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If P : Q = 2 : 3 , Q : R = 4 : 5 and R : S = 6 : 7 , then P : S = ?
A. 18: 25
B. 17: 35
C. 16: 35
D. 8: 11
E. None of these
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Given,

$\frac{P}{Q}=\frac{2}{3}$

$\frac{Q}{R}=\frac{4}{5}$

$\frac{R}{S}=\frac{6}{7}$

 

$\frac{P}{Q}\times\frac{Q}{R}\times\frac{R}{S}=\frac{P}{S}$

$\frac{P}{S}=\frac{2}{3}\times\frac{4}{5}\times\frac{6}{7}$

$\frac{P}{S}=\frac{16}{35}$

 

Hence,Option$(C)16 : 35$.
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