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

William Dunham (mathematician)
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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 were an example of twin primes?
(a) 19 and 22.
(b) 15 and 16.
(c) 2 and 6.
(d) 11 and 13.

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

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

4. Who was Neil's Abel?
(a) He demonstrated the modern version of the Pythagorean Theorem.
(b) He proved that quintic equations cannot be solved using algebra.
(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.

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

Short Answer Questions

1. When was Euler born?

2. What sum did Euler find for the series?

3. In general, what did Euclid's number theory describe?

4. What hindered Euler's work as he grew older?

5. Why did Cardano take an oath to secrecy?

(see the answer key)

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