Direction TestsMCQMTP June 24 Series IIQuestion 2325 of 165
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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?

Options

A10\displaystyle 10 m
B14\displaystyle 14 m
C38\displaystyle 38 m
D48\displaystyle 48 m
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Correct Answer

Option c38\displaystyle 38 m

All Options:

  • A10\displaystyle 10 m
  • B14\displaystyle 14 m
  • C38\displaystyle 38 m
  • D48\displaystyle 48 m

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Detailed Solution & Explanation

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

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Exam Strategy Tip

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

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