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MGMAT Ratio Problem

Expert replies
by paradox » Wed Aug 29, 2007 7:17 pm
As a follow up to this thread, I had the following question on my MGMAT CAT exam. I'd like some input from high scorers (Beny, this means you! :) ) on whether they can do this question in 2 min.

This is not a hard question, but it takes me over 3 min to translate the problem and work through the math with enough care so that I don't make careless mistakes or misunderstand part of the question etc. So if I see a question like this, should I just make the best educated guess and move on? It is especially difficult for me to do that for these types of questions because I know it's just a matter of getting through the calculations without making a careless mistake.

The question is pasted below. I would appreciate any input on this.

At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/5 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?

12 greater
17 fewer
28 fewer
36 fewer
44 fewer
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Source: — Problem Solving |

by beatthegmat » Wed Aug 29, 2007 8:23 pm
Moved to PS forum area. Please post subject matter questions to the appropriate forum area in the future, thanks!
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by agps » Thu Aug 30, 2007 12:46 am
510 total school count
16:1 students to teachers
510/17 = 30 teachers

so 30 teachers and 480 students

kindergarten students = 1/5*480 = 96 (1/5 total)
total students =kindergarten+5th+6th+1st+2nd+3rd+4th
5th+6th = (480-96)/3 = 128 (1/3 of the remaining after removing kindergarten students)
1st + 2nd = 480/4 = 120 (1/4 total)
so 3rd+4th = 480-120-128-96 = 136 (remainder)
3rd= 68 students (same number of students in 3rd and 4th grade)

so 3rd to kindergarten is 96-68 = 28 fewer
Answer C (in 1 minute and a half)

what is the OA?
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by beny » Thu Aug 30, 2007 6:30 am
It took me 2:30 to solve this.

I wouldn't suggest guessing on problems that you are certain that you know how to solve. On the GMAT, I guessed on problems that I knew I would have difficulty with, and, even if I could eventually work out a solution, there was a high probability that I made a mistake in the process (in other words, I thought I knew how to solve it, but also knew that it would take me a lot of time and wasn't comfortable enough with the problem to invest the time). Because guessing takes no time, I was able to spend slightly more time on problems that I was comfortable with. Usually the problems that you aren't comfortable with are more difficult anyway, and, unless you're plan on getting a 51Q, GMAT expects you to get these problems wrong.

I think what's most important is recognizing, upon first reading the question, how long it will take you to solve it and what's the chance that you'll get it correct.
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