direction of North - east of A
Hence, he is 5 km North east from his starting point.
Question 5:
Johnson left for his office in his car. He drove 15 km towards north and then 10 km towards west. He then turned to the south and covered 5 km. Further, he turned to the east and moved 8 km. Finally, he turned right and drove 10 km. How far and in which direction is he from his starting point?
Johnson drove 15 km from A to B northwards
Then 10 km from B to C towards west
Then moves 5 km southwards from C to D
Then 8 km eastwards upto E
Finally, he turned right and moved 10 km upto F
A and F lie in the same straight line and F lies to the west of A
Distance = AF = BC - DE = 10 - 8 = 2 km
Hence, he is 2 km far in the West from his starting point.
Time to Think:
Rohan walks a distance of 3 km towards north, then turns to his left and walks for 2 km. He again turns left and walks for 3 km. At this point, he turns to his left and walks for 3 km. How many kilometers is he from the starting point?
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