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Yes, a statement can be true or false but without knowing what the statement is no-one can possibly say whether it is true or it is false.
true
it is true that the majority of old people say that they are seldom bored.
False.False.
You make a statement that is either a true one or a false one. Simple as that. For example, you might say "The moon is made of green cheese" as a false statement and most people know that's wrong.