What is the value of $$\frac{1}{{{{\left( {0.1} \right)}^2}}} + \frac{1}{{{{\left( {0.01} \right)}^2}}} + \frac{1}{{{{\left( {0.5} \right)}^2}}} + \frac{1}{{{{\left( {0.05} \right)}^2}}}$$

Solution (By Examveda Team)

$$\eqalign{ & \frac{1}{{{{\left( {0.1} \right)}^2}}} + \frac{1}{{{{\left( {0.01} \right)}^2}}} + \frac{1}{{{{\left( {0.5} \right)}^2}}} + \frac{1}{{{{\left( {0.05} \right)}^2}}} \cr & = \frac{1}{{0.1 \times 0.1}} + \frac{1}{{0.01 \times 0.01}} + \frac{1}{{0.5 \times 0.5}} + \frac{1}{{0.05 \times 0.05}} \cr & = 100 + 10000 + 4 + 20 \times 20 \cr & = 100 + 10000 + 4 + 400 \cr & = 10504 \cr} $$