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Direction and Distance - Ajay's Walk

MAT 2018 · Intelligence & Critical Reasoning · Easy · Logical Reasoning

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Mr Ajay started from his house, walked 4 km north, then 6 km west, then 12 km south. How far was he from his home then?

  1. A.

    8 km

  2. B.

    5 km

  3. C.

    20 km

  4. D.

    10 km

Answer

D

Explanation

Position relative to home: North-South displacement = 4−12=−84 - 12 = -8 km (8 km South). East-West displacement = −6-6 km (6 km West). Direct distance = 82+62=64+36=100=10\sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10 km.

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