What must be true about two objects for conduction to take place?

the objects must be different temperatures and they must be in contact.
the objects must be the same temperature and they must be in contact.
the objects must be different temperatures and they must be insulators.
the objects must be the same temperature and they must be insulators.

The answer is: The objects must be different temperatures and they must be in contact.

Thermal conductuction is the transfer of heat through physical contact. Thermal conduction is the transfer of heat by microscopic collisions of particles.

Heat spontaneously flows from a hotter to a colder body.

The process of heat conduction depends on four basic factors: the temperature gradient, the cross section of the materials involved, their path length and the properties of those materials.

A is the answer