a) 9 : 20
b) 3 : 5
c) 5 : 3
d) 20 : 9
Answer: d
Explanation:
$$\eqalign{
& = \frac{{\text{A}}}{{\text{B}}} = \frac{2}{1},\,\,\frac{{\text{B}}}{{\text{C}}} = \frac{4}{3},\,\,\frac{{\text{C}}}{{\text{D}}} = \frac{5}{6} \cr
& \Rightarrow \frac{{\text{A}}}{{\text{D}}} = \left( {\frac{{\text{A}}}{{\text{B}}} \times \frac{{\text{B}}}{{\text{C}}} \times \frac{{\text{C}}}{{\text{D}}}} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {\frac{2}{1} \times \frac{4}{3} \times \frac{5}{6}} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{20}}{9} \cr
& {\text{A}}:{\text{D}} = {\text{20}}:{\text{9}} \cr} $$
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