On Tuesday Spaniard Mikel Landa of Team Sky abandoned because of illness.
Dumoulin won the Giro's opening stage on home soil in Apeldoorn and held the leader's jersey for three stages until losing it on Saturday.
He lost more than 10 minutes on Tuesday's stage and climbed off his bike after struggling again during stage 11.
(Reporting by Martyn Herman, editing by Mitch Phillips)
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