Among Andrew, Kate and Max, one of them is a doctor.
The other two are a teacher and a police officer.
Max is older than the police officer.
Andrew and the teacher are not the same age.
The teacher is younger than Kate.
Who is the doctor?
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Andrew cannot be the teacher, and Kate cannot be the teacher. So Max is the teacher, and, therefore, he is younger than Kate. Hence, Kate cannot be a police officer (since Max is older than the police officer). Therefore, Kate is the doctor.