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This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

## Multiple Choice Questions

**1. What hindered Euler's work as he grew older?**
**(a)** His hearing was getting worse. **(b)** He had a stroke. **(c)** He had very bad arthritis. **(d)** His increasing blindness.

**2. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?**
**(a)** 0. **(b)** 2. **(c)** Infinity. **(d)** Nobody has determined the sum.

**3. What was Euclid's definition of a prime number?**
**(a)** Numbers which are divisible by 2. **(b)** Numbers which do not, and can not, contain a perfect number. **(c)** Numbers which can only be divided by themselves and 1. **(d)** Numbers which contain an infinite number of composite numbers.

**4. Exactly what limit is reached at a quartic equation?**
**(a)** The limit of logical geometric proofs. **(b)** The limit of the Pythagorean Theorem. **(c)** The limit of algebra. **(d)** The limit of the decompressed cubic method.

**5. In general, what did Euclid's number theory describe?**
**(a)** The nature of measuring geometry. **(b)** The nature of whole numbers. **(c)** The relationship of fractions to decimals. **(d)** The relationship of decimals to integers.

## Short Answer Questions

**1.** Which of the following is an example of a perfect number?

**2.** Who wrote a treatise that supposed that cubic equations may be impossible to solve?

**3.** What did Plato use his inspiration from Euclid for?

**4.** Which of the following was true about Cardano, according to Dunham?

**5.** Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

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