Step-by-step Solution:

Solution

We must determine if the conclusions can be logically derived from the given statements.

Logical Deduction:

From the statements, we can form a logical chain:
Tagore was a poet → Therefore, he had aesthetic knowledge → Aesthetic knowledge is a part of axiological study.
So, we can only conclude that Tagore had knowledge of a subject that is a part of axiological study.

Analysis of Conclusions:

• I. Rabindranath Tagore did different axiological studies: This is an overstatement. Having knowledge of one part (aesthetics) does not mean he "did studies" in "different" areas of axiology. This does not follow.
  
• II. He followed the base of logic and ethics: The statements provide no information whatsoever about "logic" or "ethics." This conclusion introduces external information and does not follow.
  

Conclusion:

Since neither conclusion can be proven from the given statements, the correct answer is that neither I nor II follows.