CAT Exam > CAT Questions > Mayna starts walking towards south. After wal...
Start Learning for Free
Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?
- a)10 metres, North
- b)10 metres, South
- c)10 metres, East
- d)10 meters, West
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Mayna starts walking towards south. After walking a distance of 15 met...
Mayna's Movement:
1. South 15 metres
2. North 20 metres
3. East 10 metres
4. South 5 metres
To determine the final position of Mayna, we need to consider the net displacement in both the horizontal (east-west) and vertical (north-south) directions.
Horizontal Displacement:
- Mayna initially moves towards the south for 15 metres. This implies a displacement of -15 metres in the east-west direction.
- After that, she turns towards the east and walks 10 metres. This adds a displacement of +10 metres in the east-west direction.
Net horizontal displacement = -15 + 10 = -5 metres (westward direction)
Vertical Displacement:
- Mayna initially moves towards the north for 20 metres. This implies a displacement of +20 metres in the north-south direction.
- Then she turns towards the south and walks 5 metres. This adds a displacement of -5 metres in the north-south direction.
Net vertical displacement = 20 - 5 = 15 metres (northward direction)
Final Position:
The net horizontal displacement is -5 metres (westward), and the net vertical displacement is 15 metres (northward). To find the distance and direction from the original position, we can use the Pythagorean theorem.
Distance = √(horizontal displacement)^2 + (vertical displacement)^2
Distance = √((-5)^2 + 15^2)
Distance = √(25 + 225)
Distance = √250
Distance ≈ 15.81 metres
The final position is approximately 15.81 metres away from the original position. However, since the options only provide whole numbers, we can round this distance to the nearest integer, which is 16 metres.
Direction: The net horizontal displacement is -5 metres (westward), and the net vertical displacement is 15 metres (northward). Hence, the direction of the final position is to the east (horizontal displacement) and to the north (vertical displacement).
Therefore, Mayna is 16 metres away from her original position in the east-north direction. This corresponds to option C) 16 metres, East.
1. South 15 metres
2. North 20 metres
3. East 10 metres
4. South 5 metres
To determine the final position of Mayna, we need to consider the net displacement in both the horizontal (east-west) and vertical (north-south) directions.
Horizontal Displacement:
- Mayna initially moves towards the south for 15 metres. This implies a displacement of -15 metres in the east-west direction.
- After that, she turns towards the east and walks 10 metres. This adds a displacement of +10 metres in the east-west direction.
Net horizontal displacement = -15 + 10 = -5 metres (westward direction)
Vertical Displacement:
- Mayna initially moves towards the north for 20 metres. This implies a displacement of +20 metres in the north-south direction.
- Then she turns towards the south and walks 5 metres. This adds a displacement of -5 metres in the north-south direction.
Net vertical displacement = 20 - 5 = 15 metres (northward direction)
Final Position:
The net horizontal displacement is -5 metres (westward), and the net vertical displacement is 15 metres (northward). To find the distance and direction from the original position, we can use the Pythagorean theorem.
Distance = √(horizontal displacement)^2 + (vertical displacement)^2
Distance = √((-5)^2 + 15^2)
Distance = √(25 + 225)
Distance = √250
Distance ≈ 15.81 metres
The final position is approximately 15.81 metres away from the original position. However, since the options only provide whole numbers, we can round this distance to the nearest integer, which is 16 metres.
Direction: The net horizontal displacement is -5 metres (westward), and the net vertical displacement is 15 metres (northward). Hence, the direction of the final position is to the east (horizontal displacement) and to the north (vertical displacement).
Therefore, Mayna is 16 metres away from her original position in the east-north direction. This corresponds to option C) 16 metres, East.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?a)10 metres, Northb)10 metres, Southc)10 metres, Eastd)10 meters, Weste)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup