Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D/3D

Question:

A wheel makes 2000 rounds when it covers a distance of 88 km. Find the radius of the wheel?

Options:

7 m

10.5 m

14 m

21 m

Correct Answer:

7 m

Explanation:

The correct answer is Option (1) → 7 m

Total distance covered = 88 km = 88,000 m

Number of rounds = 2000

So, circumference of the wheel:

$\text{Circumference} = \frac{88{,}000}{2000} = 44 \text{ m}$

Now,

$2\pi r = 44 \Rightarrow r = \frac{44}{2\pi} = \frac{22}{\pi}$

Using $\pi = \frac{22}{7}$​:

$r = \frac{22}{22/7} = 7 \text{ m}$