Quantitative Aptitude Ques 755

Question: Directions: What will come in place of the question mark (?) in the following questions?

$ {{(4\times 4)}^{3}}\div {{(512\div 8)}^{4}}\times {{(32\times 8)}^{4}}={{(2\times 2)}^{?+4}} $

Options:

A) 8

B) 12

C) 6

D) 14

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \frac{{{(4\times 4)}^{3}}}{{{( \frac{512}{8} )}^{4}}}\times {{(32\times 8)}^{4}}={{(2\times 2)}^{?+4}} $

$ \Rightarrow $ $ \frac{{{(16)}^{3}}}{{{(64)}^{4}}}\times {{(32\times 8)}^{4}}={{(4)}^{?+4}} $

$ \Rightarrow $ $ \frac{4^{6}}{4^{12}}\times 4^{16}={{(4)}^{?+4}} $

$ \Rightarrow $ $ 4^{10}={4^{?+4}} $
$ \Rightarrow $ $ ?=6 $

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