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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. Which of the following could NOT be included as a step in Euclid's great theorem?**
**(a)** Take a finite group of primes and add them together, plus one. **(b)** Divide a infinite group of primes by the sum of their composites. **(c)** After summation, the new number can be prime or composite. **(d)** If a new number is found to be composite, then it must have some prime as a divisor.

**2. Who was Neil's Abel?**
**(a)** He proved that quintic equations cannot be solved using algebra. **(b)** He demonstrated the modern version of the Pythagorean Theorem. **(c)** He demonstrated that Cardano's solution to the cubic was incorrect, **(d)** He proved that to solve a quartic equation, one must use more than algebra.

**3. Why did Cardano take an oath to secrecy?**
**(a)** It was the only way to get Tartaglia's solution to cubic equations. **(b)** It was the only way to get his book published. **(c)** It was to the only way to win the contest with Fior, **(d)** It was the only way he could become a priest,

**4. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?**
**(a)** Fontana's method. **(b)** del Ferro's method. **(c)** Cardano's method. **(d)** Pacioli's method.

**5. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?**
**(a)** Even number. **(b)** Composite number. **(c)** Nominal number. **(d)** Perfect number.

## Short Answer Questions

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

**2.** Which shapes as described by Euclid, inspired the Greek philosopher Plato?

**3.** Where was Neil's Abel from?

**4.** What was the title of Cardano's book which contained the solution to the cubic?

**5.** What sum did Euler find for the series?

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