Direction TestMTP June 24 Series IQuestion 2279 of 165
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Rashmi walked 2 km west of her house and then turned south covering 4 km. Finally, she moved 3 km towards east and then again 1 km west. How far is she from her initial position?

Options

A7 km
B3 km
C4 km
D12 km
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Correct Answer

✅ Option c — 4 km

All Options:

  • A7 km
  • B3 km
  • C4 km
  • D12 km

Detailed Solution & Explanation

Start at H(0,0)\displaystyle H(0, 0).
1. West 2\displaystyle 2 km →(−2,0)\displaystyle \rightarrow (-2, 0).
2. South 4\displaystyle 4 km →(−2,−4)\displaystyle \rightarrow (-2, -4).
3. East 3\displaystyle 3 km →(1,−4)\displaystyle \rightarrow (1, -4).
4. West 1\displaystyle 1 km →(0,−4)\displaystyle \rightarrow (0, -4).
Distance from start =02+(−4)2=4\displaystyle = \sqrt{0^2 + (-4)^2} = 4 km.
Hence, **Option C** is the correct answer.

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