I walk 30 metres in North-West direction from my house and then 30 metres in…

2026

I walk 30 metres in North-West direction from my house and then 30 metres in South-west direction. After this I walk 30 metres in South-East direction. Now, I turn to my house, in what direction am I going?

  1. A.

    South west

  2. B.

    North west

  3. C.

    North east

  4. D.

    South east

Attempted by 46 students.

Show answer & explanation

Correct answer: C

Let's trace the movement starting from the house at (0, 0).

  1. Walk 30m North-West: You move to position (-x, x).

  2. Walk 30m South-West: From (-x, x), moving SW adds (-x, -x). Your new position is (-2x, 0). You are now directly West of the house.

  3. Walk 30m South-East: From (-2x, 0), moving SE adds (x, -x). Your final position is (-x, -x).

This final position corresponds to South-West relative to the house. To return to the house (0, 0), you must travel in the opposite direction of South-West, which is North-East.

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