Town A is to the West of Town B. Town P is to the South of Town A. Town Q is…
2023
Town A is to the West of Town B. Town P is to the South of Town A. Town Q is to the East of Town P. Then Town Q is towards which direction of Town A?
- A.
South
- B.
South West
- C.
South East
- D.
North
Show answer & explanation
Correct answer: C
Concept: In direction test problems, directions are analyzed using the standard compass framework: North (up), South (down), East (right), West (left), with diagonals like South-East lying between South and East. When a point is reached by moving in two different perpendicular directions from a reference point, its net direction from that reference lies along the diagonal combining both movements.
Application: Starting at Town A:
Town P is South of Town A, so moving from A takes you due South to reach P.
Town Q is East of Town P, so moving from P takes you due East to reach Q.
Combining a Southward displacement with an Eastward displacement places Q in the South-East direction relative to A.
Cross-check: Verifying with coordinates: let Town A be the origin (0, 0). Since P is South of A, P lies at (0, -1). Since Q is East of P, Q lies at (1, -1). Relative to A, Q has a positive x-coordinate (East) and a negative y-coordinate (South), confirming Q lies to the South-East of Town A. (Town A being West of Town B is additional information about B and does not affect the direction of Q from A.)