Quantitative Aptitude Ques 72
Question: A rope makes 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm. How many times can it go round a cylinder with radius 20 cm?
Options:
A) 40
B) 49
C) 100
D) None of the above
Show Answer
Answer:
Correct Answer: B
Solution:
- Let the required number of rounds be x. More radius, Less rounds [Indirect proportion]
$ \therefore $ $ \begin{matrix} 20:14 & :: & 70:x \\ \end{matrix} $
$ \Rightarrow $ $ 20\times x=14\times 70 $
$ \Rightarrow $ $ x=\frac{14\times 70}{20} $
$ \Rightarrow $ $ x=49 $
Hence, the required number of rounds is 49.