If $A:B=\frac{1}{2}:\frac{5}{8}, B:C=\frac{1}{3}:\frac{4}{5}$ and $C:D=\frac{3}{4}:\frac{5}{16}$, then the ratio $A: B: C: D$ is:

$4:5:3:12$ $4:12:3:5$ $4:5:12:5$ $4:12:5:3$

$4:5:12:5$

Answer :-  (C) 4 : 5 : 12 : 5 A : B = \(\frac{1}{2}\) : \(\frac{5}{8}\) = 4 : 5 B : C = \(\frac{1}{3}\) : \(\frac{4}{5}\) = 5 : 12 C : D = \(\frac{3}{4}\) : \(\frac{5}{16}\) = 12 : 5 Overall, A : B : C : D = 4 : 5 : 12 : 5