Quantitative Aptitude Ques 2234

Question: Which of the following is a perfect square as well as a cube?

343, 125, 81 or 64

Options:

A) 81

B) 343

C) 125

D) 64

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ 343=7\times 7\times 7=7^{3} $
    $ \Rightarrow $ $ 125=5^{3} $
    $ \Rightarrow $ $ 81=3^{4} $ $ 64=8\times 8=8^{2} $ or $ {{(4)}^{3}} $

$ \therefore $ 64 is a perfect square of 8 as well as a perfect cube of 4.

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