
answer is A.
I don't understand why. For any two processes that lead to the same point on such a graph, both their final energies are the same regardless of how they get there, right? It's a state function. So one process can have a lot of work done with one path or very little work done in another leading. Both can lead to the same endpoint.
Since internal energy is the same for any endpoints, we can have
U = Q + (a lot of work done) = a small Q
(such as with path 1)
or
U = Q + (a little bit of work done) = a bigger Q
(such as with path 3)
With this, I say that it depends on the path if work is > or < heat. Why am I wrong?