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Question

A man is facing south. He turned 135 in the anticlockwise direction and then 180 in the clockwise direction. Which direction is the facing now?

A
North-east
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B
North-west
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C
South-east
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D
South-west
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Solution

The correct option is D South-west
Let us consider a Cartesian plane thinking positive X-axis as East; negative one as West; positive Y-axis as North; negative as South.
After turning 135o from south-facing direction he will be in first quadrant i.e. North East direction.
Immediately he turned 180o in clockwise direction, which lies in third quadrant that is in South West direction.
Hence, option D

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