BrainTeaser LogicalAndReasoning NSA Difficult

Problem - 4711

$\textbf{Class Substitute}$

Kurt, a math professor, needs a substitute for one of his classes today. He sends an email to his three closest co-workers: Julia, Michael, and Mary asking if anyone can help. However, Prof Kurt forgets to give the details of his class. Julia, the department chair, knows which class Kurt teaches, but does not know the time nor the building. Michael plays racquetball with Kurt often, so he knows what time Kurt teaches, but does not know other details. Mary happens to know which building Kurt's class is in, but neither the class itself nor the time.The possible candidates for Prof Kurt's class are list below.

- Calc $1$ at $9$ in North Hall
- Calc $2$ at noon in West Hall
- Calc $1$ at $3$ in West Hall
- Calc $1$ at $10$ in East Hall
- Calc $2$ at $10$ in North Hall
- Calc $1$ at $10$ in South Hall
- Calc $1$ at $10$ in North Hall
- Calc $2$ at $11$ in East Hall
- Calc $3$ at noon in West Hall
- Calc $2$ at noon in South Hall

After looking over the list, Julia says, "Does anyone know which class it is?" Michael and Mary Ellen immediately respond, "Well, you don't." Julia asks, "Do you?" Michael and Mary Ellen both shake their heads. Julia then smiles and says, "I now know." Which class does Kurt need a substitute for?

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