SATHEE: Quantitative Aptitude Ques 1691

Quantitative Aptitude Ques 1691

Question: The value of question mark (?) in $ {{(4\times 4\times 4\times 4\times 4\times 4)}^{5}}\times {{(4\times 4\times 4)}^{8}}\div {{(4)}^{3}}={{(64)}^{?}} $ is

Options:

A) 17

B) 10

C) 16

D) 11

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ {{(4\times 4\times 4\times 4\times 4\times 4)}^{5}}\times {{(4\times 4\times 4)}^{8}}\div {{(4)}^{3}}={{(64)}^{?}} $

$ \Rightarrow $ $ {{(4^{6})}^{5}}\times {{(4^{3})}^{8}}\times \frac{1}{{{(4)}^{3}}}={{(4^{3})}^{?}} $

$ \Rightarrow $ $ {{(4)}^{30}}\times {{(4)}^{24}}\times \frac{1}{{{(4)}^{3}}}={{(4^{3})}^{?}} $

$ \Rightarrow $ $ {{(4)}^{30+24-3}}=(4^{3}) $
$ \Rightarrow $ $ {{(4)}^{51}}={{(4^{3})}^{?}} $ On comparing both sides, we get $ 3\times ?=51 $
$ \Rightarrow $ $ ?=\frac{51}{3}=17 $

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Quantitative Aptitude Ques 1691

Question: The value of question mark (?) in $ {{(4\times 4\times 4\times 4\times 4\times 4)}^{5}}\times {{(4\times 4\times 4)}^{8}}\div {{(4)}^{3}}={{(64)}^{?}} $ is

Options:

Answer:

Solution:

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