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Namita starts from point A and drives 6 km towards the South. She takes two simultaneous left turns and drives 4 km and 3 km respectively. She takes a right turn and drives 2 km. She takes a final left turn and drives 3 km to reach point B. How far (shortest distance) and towards which direction should she drive to reach Point A again? (All turns are 90 degrees only unless specified.)
6 km West
6 km South
4 km West
3 km South
6 km West
Track the coordinate changes: Start(0,0). South 6 (-6Y), two left turns mean effectively moving East then North (or North then East based on sequence). Break down the x,y displacement carefully.
Track the coordinate changes: Start(0,0). South 6 (-6Y), two left turns mean effectively moving East then North (or North then East based on sequence). Break down the x,y displacement carefully.
Establish Coordinates
Start at A (0,0). Namita drives 6 km South: reaches (0, -6).
Left Turn Sequence
She takes two simultaneous left turns. From South, 1st left is East (+4 km тЖТ (4, -6)). 2nd left is North (+3 km тЖТ (4, -3)).
Final Turns
She turns right (East, +2 km тЖТ (6, -3)) then left (North, +3 km тЖТ (6, 0)). Wait, the official coordinate landing is Point B at (6, 0). To return to origin A(0,0), she must move 6 km West.
B, C, and D reflect incorrect arithmetic or coordinate tracking regarding the relative positioning of point B to A.
A is correct because the sequence of turns and distances places point B exactly 6 km East of point A, therefore she must travel 6 km West to return.
In long movement puzzles, always establish a (0,0) coordinate origin and track X and Y changes for every single move to avoid accumulation errors.
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