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Consider the two different first order reactions given below $$A + B \rightarrow C$$ (Reaction 1) $$P \rightarrow Q$$ (Reaction 2). The ratio of the half life of Reaction 1 : Reaction 2 is $$5 : 2$$. If $$t_1$$ and $$t_2$$ represent the time taken to complete $$\frac{2}{3}^{rd}$$ and $$\frac{4}{5}^{th}$$ of Reaction 1 and Reaction 2, respectively, then the value of the ratio $$t_1 : t_2$$ is ___________ $$\times 10^{-1}$$ (nearest integer). [Given : $$\log_{10}(3) = 0.477$$ and $$\log_{10}(5) = 0.699$$]
Correct Answer: 17
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