Direction TestPYQ Dec. 21Question 2260 of 165
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A person walks 1 km (kilometer) towards West and then he turns to South and walks 5 km. Again, he turns to West and walks 2 km. After this he turns to North and walks 9 km. How far is he from his starting point?

Options

A3 km
B4 km
C5 km
D7 km
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Correct Answer

✅ Option c — 5 km

All Options:

  • A3 km
  • B4 km
  • C5 km
  • D7 km

Detailed Solution & Explanation

Start at O(0,0)\displaystyle O(0, 0).
1. West 1\displaystyle 1 km →(−1,0)\displaystyle \rightarrow (-1, 0).
2. South 5\displaystyle 5 km →(−1,−5)\displaystyle \rightarrow (-1, -5).
3. West 2\displaystyle 2 km →(−3,−5)\displaystyle \rightarrow (-3, -5).
4. North 9\displaystyle 9 km →(−3,4)\displaystyle \rightarrow (-3, 4).
Distance =(−3)2+42=5\displaystyle = \sqrt{(-3)^2 + 4^2} = 5 km.
*Discrepancy*: The key lists Option B (4\displaystyle 4 km), but the correct distance is 5\displaystyle 5 km (Option C).
Hence, **Option C** is the correct answer.

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