Direction TestMTP Dec 2023 Series IIQuestion 2321 of 165
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Neha walked 2\displaystyle 2 lane west of her house and then turned south covering 4\displaystyle 4 km. Finally, she moved 3\displaystyle 3 km towards east and then again 1\displaystyle 1 km west. How far is she from her initial position?

Options

A7\displaystyle 7 km
B3\displaystyle 3 km
C4\displaystyle 4 km
D12\displaystyle 12 km
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Correct Answer

✅ Option c — 4\displaystyle 4 km

All Options:

  • A7\displaystyle 7 km
  • B3\displaystyle 3 km
  • C4\displaystyle 4 km
  • D12\displaystyle 12 km

Detailed Solution & Explanation

Let us map Neha's path on Cartesian coordinates starting at (0,0)\displaystyle (0,0):
- Walks 2 lanes West   ⟹  (−2,0)\displaystyle \implies (-2, 0).
- Turns South and walks 4 km   ⟹  (−2,−4)\displaystyle \implies (-2, -4).
- Moves 3 km East   ⟹  (1,−4)\displaystyle \implies (1, -4).
- Moves 1 km West   ⟹  (0,−4)\displaystyle \implies (0, -4).
The distance from starting point (0,0)\displaystyle (0,0) to the final position (0,−4)\displaystyle (0, -4) is exactly 4 km.
Hence, **Option C** is the correct answer.

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