Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (13.12.2023) Shift-I
A policeman goes 20 metres towards South and then turns to his right and walks 40 metres. He again turns to his left and walks 10 metres. How far is he now from his starting point?
A37.5 metres
B50 metres ✓ Correct
C30 root 2 metres
D40 metres
Correct answer: (B) 50 metres — The policeman is 50 metres from his starting point, so that is the answer.
Explanation
★The policeman is 50 metres from his starting point, so that is the answer.
★He walks 20 metres south, then 40 metres west, then 10 metres south.
★His total southward displacement is 20 plus 10, which is 30 metres.
★His westward displacement is 40 metres.
★By the Pythagoras theorem the distance is the square root of 30 squared plus 40 squared.
★That is the square root of 2500, which equals 50 metres.
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