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This quiz consists of 5 multiple choice and 5 short answer questions through The Bernoullis and the Harmonic Series.

## Multiple Choice Questions

**1. How many definitions were stated in Elements?**
**(a)** Five. **(b)** Twenty-three. **(c)** Eighteen. **(d)** Thirty.

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

**3. Which of the following was one of Euclid's great theorems?**
**(a)** Prime numbers are more comples than discrete numbers. **(b)** There exists an infinite number of prime numbers. **(c)** There exists only infinite and whole numbers. **(d)** There exists an finite number of prime numbers.

**4. What did British scholars accuse Leibniz of?**
**(a)** Stealing Newton's Binomial theorem. **(b)** Conspiring the death of Newton. **(c)** Publishing Newton's work without his approval. **(d)** Plagiarizing Newton's calculus method.

**5. Which of the following is an example of a perfect number?**
**(a)** 6. **(b)** 10. **(c)** 20. **(d)** 1.

## Short Answer Questions

**1.** In what time period did mathematicians find a solution to cubic equations?

**2.** Which of the following was NOT one of the basic definitions in Elements?

**3.** What was described as true about the series 1 + 1/2 + 1/6 + 1/10 + 1/15 + 1/21?

**4.** In Elements, how many postulates must be accepted as given?

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

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