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 $