Direction TestMTP Dec 2022 - Series IQuestion 2273 of 165
All Questions

From home Neha goes towards North for her college and then she turns left and then turns right, and finally she turns left and reaches college. In which direction her college is situated with respect to her home?

Options

ASouth-West
BNorth-East
CNorth-West
DSouth-East
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Correct Answer

✅ Option c — North-West

All Options:

  • ASouth-West
  • BNorth-East
  • CNorth-West
  • DSouth-East

Detailed Solution & Explanation

Start at home H(0,0)\displaystyle H(0, 0) facing North.
1. North a\displaystyle a m →(0,a)\displaystyle \rightarrow (0, a).
2. Left (West) b\displaystyle b m →(−b,a)\displaystyle \rightarrow (-b, a).
3. Right (North) c\displaystyle c m →(−b,a+c)\displaystyle \rightarrow (-b, a+c).
4. Left (West) d\displaystyle d m →(−b−d,a+c)\displaystyle \rightarrow (-b-d, a+c).
Final position has x<0\displaystyle x < 0 and y>0\displaystyle y > 0, which is North-West.
Hence, **Option C** is the correct answer.

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