Round 4 Second Half

Transylvania University Academic Tournament

Feb. 12, 2000

1.

Otto of Batavia became king of what country in 1832?
Answer: Greece

2.

How many pillars make up the religion of Islam?
Answer: five

3.

Find the arithmetic mean of the following set of grades: 78, 82, 85, 77, 89, 75.
Answer: 81

4.

Find the slope of the line containing the point (2,5) perpendicular to the line with equation 3x - 4y = 27.
Answer: -4/3

5.

What Italian scientist was condemned by the Inquisition in 1633 for, among other things, maintaining in his 1632 book Dialogo sopra i due massimi sistemi del mondo that the earth moves around the sun?
Answer: Galileo Galilei

6.

What orange-yellow seasoning comes from a type of crocus?
Answer: Saffron

7.

The killer is tormented by the imagined sound of his victim's heartbeat in this Edgar Allen Poe story.
Answer: ``The Tell-Tale Heart''

8.

The Wilford Owen poem ``Dulce Et Decorum Est'' was written to memorialize which war?
Answer: World War I

9.

This theorem was first conjectured by Francis Guthrie in 1852. First proven by Appel and Haken in 1976, this theorem now has a proof which does not require a computer. Name this theorem.
Answer: The Four Color Theorem

10.

About when in years before present did Pangea exist?
Answer: Count anything between 300 million and 180 million years ago as correct.

11.

What does the atomic number of an element represent?
Answer: The number of protons in the nucleus OR the number of electrons in the neutral atom

12.

The song Brother, Can You Spare a Dime is associated with what decade of American history?
Answer: the 1930s

13.

What animal is mutton?
Answer: Sheep (lamb is NOT acceptable)

14.

Who was the first husband of Mary Queen of Scots?
Answer: Francis II (of France)

15.

In what year was the Magna Carta, a document limiting the power of the crown and granting specific rights to certain citizens, produced?
Answer: 1215

16.

How many books are in the Hebrew Bible, as counted by the Hebrews?
Answer: 24 (39 is the Christian count and is NOT acceptable)

17.

Who was the Russian Tsar who founded St. Petersburg?
Answer: Peter I or Peter the Great

18.

If $f(x)=\cos (3x)$ (read: f of x equals cosine of three x), find the derivative of f(x) (read: f of x)?
Answer: $-3 \sin (3x)$ (negative three (times) sine of three x)

19.

Two numbers are relatively prime. What is their least common multiple?
Answer: their product

20.

What was the name of the movement that dominated Europe's artistic and cultural life in the first half of the 19th Century?
Answer: Romanticism

21.

Herbert Spencer actually coined this term, although people associate it more with Charles Darwin.
Answer: evolution

22.

Six coins are tossed. Given that at least four of the coins are heads, what is the probability that exactly four of the coins are heads?
Answer: 15/22 (fifteen twenty-seconds)

23.

What does a star twinkle like in ``Twinkle Twinkle Little Star''?
Answer: Like a diamond in the sky

24.

According to Douglas Adams, what's the answer to Life, the universe and everything?
Answer: 42

25.

When was the Congress of Vienna?
Answer: 1814-1815

26.

In which biome is permafrost found?
Answer: tundra

27.

In 1931 he proved that in any axiomatic mathematical system strong enough to do arithmatic there are propositions that cannot be proved or disproved within the axioms of the system, thereby ending over one hundred years of attempts to place mathematics on an axiomatic basis. Who is he?
Answer: Kurt Godel

28.

Short computer animated films such as Luxo, Jr and Tin Toy were how this company practiced before tackling projects like A Bug's Life and Toy Story.
Answer: Pixar

29.

Who was D. H. Lawrence's father-in-law?
Answer: Baron Richthofen or the Red Baron

30.

What author might have placed the following want ad: Girl with silver slippers needed to escort straw man, metal man, and lion to city of green. Must be able to avoid entanglements with local witch.
Answer: Frank L. Baum

31.

August Comte, the nineteenth century scholar, is often heralded as the founder of what academic discipline?
Answer: Sociology

32.

Who was the first human being to enter space?
Answer: Yuri Gregarin

33.

What is the solid figure formed when the top of a cone or pyramid is cut off by a plane parallel to the base?
Answer: Frustum

34.

Inspector Javier hunts which notorious criminal for most of his life?
Answer: Jean Valjean

35.

Why do newspapers always smudge?
Answer: Newspapers use an oil base ink which never dries completely (the answer must include the fact that it is an oil based ink.)

36.

This question requires multiple answers. What is the largest U.S. river east of the Mississippi, and into what body of water does it empty?
Answer: the Susquehanna and the Chesepeake Bay

37.

Twelve horses are in a race. In how many ways can a list of horses finishing first, second, and third occur?
Answer: 1320

38.

Shakespeare said all what is a stage?
Answer: the world

39.

Which phylum of animals is characterized by a notochord?
Answer: chordates

40.

Which country was the first to industrialize?
Answer: Great Britain