I walked 5 meters in East and then took a left turn and again walked 5 metres. From there I walked 3 meters towards North. Then I took two consecutive left turns, and walked 3 meters each time. In which direction am I now from the starting point? MCQ with Answer and Explanation
I walked 5 meters in East and then took a left turn and again walked 5 metres. From there I walked 3 meters towards North. Then I took two consecutive left turns, and walked 3 meters each time. In which direction am I now from the starting point?
A. Southwest
B. South
C. northeast
D. North
Answer: Option C
Solution (By JKExamLibrary)
Path: 5m East, 5m North (left turn), 3m North = 8m North total. First left turn from North puts me West 3m. Second left turn puts me South 3m. Total East = 5 - 3 = 2m. Total North = 8 - 3 = 5m. Since I am East and North of the start, the direction is North-East.
Jainav is initially facing a certain direction. Then she turns 90° clockwise, after that she turns 180° anticlockwise. Then she turns 135° anticlockwise. She finally turns 180° clockwise. Now she is facing north-east direction. In which direction was Jainav initially facing before turning?
Explanation:
Let clockwise turns be positive and anticlockwise be negative. Total turn = +90° - 180° - 135° + 180° = -45° (which means 45° anticlockwise). Her final direction is North-East. If she arrived at North-East after a 45° anticlockwise turn, her initial direction must have been East.
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