Ajay, who is facing exactly in south-east direction, turns 45 degree in anti…

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Ajay, who is facing exactly in south-east direction, turns 45 degree in anti clock-wise direction, then 135 degree clockwise direction and then 90 degree in anti clock wise direction. In which direction Ajay is facing now?

  1. A.

    North-West

  2. B.

    East

  3. C.

    South-East

  4. D.

    West

Attempted by 9 students.

Show answer & explanation

Correct answer: C

Key insight: the clockwise and counterclockwise rotations cancel, giving a net rotation of 0°.

  • Step 1: Start facing south-east.

  • Step 2: Turn 45° anti-clockwise → face east.

  • Step 3: Turn 135° clockwise → face south-west.

  • Step 4: Turn 90° anti-clockwise → face south-east.

Net rotation: counterclockwise 45° + 90° = 135°, clockwise = 135°, so net = 0°.

Final direction: south-east.

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