Question

The value of $\frac{0.25\times 0.25-0.24\times 0.24}{0.49}=?$

• A. $0.0006$
• B. $0.49$
• C. $0.01$
• D. $0.1$

Answer 1

The correct option is C $0.01$

Given, $\frac{0.25\times 0.25-0.24\times 0.24}{0.49}$
Using the identity $a^2-b^2=(a+b)(a-b)$
$\therefore 0.25\times 0.25-0.24\times 0.24=(0.25+0.24)(0.252-0.24)=\left(0.49\right)\left(0.01\right)$
Thus, $\frac{0.25\times 0.25-0.24\times 0.24}{0.49}=\frac{0.49\times 0.01}{0.49}$ = $0.01$