Find the value of $$\frac{(0.06)^2 + (0.66)^2 + (0.666)^2}{(0.006)^2 + (0.066)^2 + (0.0666)^2}$$​

Correct option is D

Given: ​

​$$\frac{(0.06)^2 + (0.66)^2 + (0.666)^2}{(0.006)^2 + (0.066)^2 + (0.0666)^2}$$ 

Solution: ​

​$$\frac{(0.06)^2 + (0.66)^2 + (0.666)^2}{(0.006)^2 + (0.066)^2 + (0.0666)^2} \\ \ \\ = \frac{(0.06)^2 + (0.66)^2 + (0.666)^2}{\left(\frac{0.06}{10}\right)^2 + \left(\frac{0.66}{10}\right)^2 + \left(\frac{0.666}{10}\right)^2} \\ \ \\ = \frac{(0.06)^2 + (0.66)^2 + (0.666)^2}{\frac{1}{(10)^2}[(0.06)^2 + (0.66)^2 + (0.666)^2]} \\ \ \\ = \frac{1}{\frac{1}{100}} =100$$​​