A system X is neither in thermal equilibrium with Y nor with Z The system Y and Z
Given: There is a system X which is neither in thermal equilibrium with Y nor with Z.
Solution:
1. According to Zeroth law of thermodynamics, if two bodies are each in thermal equilibrium with a different third body then they are also in equilibrium with each other.
2. Here, in the question X is neither in thermal equilibrium with Y nor with Z. But from the given data we cannot predict any relation between system Y and Z. So, Y and Z may be at thermal equilibrium or may not be at thermal equilibrium with each other.
Hence, option C is correct.