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Correct Option is 14

From the given statements, B is one year younger than E and one year older than G which means B was born in 2004, E was born in 2003 and G was born in 2005. F is younger than C but older than D. A is older than C. H is younger than F ,means H was born in either 2015 or 2017, H was not born in 2015.So we have the final arrangement:

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