The city K is 30 km to the southeast of Z while Y is 50 km to the northwest of K. Also, H is 38 km to the southeast of Y. L lies in the direct route between Y and K and its distance from H is 14 km. G also lies on this route and is exactly midway between L and Y.
1. A car starting from K at 9 am and running at a constant speed towards Y reaches H at 9.24 am and then reaches G at
(a) 9.18 am
(b) 10.16 am
(c) 10.36 am
(d) 10.42 am
2. If M is 1 km to the southeast of L, then it is exactly midway between
(a) H and L
(b) Y and K
(c) H and Z
(d) None of these
3. The distance from G to H is
(a) 26 km
(b) 24 km
(c) 12 km
(d) 16 km
Solution:
The figure below shows the respective positioning of the cities K, H, L, Z, G and Y.
From the figure we can deduce the answers using the following thinking:
1. The car covers K to H—a distance of 12 kms in 24 minutes according to the figure (starting at 9 am and reaching at 9:24 am). From H to G, the distance is 26 kms. (18 H to Z + 8 Z to G). Since the car has covered 12 kms in 24 minutes, it is obvious that it is taking 2 minutes to cover 1 km. We also know that the speed of the car is constant throughout. Hence, the car would take another 52 minutes to cover the 26 km distance between H to G. This means that the car would reach G at 10:16 am (52 minutes after 9:24 am). Hence, Option (b) is correct.
2. The total distance between Y and K is 50 km (20 km from Y to Z and 30 km from Z to K). If M is 1 km southeast of L, it means that M is 4+1 = 5 km from Z. This would also mean that M is 25 km from Y. Hence, M would be exactly midway between Y and K. Option (b) is correct.
3. G to Z, the distance is 8 km (20 km from Y to Z – 12 km from Y to G). Further, from Z to H the distance is 18 km (from the figure based on the logic that if H is 38 km southeast of Y and Z is 20 km southeast of Y, the distance from Z to H would be 38 – 20). Total distance would be 8 + 18 = 26 km. Option (a) is correct.
These questions are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at the four corners of a square piece of plot as shown.
4. Amar starts crossing the plot diagonally. After walking half the distance, he turns right (900), walks some distance and turns left. Which direction is A facing now?
(a) Northeast
(b) North
(c) Northwest
(d) Southeast
5. From the original position given in the above figure, Amar and Chandu move one side length clockwise and then cross over to the corner diagonally opposite; Bhushan and Dilip move one side length anticlockwise and cross over to the corner diagonally opposite. The original configurations Amar-Bhushan-Chandu-Dilip (ABCD) has now changed to
(a) CBDA
(b) DCBA
(c) BDAC
(d) ACBD
6. From the original position, Bhushan and Dilip move one and a half length of sides clockwise and anti-clockwise respectively. Which one of the following statements is now true?
(a) Bhushan and Dilip are both at the midpoints between Amar and Chandu.
(b) Bhushan is at the midpoint between Amar and Chandu, and Dilip is at the corner originally
occupied by Amar.
(c) Dilip is closer to Amar than he is to Chandu and Bhushan is closer to Chandu than he is to
Amar.
(d) Dilip is closer to Chandu than he is to Amar and Bhushan is closer to Amar than he is to
Chandu.
7. From the positions in the original figure, Bhushan and Amar move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. Chandu and Dilip move three sides each anticlockwise and clockwise respectively. Where is Amar now?
(a) At the northwest corner
(b) At the southeast corner
(c) At the northeast corner
(d) At the southwest corner
8. After the movements given in the above questions, who is at the northwest comer?
(a) Amar
(b) Chandu
(c) Bhushan
(d) Dilip
9. A road network has parallel and perpendicular roads running northsouth or eastwest only. Junctions/Intersections on this road network are marked as A, B, C, D… All roads are at exactly half a kilometer distance from each other. The following is known about junctions A, B, C, H and X. ‘A’ is east of ‘B’ and west of ‘C’, ‘H’ is southwest of ‘C’ and southeast of B. ‘B’ is southeast of ‘X’. Which junctions are the farthest south and the farthest east?
