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MathNet 2013 Question 29

Math Olympiad Vault · MathNet 2013

Question 29

Bat surveyed residents of his apartment building: 25 play chess, 30 have travelled abroad, and 28 have flown on an airplane. Of those who have flown, 18 play chess and 17 have travelled abroad. Of the 16 residents who both play chess and have travelled abroad, 15 have flown. If the building manager says there are 45 residents in total, is that statement true?