Rekha starts from her house and goes 3 km straight. Then she turns towards her left and goes 1km. she again turns towards her left and goes 2km. if she is now in the North-East direction from her house, then in which direction did she go in the beginning?

Given:

First move = 3 km straight in an unknown direction

First left turn = 1 km

Second left turn = 2 km

Final position is in the North-East direction from the starting point

Let’s use direction logic:

Let’s assume the starting direction is East, and trace her movement:

East → 3 km forward

Left from East → North → 1 km

Left from North → West → 2 km

Now her position from start:

East 3 km then West 2 km → Net East = 1 km

Then North 1 km → Final position: 1 km East, 1 km North from start => North-East direction 

So, her initial direction must be East

Correct Answer: (d) East