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The day also saw 14,785 discharges, continuing to outnumber the fresh cases, taking the total number of recoveries in the state so far to 25,81,559.
Out of the 5,041 new cases, 985 were from Bengaluru Urban, as the city saw 2,818 discharges and 16 deaths, the health department said in a bulletin.
The total number of active cases in the state is 1,62,282.
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Out of 115 deaths reported on Tuesday, 26 were from Mysuru, Bengaluru Urban (16), Dharwad (8), Davangere (7), Hassan (6), Ballari, Dakshina Kannada, Shivamogga and Uttara Kannada (five each), followed by others.
Among the districts where the new cases were reported, Bengaluru Urban accounted for 985, Hassan 522, Mysuru 490, Dakshina Kannada 482, Tumakuru 329, followed by others.
Bengaluru Urban district tops the list of positive cases, with a total of 11,99,143, followed by Mysuru 1,58,956 and Tumakuru 1,12,570.
Among discharges too, Bengaluru Urban was on top with 11,00,612, followed by Mysuru 1,46,917 and Tumakuru 1,05,676.
Cumulatively a total of 3,19,23,601 samples have been tested in the state so far, out of which 1,32,600 were done on Tuesday alone.