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She wrote place and date of her birth.
Did she write place and date of her birth?
Who wrote place and date of her birth?
She wrote place and date of her birth, didn't she?

My cat likes to lie on the carpet.
Does my cat like to lie on the carpet?
My cat likes to lie on the carpet, doesn't he/it?
Does my cat like to lie on the carpet or on the grass?
Who likes to lie on the carpet?