Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2022 (21.02.2023) Shift-I
A person walks 30 metres north, then turns right and walks 30 metres. He then turns right and walks 45 metres. Then he turns left and walks 15 metres. Again he turns left and walks 15 metres. In which direction and how far is the person from the starting point?
A45 metres, west
B35 metres, east
C35 metres, west
D45 metres, east ✓ Correct
Correct answer: (D) 45 metres, east — The person is 45 metres east of the start, so the answer is 45 metres, east.
Explanation
★The person is 45 metres east of the start, so the answer is 45 metres, east.
★He first walks 30 metres north, then turns right to face east and walks 30 metres east.
★He turns right again to face south and walks 45 metres south, cancelling the 30 north and going 15 south.
★He turns left to face east and walks 15 metres east.
★He turns left again to face north and walks 15 metres north, cancelling the earlier 15 south.
★So his net movement is 30 plus 15, which is 45 metres east, with no net north-south shift.
★So he is 45 metres east of the starting point.
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