Direction TestsMCQMTP Nov 19Question 2302 of 165
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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
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Correct Answer

Option b12\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

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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:
BC=(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.

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.

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

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