House Number

Logic Level 2

A maths professor asked one of his students to visit his house regarding some work. The student asked the professor his house number. The professor replied in a strange way:

  1. If my house number is a multiple of 3, then it is a number from 50 to 59.

  2. If my house number is not a multiple of 4, then it is a number from 60 to 69.

  3. If my house number is not a multiple of 6, then it is a number from 70 to 79.

    Can you determine the professor's house number?

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