Quantitative Aptitude Ques 939

Question: The diameter of the Moon is assumed to be one-fourth of the diameter of the Earth. Then, the ratio of the volume of the Earth to that of the Moon is

Options:

A) 64 : 1

B) 1 : 64

C) 60 : 7

D) 7 : 60

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the diameter of Earth be d. Then, diameter of moon $ =\frac{1}{4}d $

$ \therefore $ $ Ratio=\frac{VolumeofEarth}{VolumeofMoon}=\frac{\frac{4}{3}\pi {{( \frac{d}{2} )}^{3}}}{\frac{4}{3}\pi {{( \frac{d}{8} )}^{3}}}=64:1 $

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