Initial Direction of Travel

CMAT 2024 · Logical Reasoning · Medium · Direction Sense

Miss 'Lilly' started her journey from her house and goes 2 km straight. Then, she turns towards her right and goes 1 km. She again turns towards her right and goes 1 km again. If finally she is in the north-west direction from her house, then in which direction did she go in the beginning ?

  1. A.

    North

  2. B.

    South

  3. C.

    East

  4. D.

    West

Answer

D

Explanation

If she started North: 2 km North →\rightarrow Right turn (East) 1 km →\rightarrow Right turn (South) 1 km. End position relative to start: North-East.

Since final position is given as North-West (which is 90∘90^\circ counter-clockwise from North-East), her initial direction must also be rotated 90∘90^\circ counter-clockwise from North, which is West.

Hence, Option D is correct.

Related Direction Sense questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace