SSC CPO SI and ASI Model Paper 7

(3) The two sides are 5x and 12x.Then the hypotenuse is,
$\sqrt{{\left(5\mathit{x}\right)}^2+{\left(12\mathit{x}\right)}^2}=\sqrt{169{\mathit{x}}^2}=13\mathit{x}$
The largest square will be made bytaking 13x as its side while thesmallest will be made by taking 5xas its side. Ratio of areas of thelargest square to the smallestsquare is
$\frac{{\left(13\mathit{x}\right)}^2}{{\left(5\mathit{x}\right)}^2}=\frac{169}{25}=169:25$