Mental Ability Direction Sense Solved Questions

INTRODUCTION

There are four directions such as North, South, East and West. The word NEWS came from North, East, West and South.
There are four regions : North-East (i); North- West (ii); South-West (iii); South-East (iv). 
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The di rect ions OP, OS, OQ and OR are North-East di rect ion; North-West direction; South-West direction; and South- East direction respectively.
Note : The candidate must distinguish between the regions and directions, i.e., between North- East region and North-East direction. If you move with your face Eastwards, your left hand is towards North and your right hand is towards South. Similarly the positions of the directions of the hands can be fixed when you move in any of the other three directions.

Ex.1 Mohan travels 7 km Eastwards, then he turns right and travels 3 km and further turns right again and travels 11 km. How far is he from the starting point ?
(A) 5
(B) 14
(C) 21
(D) 23
Sol. (A) The movement of Mohan from A to D as shown in figure. Now,
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DE = (CD – CE) = (CD – AB) =
(11 – 7) = 4 km
Required Distance = AD = √DE2 + AE2
√DE2 + BC2 = √(4)2 + (3)2 = 5 km

Ex.2 A man walks 9 km to East and then 12 km to south. How far is he from the starting point ?
(A) 15 km
(B) 8 km
(C) 7 km
(D) Noone
Sol. (A) The movement of man from A to C as shown in figure. Clearly, required distance 
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AC = √AB2 + BC2
= √92 + 122 = 15 km

Ex.3 A man travels one km towards East from a specific point of place ; there after 5 kms towards South, then 2 kms towards East and then finally 9 km towards North. How far is he from the starting point of place ?
Sol. See the figure, 
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(AB)2 = (AC)2 + (BC)2
= 9 + 16
= 25
AB = 5 km

Ex.4 Mohan started from his house, walked 2 km North then 3 km West, then 6 km South.
How far away from his house was he then ?
Sol. See the figure, 
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(AC)2 = (AB)2 + (BC)2
= 9 + 16
= 5 km.

Ex.5 A man is facing North-west. He turns 90º in the clockwise direction and then 135º in the anticlockwise direction. Which direction is he facing now ?
Sol.
(A) East
(B) West
(C) North
(D) South 
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As shown in the figure, the man faces in the direction OA, After moving 90º clockwise, the man faces in the direction OB.On moving to 135º anticlockwise, he faces in the direction
OC, which is West.

Ex.6 I am facing South. I turn right and walk 20 m. Then I turn right again and walk 10 m. Then I turn left and walk 10 m and then turning right walk 20 m. Then I turn right again and walk 60 m. In which direciton am I from the starting point ?
(A) North
(B) North-West
(C) East
(D) North-East
Sol. (D) The movements of the person are from A to F, as shown in figure. Clearly, the final position is F which is to the North-East of the starting point A. 
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Ex.7 From his house, Rajan went 25 kms to the North. Then he turned west and covered 20 kms. Then he turned South and covered 15 kms Finally, turning to East, he covered 20 kms. In which direction was he from his house ?
(A) East
(B) West
(C) North
(D) South
Sol. (C) The movements of Rajan are as shown in figure.
(A to B, B to C, C to D and D to E) 
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Clearly, his final position is E which is to the North of his house at A.

Ex.8 Sanjay went 70 metres in the East before turning to his right. He went 10 metres before turning to his right again and went 10 metres from this point. From here he went 90 metres to the North. How far was he from the starting point ?
(A) 80 metres
(B) 100 metres
(C) 140 metres
(D) 260 metres
Sol. (B) 
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The movement of Sanjay from A to E are as shown in figure.
Now, AF = (AB – FB)
= (AB – DC) = (70 – 10) = 60 m
EF = (DE – DF) = (DE – BC)
= (90 – 10)m = 80 m
Required distance = AE = √AF2 + EF2
= √(60)2 + (80)2 = 100 m

