New Year Giveaway

Day 1,883, 08:02 Published in Philippines Philippines by Vincenzo Roque
This is a part of my series of articles in my New Year Giveaway. To know more, read this.


Just to recap the thirteen questions for the new year giveaway:
FIRST QUESTION
What year is supposedly the end of the world according to the misinterpretations of the Mayans' calendar?

SECOND QUESTION
Let X be the answer in the first question. Let Y be the remainder when X is divided by 1000. A famous Christmas song has the number Y in the title. How many birds were mentioned in the song?

THIRD QUESTION
Let X be the answer to the second question. Let Y be 12 times X. What date in real life will Day Y of the New World fall? Write your answer in mm/dd/yyyy format.

FOURTH QUESTION
Let the answer in the third question be ab/cd/efgh and let X = (a+b+c+d+e+f+g)/3. In other words, let n be 1/3 of the sum of the digits of the answer in number two. What percentage of seats did KMP get in the Xth Philippine Congress?

FIFTH QUESTION
Let X be the answer to the fourth question. Let Y be 1 - X.
If 2012 grams of ethane is combusted with excess oxygen, with a percent yield of Y, what (with quantity) will be produced?

SIXTH QUESTION
Let the gases produced in the fifth question be put in a container with volume 2012 L. If the temperature is 12°C, solve for the pressure in the container.

SEVENTH QUESTION
A gvuvuoyu is a fictional animal with circulatory system similar to that of a human's except that it has an average pressure of X, where X is the answer to the sixth question. If a gvuvuoyu is being traveled in an aircraft accelerating upward, solve for the minimum acceleration for which the blood supply to its brain stops.
Assumptions:
The blood pressure is constant all through out the system
The air pressure inside the aircraft remains constant
The density of the blood is the same as that of water
The brain is located 2012 cm above the heart

EIGHTH QUESTION
How much electric field is needed to make a proton reach the acceleration that is the answer to the seventh question?

NINTH QUESTION
How many electrons are needed to produce the electric field that is the answer to the eighth question on a point 2012m away?

TENTH QUESTION
Let X be the answer to the ninth question. Let Y be the greatest integer less than the cube root of X. How many ordered positive integer solutions (a1, a2, a3, ... , a2011, a2012) satisfy a1 + a2 + a3 + ... + a2011 + a2012 = Y?

ELEVENTH QUESTION
Let X be the answer to the tenth question. Give the nominal location for the place with absolute location X degrees North, X degrees East. (Hint: three words with initials SAO)

TWELFTH QUESTION
How many combinations of the letters in the answer to the eleventh question are there?

THIRTEENTH QUESTION
Let X be the answer to the twelfth question and let Y be the sum of the digits of X. Let Z = 3Y^2 + 21Y + 18. How many pythagorean triples (a,b,c) have a sum a + b + c less than or equal to Z?


Just a reminder, the deadline for all the answers will be on 23:59 Jan 17 Day 1881 of the New World. You can send them to me through PM. I will be distributing the prizes after the deadline.

Good luck!

Still Wishing you a Merry Christmas and a Happy New Year,

Vincenzo Roque
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