(a) H, B
(b) H, C
(c) C, H
(d) B, H
10. The Suvarna Rekha river flows from west to east and on the way turns left and goes in a quarter circle around a Shiv temple, and then turns left in right-angles. In which direction is the river finally flowing?
(a) North
(b) South
(c) East
(d) West
Solution:
4. 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.
5. 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.
6. The final positions would be:
Option (c) can be seen to be correct.
7. 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.
8. Chandu would be at the northwest corner from the solution figure to the previous question.
9. It can be inferred from the figure below that H is the farthest south and C is the farthest east.
Option (b) is correct.
10. From the given figure it is clear that the river would be flowing north.
Option (a) is correct.
Time to Think:
Jack runs 10 m south from his flat, turns left and walks 23 m, again turns left and walks 40 m, then turns right and walks 5 m to reach his office. In which direction is the office from his house?
(a) East
(b) Northeast
(c) Southwest
(d) North
These questions are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at the four corners of a square piece of plot as shown.
4. Amar starts crossing the plot diagonally. After walking half the distance, he turns right (900), walks some distance and turns left. Which direction is A facing now?
(a) Northeast
(b) North
(c) Northwest
(d) Southeast
5. From the original position given in the above figure, Amar and Chandu move one side length clockwise and then cross over to the corner diagonally opposite; Bhushan and Dilip move one side length anticlockwise and cross over to the corner diagonally opposite. The original configurations Amar-Bhushan-Chandu-Dilip (ABCD) has now changed to
(a) CBDA
(b) DCBA
(c) BDAC
(d) ACBD
6. From the original position, Bhushan and Dilip move one and a half length of sides clockwise and anti-clockwise respectively. Which one of the following statements is now true?
(a) Bhushan and Dilip are both at the midpoints between Amar and Chandu.
(b) Bhushan is at the midpoint between Amar and Chandu, and Dilip is at the corner originally
occupied by Amar.
(c) Dilip is closer to Amar than he is to Chandu and Bhushan is closer to Chandu than he is to
Amar.
(d) Dilip is closer to Chandu than he is to Amar and Bhushan is closer to Amar than he is to
Chandu.
7. From the positions in the original figure, Bhushan and Amar move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. Chandu and Dilip move three sides each anticlockwise and clockwise respectively. Where is Amar now?
(a) At the northwest corner
(b) At the southeast corner
(c) At the northeast corner
(d) At the southwest corner
8. After the movements given in the above questions, who is at the northwest comer?
(a) Amar
(b) Chandu
(c) Bhushan
(d) Dilip
9. A road network has parallel and perpendicular roads running northsouth or eastwest only. Junctions/Intersections on this road network are marked as A, B, C, D… All roads are at exactly half a kilometer distance from each other. The following is known about junctions A, B, C, H and X. ‘A’ is east of ‘B’ and west of ‘C’, ‘H’ is southwest of ‘C’ and southeast of B. ‘B’ is southeast of ‘X’. Which junctions are the farthest south and the farthest east?
(a) H, B
(b) H, C
(c) C, H
(d) B, H
10. The Suvarna Rekha river flows from west to east and on the way turns left and goes in a quarter circle around a Shiv temple, and then turns left in right-angles. In which direction is the river finally flowing?
(a) North
(b) South
(c) East
(d) West
Solution:
4. 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.
5. 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.
6. The final positions would be:
Option (c) can be seen to be correct.
7. Amar would reach Bhushan’s original position as seen in the figure for the final positions. He would be at the southeast corner.
8. Chandu would be at the northwest corner from the solution figure to the previous question.
9. It can be inferred from the figure below that H is the farthest south and C is the farthest east.
Option (b) is correct.
10. From the given figure it is clear that the river would be flowing north.
Time to Think:
Jack runs 10 m south from his flat, turns left and walks 23 m, again turns left and walks 40 m, then turns right and walks 5 m to reach his office. In which direction is the office from his house?
(a) East
(b) Northeast
(c) Southwest
(d) North
Could you explain the diagram ? For 1st one . I got a rhombus like structure to understand the positions of cities
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