Solutions
1. If minute hand is pointing towards west, there will be a difference of 45 degrees in the minute hand and the hour hand at 4:30. And that difference would be in the anticlockwise direction.
So, southwest. Option (a) is correct.2.
Fromthe figure it is evident that the distance is 4 kms. Option (d) is correct.
3.
The journey would be as per the figure. Her office would be northeast from her house.
Option (b) is correct.
4. The distance d2 = 302 + 302 = 1800. d = 30 ¥ 21/2. Option (b) is correct.
5. To get to the answer we must assume Amar to be at the point of dissection of the two direction lines. After walking half the distance, Amar will reach the mid of the diagonal, then turn right and face northwest and after that would face the southwest direction when he turns left. (Note that the directions in the figure are different from the usual north, south, east, west directions as the north is in the east position.) Option (d) is correct.
6. Amar would be at Dilip’s position, Chandu would be at Bhushan’s position, Bhushan would be at Chandu’s position and Dilip would be at Amar’s position. Thus, the final positioning would be Dilip-Chandu- Bhushan-Amar. DCBA (Option b) is correct.
7. The final positions would be:
Option (c) can be seen to be correct.
8. Amar would reach Bhushan’s original position as seen in the figure for the final positions. He would be at the southeast corner.
Option (b) is correct.
9. Chandu would be at the northwest corner from the solution figure to the previous question.
10. It can be inferred from the figure below that H is the farthest south and C is the farthest east.
Option (b) is correct.
From the given figure it is clear that the river would be flowing north.
Option (a) is correct.
Solutions to Questons 12 to 14: The following figure represents the positioning of the nine huts:
The answers are:
Solutions to Questions 15 to 19
The vertical North South streets are N, O, P, Q, R. From the basic information we have two relative positions are available—one between O, P and N and the other between Q and R.
The horizontal eastwest streets are: S, T, U, V, W, X, Y.
Of these seven streets the relative positioning is given in 3 distinct parts as shown here.
15. The solution is visible from the figure below. Option (a) is correct.
16. IfR is 1/2 km east of O, then R and P would coincide. Option (d) makes two streets coincide.
17. If R is placed between O and P, Q to N would be a minimum of 1.5 and a maximum of 2 kms. Option (d) is correct.
18. IfR is between O and P, then Q being 1 km to the west of R, would be more than 1 km to the west of P. Option (b) is correct.
19. Y is 1.5 km north of X is correct in all cases as the figure between X, W and Y shows.
Option (d) is correct.20.
The stadium is northeast with respect to the house. Option (b) is correct.
21. Since her house faces towards the south, when she starts from the back side of her house she would go 50 metres north. After this when she turns left, she would be going west and when she again turns right she would be facing the north again. Hence, Option (d) is the correct answer.
22.
From the figure, he starts at A goes through BCDEF and his final distance from∠4 is given by the distanced = ÷(×)2 =√34∙ Hence, Option (c) is the
correct answer.
23.
25.
Starting from∠4 he would be at E and facing South. Hence, Option (b) is the correct answer.
From this figure it is clear that there has to be a 45o counter clockwise rotation. Hence, North would become northwest. Hence, Option (a) is the correct answer.
29. Similar to the above question it would be southwest. Hence, Option (d) is the correct answer.
30.
31.
There is a 90o counter clockwise shift.
If the person follows the east pointer, he would actually be going North. Hence, Option (c) is the correct answer.
Since east is showing southwest, south would be going northwest (135o clockwise rotation). Hence, Option (c) is the correct answer.
He would be facing southeast.
Hence, Option (d) is the correct answer.
33.
He will be northeast. Hence, Option (a) is the correct answer.
34.
We need to just work out the direction for this question. Since Alok’s house is south facing, the above figure will describe his journey correctly. Hence, the school faces east. Hence, Option (d) is the correct answer.
35.
According to this figure the house is northwest.
According to this figure the house is southwest.
Since we do not know the starting direction, we cannot determine the answer.
Hence, Option (d) is the correct answer.