A system X is neither in thermal equilibrium with Y nor with Z. The systems Y and Z__.
May be in thermal equilibrium
Thermal equilibrium means there is no temperature difference between the bodies and there will be no exchange of energy between them.
Let the temperatures of X, Y and Z be Tx, Ty and Tz, respectively.
Now,
Tx ≠ Ty and Tx ≠ Tz.
This does not tell us anything about Ty and Tz, except that they are not equal to Tx.
So, Ty = Tz, and Ty ≠ Tz, both are possibilities!
Hence, option (d) is correct.