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Elements that have to be defined by personal judgement. Such as the set ofgreat songs is not well-defined. But the set of the English alphabet is well-defined.
No. "Best" is not well defined since there are many criteria for defining best.
The description of a well defined set clealy states what is in the set. For example, "deciduous trees" is a set that only includes trees that are deciduous. No conifers or non-deciduous trees are in the set. "Tall trees" is not well defined because the members of the set depends on what "tall" means to different people. Well-defined sets can be illustrated by using pictures of what would be inside and outside a circle to show which would and would not be in the set.
A collected of well defined objects is called a set.
Zero is pretty well defined. Division by zero is undefined.