GATE 2021 BM – Question 6

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

Starting at O, travel 3 units east then 4 units south to P. From P travel northeast to a point 6 units east of O, then northwest to Q, which is 8 units north of P. What is distance OQ?

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Correct answer: (C) 5

Explanation

Take O=(0,0), east as positive x and north as positive y. Then P=(3,−4). Because Q is eight units directly north of P, Q=(3,4). Hence OQ=√(3²+4²)=5 units, C. The intermediate northeast/northwest route does not change these endpoint coordinates.

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