If North becomes South-East, East becomes South-West, South becomes North-West…

2023

If North becomes South-East, East becomes South-West, South becomes North-West and West becomes North-East, then what will North-West become?

  1. A.

    North

  2. B.

    East

  3. C.

    West

  4. D.

    South

Attempted by 82 students.

Show answer & explanation

Correct answer: B

Key idea: each direction is rotated 135° clockwise.

  • Step 1: Represent directions as angles: North = 0°, East = 90°, South = 180°, West = 270°, North‑West = 315°.

  • Step 2: From the given mappings (North → South‑East, East → South‑West, South → North‑West, West → North‑East) each direction is increased by 135°.

  • Step 3: Apply the same rotation to North‑West (315°): 315° + 135° = 450° ≡ 90°, which corresponds to East.

Conclusion: North‑West becomes East.

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