1. One day Varun left home and walked 15 km southwards, turned right and walked 5 km and turned right and walked 15 km and turned left and walked 10 km. How many kilometres will he have to walk to reach his home straight?
A) 10 km B) 15 km C) 20 km D) 25 km
Explanation:
Clearly, Varun starts from home at A, moves 15 km southwards up to B, turns right and moves and 5 km up to C, turns right again and moves 15 km up to D and finally turns left and moves 10 km up to E.
Thus his distance from initial position
A = AD + DE = BC + DE = (5 + 10) = 15 km.
Ans: B
2. Praveen walks 12 km towards North. From there he walks 6 km towards South. Then, he walks 8 km towards East. How far and in which direction is he with reference to his starting point?
A) 5 km West B) 10 km West C) 7 km East D) 10 km North-east
Explanation:
Clearly, Praveen moves from A 12 km north-wards up to B, then moves 6 km southwards up to C, turns towards East and walks 8 km up to D. Then, AC = (AB − BC) = (12 − 6) = 6 km. So, Praveen's distance from the starting point A.
AD = √ (AC2 + CD2) = √ 62 + 82 = √36 + 64 = √100 = 10km.
Also, D is to the North-east of A.
Ans: D
3. Sita drives 40 kms towards East, turns right and drives 55 kms, then turns left and drives 23 kms. In which direction is she facing now?
A) East B) North C) West D) South
4. A man walks 20 metres south. Then turning to his right he walks 20 metres. Then turning to his left, he walks 15 metres. Again turns to his left and walks 20 metres. How far is he from his initial position?
A) 20 m B) 35 m C) 25 m D) 50 m
So, the total distance from the initial position = 20 m + 15 m = 35 m
Ans: B
5. Abhilash faces towards north. Turning to his right, he walks 15 metres. He then turns to his left and walks 20 metres. Next, he moves 15 metres to his right. He then turns to his right again and walks 45 metres. Finally, he turns to the right and moves 20 metres. In which direction is he now from his starting point?
A) South-west B) South C) North-west D) South-east
Abhilash turns right from north direction. So, he walks 15 m towards east up to B, turns left and moves 20 m up to C, turns right walks 15m up to D and goes south and walks 45 m up to E. Next, he again turns to right and walks 20 m up to F, which is his final position. F is to the southeast of A. So, he is to the south-east from his starting point
Ans: D
6. Divya moved a distance of 65 metres towards the north. She then turned to the left and walking for about 15 metres, turned left again and walked 70 metres. Finally, she turned to the right at an angle of 45°. In which direction was she moving finally?
A) North-east B) North-west C) South-east D) South-west
Divya started from A, Moved 65 m up to B, turned left and walked 15 m up to C. She turned left again and moved 70 m C to D. Turning to the right at angle of 45°, she was finally moving in the direction DE. i.e, South- west.
Ans:
7. Point A is 40 m to the east of point B. Point C is 15 m to the south of point A. Point D is 20 m to the west of point C. Point E is exactly in the middle of the points D and F. Points D, E and F lie in a straight line. The length of the DEF is 30 m. Point F is to the north of point D. Point G is 20 m to the east of Point F. How far and in which direction is point G from poinA?
A) 15 m, South B) 20 m, North C) 15 m, North D) 15 m, East
It's clear from the diagram that point G is 15 m to the north of point A.
Ans: C
8. Manvitha travels 12 km Westwards and then turns left and travels 4 km and further turns left and travels 24 km. How far is Manvitha now from the starting point?
A) √ 160 km B) √ 80 km C) √100 km D) None of these
By the Pythagoras, AB = √ 42 + 122 = √ 16+144 =√ 160 km.
Ans: A
9. Charan drove a car 10 km to the west from his house, then turned left and drove 15 km. He then turned east and drove 20 km and finally turning left covered 15 km. How far he is from his house?
A) 40 km B) 80 km C) 5 km D) 10 km
Explanation:
It's clear from the diagram that Charan's distance = 10 km.
Ans: D
10. If you start running from a point towards North and after covering 5 km, you turn to your left and run 6 km and then again turn to your left and run 6 km and then turn to left again and run another 7 km and before finishing you take another left turn and run 1 km, then answer the following question based on this information. From the finishing point if you have to reach the point from where you started, in which direction will you have to run?
A) North B) South C) East D) West
Explanation:
Therefore, it's clear from the diagram that you have to run in west direction.
Ans: D
Directions (11-12): Study the following questions carefully and answer the questions given below. Neeraj starts driving from point A and drives 10 km towards north. He takes a right turn and drive 18 km. He now drives 6 km after taking a left turn. Finally he takes a left turn; and drives 18 km and stops at point B.
11. How far is point A with respect to point B?
A) 16 km B) 20 km C) 35 km D) 25 km
12. Which direction does Neeraj move before stopping at point B?
A) Northwest B) South C) Southeast D) West
Explanation:
AB =10 + 6 = 16 km.
It's clear from diagram that Neeraj is moving towards west direction.
11-A, 12-D
13. The distance between O and Q is 50 m and that between R and S is 40 m. R is to the west of S, which is to the east of O at a distance of 70 m. Q is to the west or northwest or north of R. If R is to the south of Q, what is the distance between Q and R?
A) 40 m B) 35 m C) 80 m D) 20 m E) None of these
Explanation:
From Formula
OQ2 = OR2 + QR2 QR2
= OQ2 − OR2
= (50)2 − (30)2
= 2500 − 900
QR = √ 1600 QR = 40 m
Ans: A
