CAT Quant Practice Problems

Question: Twenty-seven persons attend a party. Which one of the following statements can never be true?

There is a person in the party who is acquainted with all the twenty-six others.
Each person in the party has a different number of acquaintances.
There is a person in the party who has an odd number of acquaintances.
In the party, there is no set of three mutual acquaintances.
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