Monday is the answer.
Nurse1 probable days of working- Monday wednesday friday and saturday
Nurse2 probable days of working - Monday Tuesday Wednesday thrusday friday and sunday
Nurse3 probable days of working- Monday tuesday wednesday friday sat.
from the condition Not more than two nurses gio for holiday more than once in a week hence we can see on Sunday nurse1 and nurse 3 are off.
The Probable days of nurses working together:Monday wednesday and friday.
if we consider friday then look at the nurse2. she end up working wed thu and friday.
so it cannot be friday.
if we consider wednesday nurse2 end up working mon tue and wed.
so it cannot be wednesday.
if we choose monday then look guys nurse1 and nurse3 did not work on sunday. so the continuity is broken. and the nurse2 does not work on saturday.
so there is no continuours three days. so monday is the answer.