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# Journey Through Genius: The Great Theorems of Mathematics Quiz | One Week Quiz A

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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. Who was Euler's teacher?
(a) Johann Bernoulli.
(b) Gottfried Leibniz.
(c) Jakob Bernoulli.
(d) Isaac Newton.

2. Which of the following was NOT defined by Euclid?
(a) Nominal numbers.
(b) Even numbers.
(c) Odd numbers.
(d) Whole numbers.

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 an finite number of prime numbers.
(d) There exists only infinite and whole numbers.

4. Which of the following was an important proposition given by Euclid's number theory?
(a) Numbers from one to ten are only divisible by composite numbers.
(b) Any even number is divisible by 3.
(c) Any composite number is divisible by some prime number.
(d) Any perfect number is divisible by some composite number.

5. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Manifolds.
(b) Spheres and cones.
(c) Regular polyhedrons.
(d) Triangles.

## Short Answer Questions

1. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

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

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

4. What was Euclid's definition of a prime number?

5. What is true about prime numbers?

(see the answer key)

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