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All answers having "Cheese type" as clue:

4 Character Answers:

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BLEU

BRIE

EDAM

FETA



5 Character Answers:

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COLBY

GOUDA

SWISS



6 Character Answers:

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ROMANO



7 Character Answers:

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CHEDDAR



8 Character Answers:

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AMERICAN

AMERICIN

CHESHIRE

MUENSTER

PARMESAN



10 Character Answers:

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DANISHBLUE