Alonzo, Kurt, Rudolf and Willard are four creative artists of great talent. One

ID: 3499904 • Letter: A

Question

Alonzo, Kurt, Rudolf and Willard are four creative artists of great talent. One is a dancer,

one is a painter, one is a singer and one is a writer, though not necessarily in that order.

1. Alonzo and Rudolf were in the audience the night the singer made his debut on the

concert stage.

2. Both Kurt and the writer have had their portraits painted from life by the painter.

3. The writer, whose biography of Willard was a best-seller, is planning to write a

biography of Alonzo.

4. Alonzo has never heard of the writer.

What is each man’s artistic field?

Write all reasoning required to solve this problem:

Kurt is not the writer (#2).

Neither Willard nor Alonzo is the writer (#3). Therefore Rudolf is the writer.

Kurt is not the painter (#2). Rudolf is not the painter, since he is the writer.

Neither Alonzo nor Rudolf is the singer (#1).

Alonzo is not the painter, since he has met the writer (Rudolf); therefore Willard is the painter.

These facts constrain the remainder of the matrix thus: Alonzo is the dancer, and Kurt is the singer.

Therefore, the dancer is Alonzo, the painter is Willard, the singer is Kurt and the writer is Rudolf.

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