Hi there Arjun V Adiga! Hope you're having a great day.
Mop up round can only be guessed if there are vacant seats in colleges. However for Dayanand Sagar College of Engineering, most of the seats are filled within the second phase of counselling. Their is also a provision for state quota from which there might be chances of you getting a seat.
Karnataka Examinations Authority (KEA) has released the second KCET counselling extended round on the official website. Candidates who meet the eligibility criteria can start the option entry process from July 31 (1 pm). In this process candidates can add fresh options/modify the options/delete options till August 2.
Hope this helps. Thankyou.
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