Thread: Math Competition: IPT, bG and PtP for prizes

Rules

1. One question will be available at a time. Whoever answers that question correctly first gets an invite of their choice.
2. Please post a ratio proof if you would like an invite. Any will do.
3. If you don't feel like playing the game, you can get an invite from my thread, here.
4. If a question remains unanswered for a week, I will post the solution along with a new question.
5. The competition ends when I either run out of questions or invites.

Current Question



Out of town, I'll post one when I get back.

Previous Questions

Find x if x=(1/2)*(2/3)*(3/4)*...*(98/99)*99/100)
Answer: x=1/100

You have a 3-gallon jug and a 5-gallon jug. How do you get exactly 4 gallons in the 5-gallon jug, using only the 2 jugs you have and no other measuring tools?
Answer: See Post #9

Given the cubic equation x^3+4x^2-20x-48, find the x-intercept of the tangent lines at x= -4, -1 and 1 on the curve. Why did I pick -4, -1, and 1 for the tangents?
Answer: Interesting fact about cubics with 3 real roots is that if you take the average of 2 of the roots and draw a tangent at that point on the curve, it will always intersect the 3rd root (the one not used in the average). Anyone interested in a proof can PM me.

A bookshelf has three encyclopedia volumes: A-I, J-R, and S-Z. They are in the usual order, left to right on the shelf. The covers are 1/16" thick. Each book has pages numbered 1 to 1000. Each sheet of paper is 1/250 of an inch thick. If a bookworm chews its way from page 1 of the A-I volume through page 1000 of the S-Z volume, how far did it travel?
Answer: 2.25"

99% of a watermelon's weight is water. After being left out in the sun for a while, some of the water evaporates to the point where water constitutes 98% of its remaining weight. How much weight (in percent) has been lost?
Answer: 50%

Invites Available
5x passthepopcorn
3x IPTorrents
10x bitGamer

this made me crazy

Hehe, that is an easy one.
Answer: 1/100


IPT please?

Nice game. +rep.

As all the number will cancel except 1 in num and 100 in dem .
Therefore answer will be 1/100. (0.01)
It was a nice Qus.





hi.....may i get one invite of Ptp.

GF but I answered first :P lmao. He should get on and update the question.... lol.

Since it was the first question and I was slow on responding, I'll let both of you get an invite. Denomic and MasterMhk27, please PM me your e-mail addresses.

New question is up.

sorry for my bad english but in german it would be a lot easier ;)

Ok first fill the 5 gallone jug. Put that into the 3 gallone jag, leaving 2 gallons in the 5 gallon jug. After that refill the 5 gallon jug and put that on the remaining 2 gallons in the 3 gallon jug leaving the 5 gallone jug with exactly 4 gallons in it

bonus: the question is from "die hard 4.0"

and i would like to have the invite for ipt


ratio:
[img=http://img148.imageshack.us/img148/7277/ratiod.th.jpg]

Originally Posted by monkey4k

sorry for my bad english but in german it would be a lot easier ;)

Ok first fill the 5 gallone jug. Put that into the 3 gallone jag, leaving 2 gallons in the 5 gallon jug. After that refill the 5 gallon jug and put that on the remaining 2 gallons in the 3 gallon jug leaving the 5 gallone jug with exactly 4 gallons in it

bonus: the question is from "die hard 4.0"

and i would like to have the invite for ipt


ratio:
[img=http://img148.imageshack.us/img148/7277/ratiod.th.jpg]

Close on the bonus, it was the 3rd die hard, die hard with a vengeance. Answer looks good, although you forgot a step: dump the 3 gallon jug after filling it from the full 5 gallon jug and pour those 2 gallons into the 3 gallon jug.

Alternate solution for those who are interested:
1. Fill the 3 gallon jug and pour it into the 5 gallon jug.
In 3 Gallon Jug: 0 gallons
In 5 Gallon Jug: 3 gallons

2. Fill the 3 Gallon Jug again and pour into 5 gallon jug until full.
In 3 Gallon Jug: 1 gallon
In 5 Gallon Jug: 5 gallons

3. Dump out everything in the 5 gallon jug and pour everything from the 3 gallon jug into the 5 gallon jug.
In 3 Gallon Jug: 0 gallons
In 5 Gallon Jug: 1 gallon

4. Fill the 3 gallon jug and pour it into the 5 gallon jug.
Done!

Anyway, PM me your e-mail address please for the invite.

EDIT: New question is up.