hey,
yes you may apply in UCEED exam. however you are not eligible to apply in all institute for admission , Candidates from any other stream, that is science without physics, chemistry or maths, commerce, arts, humanities, are eligible to apply to only IIT Bombay, and IIITDM Jabalpur.
follow below link to know in details,
https://design.careers360.com/exams/uceed
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