Direction TestsMCQPYQ 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 bSouth – East

All Options:

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

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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.

About This Chapter: Direction Tests

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Direction Sense Test

This chapter covers Direction Sense Test and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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