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No. Only some parallelograms are rectangles. But all rectangles are parallelograms.
All rectangles are parallelograms, so yes there are some.
Some parallelograms are rectangles; all rectangles are parallelograms.
Yes. All rectangles are also parallelograms, but not all parallelograms are rectangles.
No. All rectangles are parallelograms, specifically those with two pair of parallel sides and all right angles.