Quantitative Aptitude Ques 552

Question: Directions: What approximate value should come in place of the question mark? in the following questions?

[SBI (PO) 2015] $ {{(8)}^{0.75}}\times {{(4096)}^{0.25}}\div {{(64)}^{-1}}={{(8)}^{?}} $

Options:

A) 2.25

B) 3.0

C) 3.25

D) 3.50

E) 3.75

Show Answer

Answer:

Correct Answer: E

Solution:

  • $ \frac{{{(8)}^{0.75}}\times {{(4096)}^{0.25}}}{{{(64)}^{-1}}}={8^{?}} $
    $ \Rightarrow $ $ \frac{{8^{0.75}}\times {{(8^{4})}^{0.25}}}{{8^{-2}}}={8^{?}} $

$ \Rightarrow $ $ {8^{1.75,+,2}}={8^{?}} $
$ \Rightarrow $ $ ?=3.75 $

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