Relative positions of five towns: A is West of B; C is South of A; E is North of B; D is East of E. In which direction is C with respect to D?

Difficulty: Medium

Correct Answer: South-West

Explanation:


Introduction / Context:
Translate relational clues into a coordinate sketch to compare D and C.


Given Data / Assumptions:

  • Let A = (0,0), B East of A ⇒ B = (1,0).
  • C South of A ⇒ C = (0,−1).
  • E North of B ⇒ E = (1,1).
  • D East of E ⇒ D = (2,1).


Concept / Approach:
Compute vector from D to C: C − D = (0−2, −1−1) = (−2, −2) ⇒ South-West.


Step-by-Step Solution:

Place points per relations.Find displacement D→C.Both components negative ⇒ SW.


Verification / Alternative check:
Graphing confirms C lies diagonally down-left from D.


Why Other Options Are Wrong:
They indicate incorrect quadrants.


Common Pitfalls:
Answering direction of D from C instead of C from D.


Final Answer:
South-West

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