Question

The value of $\frac{{\left(67.542\right)}^2-{\left(32.458\right)}^2}{75.458-40.374}$ is

• A. 10
• B. 1
• C. 100
• D. None of these

Answer 1

The correct option is C 100

$=\frac{(67.542{)}^2-(32.458{)}^2}{75.458-40.374}$

$=\frac{100\times 35.084}{35.084}$ $(a^2-b^2=(a+b\left)\right(a-b)$ in number)

$=100$