The correct answer is option 1, near Cuba. The Isle of Youth, also known as Isla de la Juventud in Spanish, is an island located in the Caribbean Sea. It is the second-largest island in the Cuban archipelago, after the main island of Cuba itself. The Isle of Youth is situated to the southwest of the main island and is separated by the Gulf of Batabanó.
Option 2, near the Bahamas, is incorrect. The Bahamas is a country made up of numerous islands, but the Isle of Youth is not among them.
Option 3, near Jamaica, is also incorrect. While Jamaica and the Isle of Youth are both in the Caribbean Sea, they are not located near each other. Jamaica is situated to the west of the Isle of Youth.
Option 4, near Saint Lucia, is incorrect. Saint Lucia is an island country located in the eastern Caribbean Sea. The Isle of Youth is not located near Saint Lucia.
Therefore, the correct answer is option 1, near Cuba, as the Isle of Youth is part of the Cuban archipelago and is situated southwest of the main island.