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Question :

Directions : Ram left his home from the front door & moved 4 km straight. He then took a right turn & moved 5 km. After this he took a left turn & moved 6km. He finally took a right turn & moved 7km to reach Badminton Court from west gate.

Himani left Badminton court and moved 3 km straight & took a left turn. She moves 4 km & then took a left turn. She then moved 8 km & again took a left turn. She finally moved 9km to reach her house from south side.

Shivani moved 2 km straight from her house the took a right turn & moved 5km. She again took a right turn & moved 3 km. She then took a left turn & moved 8 km. After this, she took a right turn & moved 3 km. Finally she took a right turn & moved 1 km to reach Himani's house from east side.

(consider house & badminton court to be of a negligible length & width)

Which of the following statements is/are correct?

I. Himani left the Badminton court from west side

II. Shivani left her house from south side

III. Badminton court is towards north-west of Himani's house

1. I

2. II & III

3. III

4. I & III

5. None of these

Correct Answer : 1
Solution :

· Ram left his home from the front door & moved 4 km straight. He then took a right turn & moved 5 km. After this he took a left turn & moved 6km. He finally took a right turn & moved 7km to reach Badminton Court from west gate.

Let us make a common orientation for Ram.

Since he entered from the court from west gate so, rotating the orientation we get,

Himani left Badminton court moved 3 km Straight & took a left turn. She move 4 km & then took a left turn. She then moved 8 km & again took a right turn. She finally moved 9km to reach his house from south side.

Now lets make common orientation for Himani,

Since Himani entered from south side in her home, so rotating this orientation we get,

Shivani moved 2 km straight from her house the took a right turn & moved 5km. She again took a right turn & moved 3 km. She then took a left turn & moved 8 km. After this, she took a right turn & moved 3 km. Finally, she took a right turn & moved 1 km to reach Himani's house from east side.

Now, let us make common orientation for Shivani,

Since, she entered Himani house from east side, so rotating the orientation we get,

Option (a) is correct.

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