Grammatically, I would say that both are correct, depending on the situation.
My teacher said that 51-99% of it was correct, with only one exception.
My teacher said that most of it was correct, with only one exception.
versus
My teacher said that 100% of it was correct, with only one exception.
My teacher said that all of it was correct, with only one exception.
As you can see, "most" is less than all, but more than half (which is how it gets to be most) whereas "all" is obviously the sum total.
Conceptually, however, you're right: The second one is weird.
How could it all be correct and yet have something wrong?
But if we consider it from this perspective:
My teacher said that all of it, not including the exception, was correct.
My teacher said that all of it was correct, with only one exception.
Then, yes, we could have it "all" be correct because we had not included the exception within that "all."
What do you think? Does this help?
If you take a look at the example sentence in definition one for the word "exception", it may help make things more clear as well.
Firstly, my initial answer would have been the same as yours, "I am too tired to go out".
However, while
"I am too tired going out"
does sound a little strange, it is possible. It implies that the speaker is already out, but would rather not be out.
Compare with
"I am too tired to go out"
which implies that going out is a future action. This usage indicates that the speaker is not going to go, or is very reluctant.
Best Answer
means that he is so weary that he cannot explain—perhaps he cannot concentrate think clearly.
tired explaining is not a fixed construction, but tired of explaining is:
means that he he has explained so often that he has become annoyed—he refuses to explain any more.