Direction TestsMCQMTP June 24 Series IIQuestion 2325 of 165
All Questions

The length and breadth of a room are 8\displaystyle 8 m and 6\displaystyle 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?

Select Your Answer (Keyboard: A, B, C, D)
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — $38$ m

All Options:

  • A$10$ m
  • B$14$ m
  • C$38$ m
  • D$48$ m

Detailed Solution & Explanation

The cat runs along all four walls, covering the perimeter of the room:
Perimeter=2×(8+6)=28 mPerimeter=2\displaystyle \text{Perimeter} = 2 ×\displaystyle \times (8 + 6) = 28 m\displaystyle \text{ m}
Finally, the cat runs along the diagonal:
Diagonal=82+62=64+36=10 mDiagonal=82+62=64+36=10\displaystyle \text{Diagonal} = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = 10 m\displaystyle \text{ m}
The total distance covered by the cat is:
Total Distance=28+10=38 mTotal Distance=28+10=38\displaystyle \text{Total Distance} = 28 + 10 = 38 m\displaystyle \text{ m}
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.

Related Comparison Tables

More Questions from Direction Tests

Ready to Master Direction Tests?

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

Start Practicing — It's Free