Question

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 ?

Accepted Answer

D. 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 $90^\circ$ counter-clockwise from North-East), her initial direction must also be rotated $90^\circ$ counter-clockwise from North, which is West. Hence, Option D is correct.

Initial Direction of Travel

Explanation

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