Direction TestPYQ Dec 23Question 2266 of 165
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Kamal walks 10 km north from there he walks 6 km towards south. Then he walks 3 km towards east. How far and in which direction is he with reference to starting point?

Options

A5 km south – east
B7 km north – east
C5 km north – east
D7 km south – west
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Correct Answer

✅ Option c — 5 km north – east

All Options:

  • A5 km south – east
  • B7 km north – east
  • C5 km north – east
  • D7 km south – west

Detailed Solution & Explanation

Start at O(0,0)\displaystyle O(0, 0).
1. North 10\displaystyle 10 km →(0,10)\displaystyle \rightarrow (0, 10).
2. South 6\displaystyle 6 km →(0,4)\displaystyle \rightarrow (0, 4).
3. East 3\displaystyle 3 km →(3,4)\displaystyle \rightarrow (3, 4).
Distance =32+42=5\displaystyle = \sqrt{3^2 + 4^2} = 5 km. Direction is North-East.
*Discrepancy*: The key lists Option A (5\displaystyle 5 km South-East), but the correct direction is North-East (Option C).
Hence, **Option C** is the correct answer.

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