Quantitative Aptitude Ques 955

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

$ {{(0.125)}^{3}}\div {{(0.25)}^{2}}\times {{(0.5)}^{2}}={{(0.5)}^{?-3}} $

Options:

A) 12

B) 18

C) 14

D) 10

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ {{(0.125)}^{3}}\div {{(0.25)}^{2}}\times {{(0.5)}^{2}}={{(0.5)}^{?-3}} $

$ \Rightarrow $ $ \frac{{{(0.5)}^{3\times 3}}}{{{(0.5)}^{2\times 2}}}\times {{(0.5)}^{2}}={{(0.5)}^{?-3}} $

$ \Rightarrow $ $ {{(0.5)}^{9-4+2}}={{(0.5)}^{?-3}} $ On comparing the power, we get $ 11-4=?-3 $

$ \Rightarrow $ $ 7=?-3 $
$ \Rightarrow $ $ x=10 $

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