Current in both circuits cause a magnetic field on the loop, and they are in the same direction (into the page)
I. Correct
When switch X is closed there is an increase in the magnetic flux and according to Lenz's law, a current is induced in the loop in an anti-clockwise direction, so it opposes the increase in the flux.
II. Correct
When switch Y is opened, there will be a decrease in the magnetic flux, and according to Lenz' law, a current is induced on the loop in a clockwise direction, so it opposes the change in the flux.
III. Correct
When switch X is closed, and switch Y is opened, there will be a decrease and increase in the magnetic flux. Since everything is identical amount of increase and decrease will be equal, that is no change in magnetic flux. According to Faraday's law, no induced emf means no induced current.