1. One evening before sunset Rekha and Hema were talking to each other face to face. If Hema's shadow was exactly to the right of Hema, which direction was Rekha facing?
a) North
b) South
c) East
d) Data is inadequate
Explanation:
In the evening sun sets in West. Hence then any shadow falls in the East. Since Hema's shadow was to the right of Hema. Hence Rekha was facing towards South.
2. A boy rode his bicycle Northward, then turned left and rode 1 km and again turned left and rode 2 km. He found himself 1 km west of his starting point. How far did he ride northward initially?
a) 1 km
b) 2 km
c) 3 km
d) 5 km
Explanation:
The boy rode 2 km. Northward.
3. K is 40 m South-West of L. If M is 40 m South-East of L, then M is in which direction of K?
a) East
b) West
c) North-East
d) South
Explanation:
Hence M is in the East of K.
4. A man walks 2 km towards North. Then he turns to East and walks 10 km. After this he turns to North and walks 3 km. Again he turns towards East and walks 2 km. How far is he from the starting point?
a) 10 km
b) 13 km
c) 15 km
d) None of these
Explanation:
Required Distance
= AE
= √(52 + 122)
= 13 km
5. The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?
a) 10
b) 14
c) 38
d) 48
Explanation:
Required Distance
= 8 + 6 + 8 + 6 + √(82 + 62)
= 28 + √100
= 28 + 10
= 38 m
6. One morning after sunrise Nivedita and Niharika were talking to each other face to face at Dalphin crossing. If Niharika's shadow was exactly to the right of Nivedita, Which direction Niharika was facing?
a) North
b) South
c) East
d) Data is inadequate
Explanation:
In the morning sun rises in the East. Hence then any shadow falls in the West. Since Nikharia's shadow was exactly to the right of Nivedita. Hence Nikharia is facing towards North.
7. If A x B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B; then in P % Q + R - S, S is in which direction with respect to Q?
a) South-West
b) South-East
c) North-East
d) North-West
Explanation: According to P % Q + R - S
S is in the South-East of Q.
8. One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?
a) East
b) South
c) West
d) Data is inadequate
Explanation: Sun rises in the east in the morning. Since the shadow of Suresh falls to his right. So he is facing South.
9. A child went 90 m in the East to look for his father, then he turned right and went 20 m. After this he turned right and after going 30 m he reached to his uncle's house. His father was not there. From there he went 100 m to his north and met his father. How far did he meet his father from the starting point?
a) 80 m
b) 100 m
c) 140 m
d) 260 m
Explanation:
Required Distance
= AE
= √(AG2 + EG2)
= √{(90 - 30)2 + (100 - 20)2}
= √{(60)2 + (80)2}
= √(3600 + 6400)
= √10000
= 100 m
10. Four friends A, B, C and D live in a same locality. The house of B is in the east of A's house but in the north of C's house. The house of C is in the west of D's house. D's house is in which direction of A's house?
a) South-East
b) North-East
c) East
d) Data is inadequate
Explanation:
Therefore, D's house is in the South-East direction of A.
11. A man walks 1 km to East and then he turns to South and walks 5 km. Again he turns to East and walks 2 km. After this he turns to North and walks 9 km. Now, how far is he from his starting point?
a) 3 km
b) 4 km
c) 5 km
d) 7 km
Explanation: Man's Movement :
The last position of the man is P and OEP is a Right angled triangle in which
EP = 3 km and OE = 4 km
Thus,
OP = √(32 +42)
OP = √25
OP = 5 km
12. I walk 30 metres in North-West direction from my house and then 30 metres in South-west direction. After this I walk 30 metres in South-East direction. Now, I turn to my house, in what direction am I going?
a) North-East
b) North-West
c) South-East
d) South-West
Explanation: Movements are as follows :
Now, I am going in North-East Direction.
13. A man faces towards north. Turning to his right, he walks 25 metes. He then turns to his left and walks 30 metres. Next, he moves 25 metres to his right. He then turns to his right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he from his starting point ?
a) South-West
b) South
c) North-west
d) South-East
Explanation: Man's Movement :
Finally he is towards the South-East from his starting Point.
14. If South-East becomes North and South becomes North-East and all the rest directions are changed in the same manner, the what will be the direction for West ?
a) North-East
b) North-West
c) South-East
d) South-West
Explanation: If South-east becomes North and North East becomes West, therefore, the whole figure moves through 1350. Hence, West will be South-East.
See, Actual figure is rotating 1350 anticlockwise.
So, When West will be rotated by same degree anticlockwise. It will hold the place of south-East.
15. If Rahim moves 20 metres in East direction and then turns to his left and then moves 15 metres and then he turns to his right and moves 25 metres. After this he turns to his right and moves 15 metres. Now, how far is he from starting point ?
a) 40 m
b) 50 m
c) 25 m
d) 45 m
Explanation: Rahim's Movement
Therefore, the distance of Rahim from his starting point,
= 20 + 25
= 45 meters
16. 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?
a) 5 km, West
b) 5 km, North-East
c) 7 km, East
d) 7 km, south-East
Explanation:
From the figure, we get OC which is the required distance,
OC = √(OC2 + BC2)
OC = √(42 + 32)
Oc = 5 km (North-East)
17. Rohan walks a distance of 3 km towards north, then turns to his left and walks 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 kilometres is he from the starting point?
a) 1 km
b) 2 km
c) 3 km
d) 4 km
Explanation:
From figure, it is clear that OD is required distance which is 1 km.
18. One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?
a) East
b) West
c) North
d) South
Explanation:
19. Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P?
a) North
b) South
c) South-East
d) None of these
Explanation:
P is in South-West of Y.
