CAT Quant Practice Problems

Question: If \(\frac{a}{b} = \frac{1}{3},\frac{b}{c} = 2,\frac{c}{d} = \frac{1}{2},\frac{d}{e} = 3{\rm{ \;and }}\frac{e}{f} = \frac{1}{4},\) then what is the value of \(\frac{{abc}}{{def}}?\)

\(\frac{3}{8}\)
\(\frac{{27}}{8}\)
\(\frac{3}{4}\)
\(\frac{{27}}{4}\)
\(\frac{1}{4}\)
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