Study the following information carefully and answer the question given below:…
2025
Study the following information carefully and answer the question given below:
Ritika starts walking from point A towards the east. After walking 7 m, she reaches point B; from there she turns right and walks 2 m to reach point C. Now she turns left and walks 9 m to reach point E. Then she turns left again and walks 4 m to reach point G. From there, she turns and takes two consecutive left turns and walks 2 m each to reach point D. From there, she turns right and walks 6 m to reach point K. Now finally she takes the right turn again and walks for 5 m to reach point L.
In which direction is point G with respect to point A?
- A.
North
- B.
East
- C.
North-east
- D.
South-east
- E.
North-west
Attempted by 4 students.
Show answer & explanation
Correct answer: C
Concept
In a direction-sense problem, fix a compass frame (East = +x, North = +y) and convert every turn relative to the current facing: a right turn rotates the heading 90° clockwise (E→S→W→N→E), a left turn rotates it 90° anticlockwise (E→N→W→S→E). Track coordinates leg by leg; the final direction of one point relative to another is read from the signs of the differences in their x (East/West) and y (North/South) coordinates.
Application
Place A at the origin (0, 0) and follow each leg up to G:
Facing East, walk 7 m: A(0, 0) → B(7, 0).
At B turn right — East becomes South — walk 2 m: B(7, 0) → C(7, −2).
At C turn left — South becomes East — walk 9 m: C(7, −2) → E(16, −2).
At E turn left — East becomes North — walk 4 m: E(16, −2) → G(16, 2).
Comparing G(16, 2) with A(0, 0): the x-difference is +16 (G is East of A) and the y-difference is +2 (G is North of A). A point that is both East and North lies in the North-east direction.
Cross-check
The net horizontal travel is 7 m + 9 m = 16 m to the East with no westward leg, so G is firmly East of A. Vertically, Ritika first drops 2 m South then climbs 4 m North, a net of +2 m, so G ends up North of A as well. Both components confirm North-east.