To determine which option is not a criterion adopted by Whittlesey in classifying world agricultural regions, we need to understand Whittlesey's criteria.

Whittlesey classified agricultural regions based on certain distinguishing features. The main criteria used include:

1. Crop and livestock combinations: This is related to what crops are grown and what livestock is reared in a particular region.
2. Intensity of land use: This refers to how intensively the land is used for agricultural purposes.
3. Processing and consumption methods: This includes how agricultural products are processed and consumed, focusing on subsistence or commercial intentions.
4. Use of primitive tools: Referring to tools used in agricultural practices often associated with traditional methods.

However, the types of agricultural buildings is not a standard criterion used by Whittlesey in this classification.

Given this explanation, option (E) 'Types of agricultural buildings' is not a criterion. Therefore, the options that include (E) as a non-criterion would be the correct answer.

Upon examining the provided options:

1. (A), (B) and (C) Only
2. (B), (C) and (D) Only
3. (A), (B) and (E) Only
4. (A), (B) and (D) Only

The correct answer is (A), (B), and (E) Only, as options A and B are part of Whittlesey's criteria, whereas E is not.