GATE CS 2015 Set 2 — Question 10
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
Four branches of a company are located at M, N, O, and P. M is north of N at a distance of 4 km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?
Correct answer
(A) 5.34
Solution
Let the position of O be at the origin .
The distance is approximately 5.34 km.
1.Position of P: P is south of O at a distance of 2 km.
2.Position of N: N is southeast of O by 1 km. Southeast implies an angle of (or ) from the positive x-axis.
3.Position of M: M is north of N at a distance of 4 km.
4.Distance between M and P:
Using the distance formula :The distance is approximately 5.34 km.
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