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Questions & Answers about Чай или кофе?
Why is there no verb like "Do you want" in this sentence?
In spoken Russian, it is very common to drop verbs when the context makes the meaning obvious. If you are offering someone a drink, you can simply name the options with a questioning tone rather than saying a full sentence.
We are learning conjunctions like но (but). How does или fit into this?
Или means "or". Just like но (but), it is a conjunction that connects parts of a sentence. While но shows contrast between two ideas, или simply presents a choice between two options.
The word кофе ends in -е. Does that make it a neuter noun?
No, кофе is a famous exception! It is actually a masculine noun, even though it ends in -е. It is also a borrowed word, which means it never changes its ending, no matter how it is used in a sentence.