| Directions: What will come in place of question mark (?) in the following questions? |
| \[(0.064)\times {{(0.4)}^{7}}={{(0.4)}^{?}}\times {{(0.0256)}^{2}}\] |
A) 17
B) 2
C) 18
D) 3
E) None of these
Correct Answer: B
Solution :
| \[(0.064)\times {{(0.4)}^{7}}={{(0.4)}^{?}}\times {{(0.0256)}^{2}}\] |
| \[\Rightarrow \] \[{{(0.4)}^{3}}\times {{(0.4)}^{7}}={{(0.4)}^{?}}\times {{(0.4)}^{4\times 2}}\] |
| \[\Rightarrow \] \[{{(0.4)}^{3+7}}={{(0.4)}^{?}}\times {{(0.4)}^{8}}\] |
| \[\Rightarrow \] \[\frac{{{(0.4)}^{10}}}{{{(0.4)}^{8}}}={{(0.4)}^{?}}\] |
| \[\Rightarrow \] \[{{(0.4)}^{10-8}}={{(0.4)}^{?}}\]\[\Rightarrow \]\[{{(0.4)}^{2}}={{(0.4)}^{?}}\] |
| \[\therefore \] \[?=2\] |
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