What version of ladybug is compatible with Rhinoceros 6.31 and 6.11?

It would be possible to know the compatibility matrix for Rhinoceros 6 with its corresponding version of ladybug. For example, does the version of ladybug 1.1.0, 1.1.2 and 1.1.3 have compatibility with any version of Rhinoceros 6?

You should look at the LBT compatibility matrix.