Direction TestsPYQ Jan 26Question 4273 of 165
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A man drives 10 km towards north; from there he turns towards right and drive 3 Km. then he takes right turn and drives 6 km. How far and in which direction is he with reference to starting point?

Options

A5 km North-east
B3 km North-east
C5 km South-east
D3 km South-east
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Correct Answer

✅ Option a — 5 km North-east

All Options:

  • A5 km North-east
  • B3 km North-east
  • C5 km South-east
  • D3 km South-east

Detailed Solution & Explanation

Let the starting point of the man be at the origin (0,0)\displaystyle (0, 0) on a Cartesian coordinate plane, where: - The positive y-axis represents North - The positive x-axis represents East
Let us track his movements: 1. He drives 10 km\displaystyle 10\text{ km} towards North: Position P1=(0,10)\text{Position } P_1 = (0, 10) 2. He turns right (East) and drives 3 km\displaystyle 3\text{ km}: Position P2=(0+3,10)=(3,10)\text{Position } P_2 = (0 + 3, 10) = (3, 10) 3. He turns right (South) and drives 6 km\displaystyle 6\text{ km}: Position P3=(3,10−6)=(3,4)\text{Position } P_3 = (3, 10 - 6) = (3, 4)
Now we calculate the distance of his final position P3(3,4)\displaystyle P_3(3, 4) from the starting point (0,0)\displaystyle (0, 0) using the distance formula: Distance=(3−0)2+(4−0)2=32+42\text{Distance} = \sqrt{(3 - 0)^2 + (4 - 0)^2} = \sqrt{3^2 + 4^2} Distance=9+16=25=5 km\text{Distance} = \sqrt{9 + 16} = \sqrt{25} = 5\text{ km}
Since his final coordinates are positive for both x\displaystyle x and y\displaystyle y, he is in the North-East direction relative to the starting point. Hence, **Option A** 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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