A magnetic field is produced and directed along y-axis. A magnet is placed along x-axis. The direction of torque on the magnet is

As the magnetic is placed along x-axis, the dipole moment of the bar magnet is also along x-axis.

And the magnetic field is along the y-axis.

The torque acting will be given by $\overrightarrow{\mathrm{\tau }}=\overrightarrow{\mathrm{M}}\times \overrightarrow{\mathrm{B}}=\mathrm{M}\hat{\mathrm{i}}\times \mathrm{B}\hat{\mathrm{j}}=\mathrm{MB}\hat{\mathrm{k}}$.

So the torque acting will be along z-axis.