Exchanges are not going to necessarily to look at "taint" percentages (which are often wildly inaccurate). If the exchange has good reason to believe that you are depositing money from certain prohibited sources (as outlined in their agreement with you), they will reject the deposit and/or close your account.
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I don´t think that they will reject the deposit. At most exchanges cryptocurrency deposits are fully automated.
Therefore the funds will be credited to your exchange account even if they are tainted.
It is more likely that the account will get frozen after the deposit or they will at least ask you
to prove that you obtained the cryptocurrency from a legitimate source.