Simplify:$100 0.51 ^2 + 0.05 ^2 + 0.023 ^2 0.051 ^2 + 0.005 ^2 + 0.0023 ^2 $

Simplify:\(100 0.51 ^2 + 0.05 ^2 + 0.023… | Answer

Subject

Quantitative Aptitude

Topic

Simplification

ক)

2000

খ)

100

গ)

1000

ঘ)

5000

ঙ)

None of these

Given expression:

100{\rm{\;}} \times \frac{{{{0.51}^2} + {{0.05}^2} + {{0.023}^2}}}{{{{0.051}^2} + {{0.005}^2} + {{0.0023}^2}}}

Let 0.51 = a, 0.05 = b, 0.023 = c Then the given expression becomes

100{\rm{\;}} \times \frac{{{a^2} + {b^2} + {c^2}}}{{{{\left( {0.1 \times a} \right)}^2} + {{\left( {0.1 \times b} \right)}^2} + {{\left( {0.1 \times c} \right)}^2}}}

\Rightarrow \frac{{100}}{{0.01}}{\rm{\;}} \times \frac{{{a^2} + {b^2} + {c^2}}}{{{{\left( a \right)}^2} + {{\left( b \right)}^2} + {{\left( c \right)}^2}}}

= 10000

x = \sqrt {\left( {1.96} \right)} - \sqrt {\left( {0.04} \right)}