20. 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
Explanation:
It is clear from the diagrams that new name of West will become South-East.
21. X started to walk straight towards south. After walking 5 m he turned to the left and walked 3 m. After this he turned to the right and walked 5 m. Now to which direction X is facing?
a) North-East
b) South
c) North
d) South-West
Explanation:
Hence X will face in the end towards South.
22. Hemant in order to go to university started from his house in the east and came to a crossing. The road to the left ends in a theatre, straight ahead is the hospital. In which direction is the university?
a) North
b) South
c) East
d) West
Explanation:
Therefore university is in North.
23. After walking 6 km, I turned to the right and then walked 2 km. After then I turned to the left and walked 10 km. In the end, I was moving towards the North. From which direction did I start my journey?
a) North
b) South
c) East
d) West
Explanation:
The journey was started from the South.
24. Ravi left home and cycled 10 km towards South, then turned right and cycled 5 km and then again turned right and cycled 10 km. After this he turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight?
a) 10 km
b) 15 km
c) 20 km
d) 25 km
Explanation:
Required Distance
= AE
= 5 + 10
= 15 km
25. Reena walked from A to B in the East 10 feet. Then she turned to the right and walked 3 feet. Again she turned to the right and walked 14 feet. How far is she from A?
a) 4 feet
b) 5 feet
c) 24 feet
d) 27 feet
Explanation:
Required Distance
= AD
= √{32 + (14 - 10)2}
= √(9 + 16)
= 5 ft
26. One morning Sujata started to walk towards the Sun. After covering some distance she turned to right then again to the right and after covering some distance she again turns to the right. Now in which direction is she facing?
a) North
b) South
c) North-East
d) South-West
Explanation:
Hence finally Sujata will face towards North.
27. Some boys are sitting in three rows all facing North such that A is in the middle row. P is just to the right of A but in the same row. Q is just behind of P while R is in the North of A. In which direction of R is Q?
a) South
b) South-West
c) North-East
d) South-East
Explanation:
Q is in South-East of R.
28. One morning after sunrise, Vimal started to walk. During this walking he met Stephen who was coming from opposite direction. Vimal watch that the shadow of Stephen to the right of him (Vimal). To Which direction Vimal was facing?
a) East
b) West
c) South
d) Data inadequate
Explanation: Sun rises in the east. So the shadow of a man will always falls towards the west. Since the shadow of Stephen is to the right of Vimal. Hence Vimal is facing towards South.
29. Golu started from his house towards North. After covering a distance of 8 km. he turned towards left and covered a distance of 6 km. What is the shortest distance now from his house?
a) 10 km.
b) 16 km.
c) 14 km
d) 2 km
Explanation:
Required Distance
= AC
= √(82 + 62)
= √(64 + 36)
= 10 km
30. P started from his house towards west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this he is to turn right at 135o and to cover 30 m. In which direction should he go?
a) West
b) South
c) South-West
d) South-East
Explanation:
Hence he should go in the South-West direction.
31. A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?
a) West
b) South
c) North-East
d) South-West
Explanation:
Hence required direction is South-West.
32. Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?
a) South-East
b) South
c) North
d) West
Explanation:
At 9.15 P.M., the minute hand will point towards west.
33. Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position?
a) 15 m West
b) 30 m East
c) 30 m West
d) 45 m East
Explanation:
Required distance
= AF
= 30 + 15
= 45 m
From the above diagram, F is in East direction from A.
Hence the required answer is '45 m East'.
34. Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
a) 65 km
b) 75 km
c) 80 km
d) 85 km
Explanation:
Required Distance
= DF
= 150 - (25 + 25 + 35)
= 150 - 85
= 65 km
35. Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which directions is now Jayant from X?
a) 32 m, South
b) 47 m, East
c) 42 m, North
d) 27 m, South
Explanation:
Required Distance
= 20 + 12
= 32 m in south direction
36. Mohan was facing east. he walked 4 km forward and then after turning to his right walked 3 km.Again he turned to his right and walked 4 km. After this he turned back. Which direction was he facing at that time?
a) East
b) West
c) North
d) South
Explanation: Mohan's Movement :
If Mohan turned back from final position he must be facing in the direction of East.
37. A cyclist goes 30 km to North and then turning to East he goes 40 km. Again he turns to his right and goes 20 km. After this he turns to his right and goes 40 km. How far is from his starting point ?
a) 40
b) 50
c) 25
d) 10
Explanation: Cyclist's Movement :
Distance of the Cyclist from his starting Point O to end point D = 30 - 20 = 10 km
38. A, B, C and D are standing on the four corners of a square field as shown in the figure below:
A starts crossing the field diagonally. After walking half the distance, he turns right, walks some distance and turns left. Which direction is A facing now?
a) North-East
b) South-West
c) South-East
d) North-West
Explanation: Movement of A :
Finally A is facing in the direction of North-West.
39.A direction pole was situated on the crossing. Due to an accident the pole turned in such a manner that the pointer which was showing East, started showing South. One traveler went to wrong direction thinking to be West. In what direction actually he was traveling?
a) East
b) South-West
c) North
d) South
Explanation:
As East becomes South, therefore, the pole has turned through 900 in anticlockwise direction. hence, the West will be North.
40. A man leaves from his office for his home. He walks towards East. After moving a distance of 20 m, he turns South and walks 10 m. Then he walks 35 m towards the west and further 5 m towards the north. He then turns towards east and walks 15 m. What is the straight distance (in metres) between his initial and final position?
a) 0
b) 5
c) 10
d) 11
Explanation:
Movement of the man is O to E. And The distance between final and initial position is,
EO = AB - DC = 10 - 5 = 5 m