iTest 2008
by djmathman, May 27, 2013, 12:02 AM
As an RManager, I'll be posting the problems to the 2008 iTest soon. Since there are 
problems on the test, and I don't want to clog up any of the Mathematics fora with a glut of problems, I'll be posting them in groups of twenty problems a piece, give or take.
iTest problems tend to be really weird in that they are incredibly long for (almost) no reason. For example, here's a problem from the early stages of the test (#5 to be specific):
EDIT: The first 20 problems have been posted, although there is a diagram I still need to finish for Question 2.
problems on the test, and I don't want to clog up any of the Mathematics fora with a glut of problems, I'll be posting them in groups of twenty problems a piece, give or take.iTest problems tend to be really weird in that they are incredibly long for (almost) no reason. For example, here's a problem from the early stages of the test (#5 to be specific):
iTest 2008 #5 wrote:
Jerry recently returned from a trip to South America where he helped two old factories reduce pollution output by installing more modern scrubber equipment. Factory A previously filtered 
of pollutants and Factory B previously filled 
of pollutants. After installing the new scrubber system, both factories now filter 
of pollutants.
Jerry explains the level of pollution reduction to Michael, "Factory A is the much larger factory. It's four times as large as Factory B. Without any filters at all, it would pollute four times as much as Factory B. Even with the better pollution filtration system, Factory A was polluting nearly three times as much as Factory B."
Assuming the factories are the same in every way except size and previous percentage of pollution filtered, find
where 
is the ratio in lowest terms of volume of pollutants unfiltered from both factories 
installation of the new scrubber system to the volume of pollutants unfiltered from both factories 
installation of the new scrubber system.
of pollutants and Factory B previously filled 
of pollutants. After installing the new scrubber system, both factories now filter 
of pollutants.Jerry explains the level of pollution reduction to Michael, "Factory A is the much larger factory. It's four times as large as Factory B. Without any filters at all, it would pollute four times as much as Factory B. Even with the better pollution filtration system, Factory A was polluting nearly three times as much as Factory B."
Assuming the factories are the same in every way except size and previous percentage of pollution filtered, find
where 
is the ratio in lowest terms of volume of pollutants unfiltered from both factories 
installation of the new scrubber system to the volume of pollutants unfiltered from both factories 
installation of the new scrubber system.EDIT: The first 20 problems have been posted, although there is a diagram I still need to finish for Question 2.
This post has been edited 5 times. Last edited by djmathman, Sep 5, 2013, 1:32 AM
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