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Praveen started moving towards his south and stops after walking certain kilometers. He then moves to the south-west direction and travels the same distance and stops, at another point he moved to his north. Finally, he moves to his north-west and stops at a point. If the distance between each point is same (say x), then, in which direction is the point where he took his final turn with respect to his starting point?
  • a)
    West
  • b)
    South-west
  • c)
    South
  • d)
    Can't be determined
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Praveen started moving towards his south and stops after walking cert...
Clearly, that point is to the south-west of the initial point.
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Most Upvoted Answer
Praveen started moving towards his south and stops after walking cert...
Explanation:

To solve this question, let's assume that Praveen stopped at point A after moving towards his south for x kilometers.

Moving towards South-west:
After stopping at point A, Praveen moves towards the south-west direction for the same distance x. Let's assume he stops at point B.

Moving towards North:
From point B, Praveen moves towards the north for the same distance x. Let's assume he stops at point C.

Moving towards North-west:
Finally, from point C, Praveen moves towards the north-west direction for the same distance x. Let's assume he stops at point D.

Now, let's analyze the directions Praveen took at each point and find out the direction of point D with respect to his starting point.

Direction from A to B:
Praveen moves towards the south-west direction, which means the angle between the south direction and the line AB is 45 degrees.

Direction from B to C:
Praveen moves towards the north direction, which means the angle between the south direction and the line BC is 180 degrees.

Direction from C to D:
Praveen moves towards the north-west direction, which means the angle between the south direction and the line CD is 135 degrees.

Conclusion:
From the given information, we can see that the angle made by Praveen at each turn is decreasing. He first took a 45-degree turn, followed by a 180-degree turn, and finally a 135-degree turn.

Since the angle of the final turn is less than 180 degrees, we can conclude that the point where Praveen took his final turn is in the south-west direction with respect to his starting point.

Therefore, the correct answer is option 'B' - South-west.
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Praveen started moving towards his south and stops after walking certain kilometers. He then moves to the south-west direction and travels the same distance and stops, at another point he moved to his north. Finally, he moves to his north-west and stops at a point. If the distance between each point is same (say x), then, in which direction is the point where he took his final turn with respect to his starting point?a)Westb)South-westc)Southd)Can't be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?
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