It begins where the time ends.
Its second is an expression of surprise.
Its third is a question.
Its fourth is urinate.
It ends with a drink.

Which country it is?

Egypt

It begins where the time ends -- TIME ends with E
Its second is an expression of surprise - G(gee)
Its third is a question - Y(why)
Its fourth is urinate - P (Pee)
It ends with a drink- T (Tea)

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