Direction TestsPYQ Jan 26Question 4275 of 165
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Mr. Q walks 20 km north, then walks 14 km south, and then walks 8 km east. How far is he from his starting point?

Options

A6 km
B8 km
C10 km
D12 km
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Correct Answer

✅ Option c — 10 km

All Options:

  • A6 km
  • B8 km
  • C10 km
  • D12 km

Detailed Solution & Explanation

Let the starting point of Mr. Q be the origin (0,0)\displaystyle (0, 0). Let us track his movement in coordinates: 1. Walk 20 km\displaystyle 20\text{ km} North: Position =(0,20)\text{Position } = (0, 20) 2. Walk 14 km\displaystyle 14\text{ km} South (moving downwards along the y-axis): Position =(0,20−14)=(0,6)\text{Position } = (0, 20 - 14) = (0, 6) 3. Walk 8 km\displaystyle 8\text{ km} East (moving right along the x-axis): Position =(0+8,6)=(8,6)\text{Position } = (0 + 8, 6) = (8, 6)
Now we calculate the distance of the final position (8,6)\displaystyle (8, 6) from the starting point (0,0)\displaystyle (0, 0) using the distance formula: Distance=(8−0)2+(6−0)2\text{Distance} = \sqrt{(8 - 0)^2 + (6 - 0)^2} Distance=82+62=64+36=100=10 km\text{Distance} = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10\text{ km} Hence, **Option C** 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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