Question : If $P:Q=1: 3, Q:R=3:4,$ and $R: S=2:1$, then what is the value of $P:S$?
Option 1: $3:1$
Option 2: $2:1$
Option 3: $1:2$
Option 4: $3:2$
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Correct Answer: $1:2$
Solution :
$P: Q = 1 : 3, Q: R = 3: 4, R: S = 2 : 1$
So, $P:Q: R=1:3:4$
Now, $R:S=2:1⇒R:S=4:2$
So, $P:Q:R: S=1:3:4:2$
$\therefore P : S = 1 : 2$
Hence, the correct answer is $1 : 2$.
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