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What is the value of $$\frac{1}{{{{\left( {0.1} \right)}^2}}} + \frac{1}{{{{\left( {0.01} \right)}^2}}} + \frac{1}{{{{\left( {0.5} \right)}^2}}} + \frac{1}{{{{\left( {0.05} \right)}^2}}}$$
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& \frac{1}{{{{\left( {0.1} \right)}^2}}} + \frac{1}{{{{\left( {0.01} \right)}^2}}} + \frac{1}{{{{\left( {0.5} \right)}^2}}} + \frac{1}{{{{\left( {0.05} \right)}^2}}} \cr
& = \frac{1}{{0.1 \times 0.1}} + \frac{1}{{0.01 \times 0.01}} + \frac{1}{{0.5 \times 0.5}} + \frac{1}{{0.05 \times 0.05}} \cr
& = 100 + 10000 + 4 + 20 \times 20 \cr
& = 100 + 10000 + 4 + 400 \cr
& = 10504 \cr} $$
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