Direction TestPYQ July 21Question 2259 of 165
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Five friends A, B, C, D, E are staying in the same locality. B's house is to the East of A's house and to the North of C's house. C's house is to the West of D's house. D's house is in which direction with respect to A's house?

Options

ANorth – East
BSouth – East
CNorth – West
DSouth – West
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Correct Answer

✅ Option b — South – East

All Options:

  • ANorth – East
  • BSouth – East
  • CNorth – West
  • DSouth – West

Detailed Solution & Explanation

Let A's house be A(0,0)\displaystyle A(0, 0).
1. B is East of A →B(xB,0)\displaystyle \rightarrow B(x_B, 0), xB>0\displaystyle x_B > 0.
2. B is North of C →C(xB,−yC)\displaystyle \rightarrow C(x_B, -y_C), yC>0\displaystyle y_C > 0.
3. C is West of D →D(xB+xD,−yC)\displaystyle \rightarrow D(x_B + x_D, -y_C), xD>0\displaystyle x_D > 0.
Since D has xD+xB>0\displaystyle x_D + x_B > 0 and −yC<0\displaystyle -y_C < 0, D is South-East of A.
*Discrepancy*: The key lists Option D (South-West), but the correct direction is South-East (Option B).
Hence, **Option B** is the correct answer.

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