This question concerns the use of ser versus estar. They are both forms of to be, but the former refers to lasting traits while the latter refers to transient ones. Let's translate the parts of the sentences that we have and work from there.
Él ____ bien. No _____ enfermo.
He [blank] good. He [blank] not sick.
We can guess that the sentence is saying the subject is good, that he is not sick. Is not being sick a permanent trait of people? It is not. Hence, the correct verb to use is estar.
Let's look at the options.
a) es, es - both forms of ser, neither correct
b) está, es - one form of ser, not correct
c) es, está - same as option (b)
d) está, está - both forms of estar; the correct option
Answer:
d) está, está
Él está bien. No está enfermo