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From point A, Ram moves 100m in north-east direction, he again turns and moves 100m in south-east direction. He again turns and covers 100m south-west and finally covers 100m in north-west direction. In which direction is he now with respect to A?

  1. A
    West
  2. B
    South-west
  3. C
    At point A
  4. D
    East

Solution & Step-by-step Explanation

Let's plot Ram's movements step by step starting from the origin A(0,0):
Move 1: 100m North-East
This path moves diagonally upwards and to the right.

Move 2: 100m South-East
Turning 90

clockwise, he moves diagonally downwards and to the right.

Move 3: 100m South-West
Turning another 90

clockwise, he moves diagonally downwards and to the left.

Move 4: 100m North-West
Turning another 90

clockwise, he moves diagonally upwards and to the left.

Since all four paths are equal in length (100m) and form consecutive perpendicular directions, they trace a perfect square tilted at 45

. The final movement brings him precisely back to his starting position, Point A.

Practice this question

Try it yourself before checking the explanation above.

From point A, Ram moves 100m in north-east direction, he again turns and moves 100m in south-east direction. He again turns and covers 100m south-west and finally covers 100m in north-west direction. In which direction is he now with respect to A?
A
West
B
South-west
C
At point A
D
East

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