| Directions: What will come in place of question mark (?) in the following questions? |
| \[{{(0.125)}^{3}}\div {{(0.25)}^{2}}\times {{(0.5)}^{2}}={{(0.5)}^{?-3}}\] |
A) 12
B) 18
C) 14
D) 10
E) None of these
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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