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If a:b=5:9 and b:c=6:11; Then Find a:c

If a:b=5:9 and b:c=6:11; Then Find a:c
[A]11:34
[B]10:33
[C]12:33
[D]None of these

10:33
\because a:c=\frac{a}{c}=\frac{a}{b}\times \frac{b}{c}
=> \frac{5}{9}\times \frac{6}{11}=\frac{10}{33}
=> \frac{a}{c}=\frac{10}{31}
=> a:c=10:31
Hence option [B] is the right answer.

Originally written on June 3, 2016 and last modified on June 29, 2016.
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