Whew! This is hard to untangle.
First, I consider the word study can mean "examine" in some contexes. Then I consider the word study can mean "inspect" in some contexes.
Okay. You're therefore implying that
examine and
inspect have different meanings. Right? I wonder what you consider the difference to be.
Then I consider "examine" can mean "inspect" in some contexes.
Wait—I just thought you said they have different meanings.
So if "examine" mean "to inspect" in some contexts, and if "to study" mean one of them. Then how do we say this:
I'm quite sure that doesn't make sense. I can't understand what you're saying.
1. Does "to study" in the sentence mean examine and inspect?
That doesn't make sense. A word can't mean two things at the same time. (Except in rare cases where there is a double meaning.) Remember that the word and connects two thing inclusively.
2. Does "to study" in the sentence mean (either) examine or inspect?
This is correct as a logical statement, but doesn't make much sense unless you're implying which of the words examine or inspect is the closest meaning to the meaning of the word study, in which case the word either is misplaced. If so, that's really a not a good question to ask.
If you do not use the word either in this question, an answer could be: It means 'examine'.
If you do use the word either in this question, you have a yes/no question where the answer must be 'yes' or 'no'.
With the help of mathematics, considering Study=examine=inspect.
I have no idea what you're saying here.
It seems to me you're terribly confused about two
completely different matters here. The first thing is
the nature of the meaning of words. The second thing is the
logic of the conjunction words and and or.
Look:
Would you like fish and chips?
I'm asking if you want
two out of a possible two things. If you say yes, you'll get
two things.
Would you like fish or chips?
I'm asking which
one thing you want. You can have only
one out of two things.
This is very simple logic.