The value of
$$\frac{(0.251)^2 - (0.051)^2 - (0.511)^2 - 2(0.051)(0.511)}{(0.251)^2 - (0.051)^2 - 2(0.251)(0.051) - (0.511)^2}$$ is

Expression : $$\frac{(0.251)^2 - (0.051)^2 - (0.511)^2 - 2(0.051)(0.511)}{(0.251)^2 - (0.051)^2 - 2(0.251)(0.051) - (0.511)^2}$$

Let $$x=0.251,y=0.051,z=0.511$$

= $$\frac{x^2-(y^2+z^2+2yz)}{(x^2-y^2-2xy)-z^2}$$

= $$\frac{x^2-(y+z)^2}{(x-y)^2-z^2}$$

= $$\frac{(x+y+z)(x-y-z)}{(x-y-z)(x-y+z)}$$

= $$\frac{x+y+z}{x-y+z}$$

= $$\frac{0.251+0.051+0.511}{0.251-0.051+0.511}=\frac{0.813}{0.711}=\frac{271}{237}$$

=> Ans - (A)