Suppose identical twins raised apart have a correlation of .40 on a measure of some aspect of personality, and identical twins raised together have a correlation of .60 on this same measure. from these data, what can we logically conclude about this trait?

In the given case, it can be concluded that even nonshared surrounding has an influence, as even while raising together, they are not demonstrating a perfect 1.00 correlation.  

When genetic similarity is monitored, siblings usually appears to be no more similar than the individuals chosen at random from the population. It has been globally accepted that the source of this dissimilarity is a variance constituent known as the nonshared environment.  

The shared environmental signifies towards anything that two twins exhibit in common, generally the siblings, parents, neighborhood, and household. While the non-shared environmental is the everything left.