Ex.9 A man is facing North-West. He turns 90º in the clockwise direction and then 135º in the anti-clockwise direction. Which direction is he facing now ?
(A) East
(B) West
(C) North
(D) South
Sol. (B) As shown in the figure the man faces in the direction OA. After moving 90º clockwise, the man faces in the direction OB. On moving to 135º anti-clockwise, he faces in the
direction OC, which is West. 
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Ex.10 A man is facing North-West. He turns 90º in the clockwise direction, then 180º in the anticlockwise direction and then another 90º in the same direction. Which direction is he facing now ?
(A) South
(B) South-West
(C) West
(D) South-East
Sol. (D) As shown in figure the man initially faces in the direction OA. On moving 90º clockwise, he faces in the direction OB. On further moving 180º anti-clockwise, he faces in the direction OC. Finally on moving 90º anticlockwise, he faces in the direction OD, which is South-East.
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Question. You go North, turn right again and then go to the left. In which direction are you now?
(A) North
(B) South
(C) East
(D) West

Answer: C

Question. 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?
(A) 2 km West
(B) 5 km East
(C) 6 km South
(D) None of these

Answer: A

Question. A is 40 m South-West of B. C is 40 m South- East of B. Then, C is in which direction of A?
(A) East
(B) West
(C) North-east
(D) South-west

Answer: A

Question. Five boys are standing in a row facing East. Deepak is to the left of Sameer, Tushar and Shailendra. Sameer, Tushar and Shailendra are to the left to Sushil. Shailendra is between Sameer and Tushar. If Tushar is fourth from the left, how far is Sameer from the right?
(A) First
(B) Second
(C) Third
(D) Fourth

Answer: D

Question. 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 kilometres will he have to cycle to reach his home straight?
(A) 10 km
(B) 15 km
(C) 20 km
(D) 25 km

Answer: B

Question. Kunal walks 10 kilometres towards North. From there, he walks 6 kilometres towards South. Then, he walks 3 kilometres towards East. How far and in which direction is he with reference to his starting point?
(A) 5 kilometres West
(B) 5 kilometres North-east
(C) 7 kilometres East
(D) 7 kilometres West

Answer: B

Question. Raj travelled from a point X straight to Y at a distance of 80 metres. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right and walked 50 metres. How far is he from the starting point?
(A) 10 metres
(B) 20 metres
(C) 50 metres
(D) 70 metres

Answer: A

Question. A, B, C and D are playing cards. A and B are partners. D faces towards North. If A faces towards West, then who faces towards South?
(A) B
(B) C
(C) D
(D) Data inadequate

Answer: B

Directions : Study the information given below carefully and answer the questions that follow :
A, B, C, D, E, F, G, H and I are nine houses.
C is 2 km east of B. A is 1 km north of B and H is 2 km south of A.
G is 1 km west of H while D is 3 km east of G and F is 2 km north of G. I is situated just in middle of B and C while E is just in middle of H and D.

Question. Distance between A and F is -
(A) 1 km
(B) 1.41 km
(C) 2 km
(D) 3 km

Answer: A

Question. A watch reads 4.30. If the minute hand points East, in what direction will the hour hand point?
(A) North
(B) North-west
(C) South-east
(D) North-west

Answer: D

Question. If ‘South-east’ is called ‘East’, ‘North-west’ is called ‘West’, ‘South-west’ is called ‘South’ and so on, what will ‘North’ be called?
(A) East
(B) North-east
(C) North-west
(D) South

Answer: C

Question. Distance between E and G is -
(A) 1 km
(B) 1.5 km
(C) 2 km
(D) 5 km

Answer: C

Question. If South-east becomes North, North-east becomes West and so on, what will West become?
(A) North-east
(B) North-west
(C) South-east
(D) South-west

Answer: C

Question. Distance between E and I is -
(A) 1 km
(B) 2 km
(C) 3 km
(D) 4 km

Answer: A

Question. After walking 6 km, I turned right and covered a distance of 2 km, then turned left and covered a distance of 10 km. In the end, I was moving towards the north. From which direction did I start my jouney?
(A) North
(B) South
(C) East
(D) West

Answer: B