Direction TestMTP Nov 19Question 2302 of 165
All Questions

Town D is 12\displaystyle 12 km towards the North of A. Town C is 15\displaystyle 15 km towards the West of town D. Town B is 15\displaystyle 15 km towards the west of town A. How far and which direction is town B from town C ?

Options

A15\displaystyle 15 Km towards North
B12\displaystyle 12 Km towards South
C3\displaystyle 3 km towards South
D12\displaystyle 12 km towards South
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 12\displaystyle 12 Km towards South

All Options:

  • A15\displaystyle 15 Km towards North
  • B12\displaystyle 12 Km towards South
  • C3\displaystyle 3 km towards South
  • D12\displaystyle 12 km towards South

Detailed Solution & Explanation

Let Town A be at the origin (0,0)\displaystyle (0,0).
- Town D is 12 km North of A   ⟹  D=(0,12)\displaystyle \implies D = (0, 12).
- Town C is 15 km West of D   ⟹  C=(−15,12)\displaystyle \implies C = (-15, 12).
- Town B is 15 km West of A   ⟹  B=(−15,0)\displaystyle \implies B = (-15, 0).
The displacement vector from C to B is:
B−C=(−15,0)−(−15,12)=(0,−12)B - C = (-15, 0) - (-15, 12) = (0, -12)
This represents a distance of 12 km in the South direction.
Hence, **Option B** is the correct answer.

More Questions from Direction Test

Ready to Master Direction Test?

Practice all 165 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free