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All answers having "Assumed" as clue:

5 Character Answers:

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GIVEN

PUTON

TACIT

TAKEN



6 Character Answers:

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AGIVEN

TOOKON



7 Character Answers:

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ACCEDED

ADOPTED

APRIORI

USURPED



8 Character Answers:

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SUPPOSED



10 Character Answers:

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HYPOTHETIC

POSTULATED

UNDERTAKEN