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.

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