A) 25 : 4
B) 125: 8
C) 4: 25
D) 8: 25
Correct Answer: C
Solution :
\[a:b=b:c=c:d=x\] (say) and \[a:b=8:125\] \[\therefore \] \[\frac{a}{d}=\frac{a}{b}\times \frac{b}{c}\times \frac{c}{d}={{x}^{3}}=\frac{8}{125}\] \[\Rightarrow \] \[x=\frac{2}{5}\] \[\therefore \] \[\frac{a}{c}=\frac{a}{b}\times \frac{b}{c}={{x}^{2}}=\frac{4}{25}\]
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