PrepTest 34, Section 1, Question 12

Difficulty:

A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures:

Each speaker lectures on a philosopher in whom he or she specializes.

No two speakers lecture on the same philosopher.

The first week's speaker specializes in Kant, Locke, and Mill, and no other philosophers.

The second week's speaker specializes in Kant, Locke, Mill, and Nietzsche, and no other philosophers.

The third week's and fourth week's speakers each specialize in Mill and Nietzsche, and no other philosophers.

The fifth week's speaker specializes in Nietzsche, Ockham, and Plato, and no other philosophers.

Question

Suppose the third speaker were a specialist not only in Mill and Nietzsche, but also in Sartre. If all of the other conditions remained the same, then each of the following could be true EXCEPT:

Mill is lectured on in the first lecture and Nietzsche in the fourth.

Mill is lectured on in the second lecture and Nietzsche in the third.

Mill is lectured on in the second lecture and Nietzsche in the fourth.

Mill is lectured on in the fourth lecture and Nietzsche in the fifth.

Nietzsche is lectured on in the second lecture and Mill in the fourth.

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