Oxymorons, by their nature, are thought-provoking, however, let's look at some that are more perplexing than others.
The same difference. How can something be the same and yet different? Answer: People are basically the same and yet individually very different.
Bittersweet. How can something be bitter and still sweet? Answer: Someone coming home after a long absence is bitter because the person had been away, but sweet because he or she is home once again.

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