Quantitative Aptitude Ques 2358

Question: The greatest number among $ 3^{50}, $ $ 4^{40}, $ $ 5^{30} $ and $ 6^{20} $ is

Options:

A) $ 6^{20} $

B) $ 5^{30} $

C) $ 3^{50} $

D) $ 4^{40} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ 3^{50}={{(3^{5})}^{10}}={{(243)}^{10}} $
    $ \Rightarrow $ $ 4^{40}={{(4^{4})}^{10}}={{(256)}^{10}} $ $ 5^{30}={{(5^{3})}^{10}}={{(125)}^{10}} $
    $ \Rightarrow $ $ 6^{20}={{(6^{2})}^{10}}={{(36)}^{10}} $

$ \therefore $ Greatest number is $ 4^{40}. $

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