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Ashok started walking towards the South. After walking 50 metres he took a right turn and walked 30 metres. He then took a right turn and walked 100 metres. He again took a right turn and walked 30 metres and stopped. How far and in which direction was he from the starting point
  • a)
    50 metres South
  • b)
    150 metres North
  • c)
    180 metres East
  • d)
    50 metres North
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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To solve this problem, let's break down the given information step by step:

1. Ashok started walking towards the South.
2. After walking 50 meters, he took a right turn and walked 30 meters.
3. He then took a right turn and walked 100 meters.
4. He again took a right turn and walked 30 meters and stopped.

To find out Ashok's final position and distance from the starting point, we need to analyze the directions he took.

- Step 1: Walking towards the South
Ashok initially starts walking towards the South. Let's assume this as the starting point (Point A).

- Step 2: Taking a right turn and walking 30 meters
After walking 50 meters towards the South, Ashok takes a right turn. This means he is now facing West. He walks 30 meters in this direction. Let's assume this as Point B.

- Step 3: Taking a right turn and walking 100 meters
From Point B, Ashok takes a right turn again. This means he is now facing North. He walks 100 meters in this direction. Let's assume this as Point C.

- Step 4: Taking a right turn and walking 30 meters
Finally, from Point C, Ashok takes a right turn once again. This means he is now facing East. He walks 30 meters in this direction. Let's assume this as Point D, which is Ashok's final position.

- Finding the distance and direction from the starting point
To find the distance between the starting point (Point A) and the final position (Point D), we can use the Pythagorean theorem. Since Ashok walked 50 meters towards the South and then 30 meters towards the East, we can consider this as a right-angled triangle.

Using the Pythagorean theorem:
Distance^2 = (50)^2 + (30)^2
Distance^2 = 2500 + 900
Distance^2 = 3400
Distance = √3400
Distance ≈ 58.31 meters

Therefore, Ashok is approximately 58.31 meters away from the starting point in the direction of North-East.

Hence, the correct answer is option D) 50 meters North.
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Ashok started walking towards the South. After walking 50 metres he took a right turn and walked 30 metres. He then took a right turn and walked 100 metres. He again took a right turn and walked 30 metres and stopped. How far and in which direction was he from the starting point a) 50 metres Southb) 150 metres Northc) 180 metres Eastd) 50 metres Northe) None of theseCorrect answer is option 'D'. Can you explain this answer?
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Ashok started walking towards the South. After walking 50 metres he took a right turn and walked 30 metres. He then took a right turn and walked 100 metres. He again took a right turn and walked 30 metres and stopped. How far and in which direction was he from the starting point a) 50 metres Southb) 150 metres Northc) 180 metres Eastd) 50 metres Northe) None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ashok started walking towards the South. After walking 50 metres he took a right turn and walked 30 metres. He then took a right turn and walked 100 metres. He again took a right turn and walked 30 metres and stopped. How far and in which direction was he from the starting point a) 50 metres Southb) 150 metres Northc) 180 metres Eastd) 50 metres Northe) None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ashok started walking towards the South. After walking 50 metres he took a right turn and walked 30 metres. He then took a right turn and walked 100 metres. He again took a right turn and walked 30 metres and stopped. How far and in which direction was he from the starting point a) 50 metres Southb) 150 metres Northc) 180 metres Eastd) 50 metres Northe) None of theseCorrect answer is option 'D'. Can you explain this answer?.
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