Just by the looks of it, this seems to be a question where the data is clearly insufficient. Because, clearly, there is no mention of Eric anywhere else, except the question statement.
In such a case, neither individual statements alone nor the combination will help us answer the question uniquely.
From statement I, assuming the heights of Adam, David and Carl as A, D and C respectively, we can say, A>D and A>C.
We have no data whatsoever about either Bob or Eric. Statement I alone is insufficient. Answer options A and D can be eliminated. Possible answer options are B, C or E.
From statement II, assuming the heights of Bob and Carl as B and C respectively, we can say, B < C. No information yet about Eric. Statement II alone is insufficient. Answer option B can be eliminated. Possible answer options at this stage are C or E.
Combining statements I and II, we have,
A > D, A > C and C > B. We still do not have any information about Eric. Therefore, the combination of the statements is also insufficient. Answer option C can be ruled out.
IMO, seems like the correct answer option is E, unless I have completely missed out some information.