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Understanding the Problem
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In the first place, you must understand the nature of the problem For each problem on the GMAT, you could ask the question, What skill is the question writer testing here If you understand what is being asked, you re a long way toward developing an approach to solve the problem You may also be able to form an idea of what a correct answer might look like, and thereby eliminate one or two incorrect answer choices In the question about the barrels of oil, the skill needed apparently has to do with finding the volume of right circular cylinders So you re going to need some geometry, and you re also going to do some arithmetic comparing two volumes
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4# THE QUANTITATIVE SECTION
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To navigate your way through the problem, you might ask yourself a number of broad questions This may seem like a lot for the two-minute drill that you ll be running on every question, but some of these steps will pass in just seconds 1 What is the unknown Most immediately, you need to know what unknown quantity, condition, or relationship you re trying to find In this question, the critical unknown element is the volume of the second barrel If you get to the end of the problem and don t understand it, stop, pause, remain calm, and reread it If you don t understand the question after reading it the second time, proceed to Steps (2) and (3) You may learn something there that will help you successfully backtrack to Step 1 2 What are the data The question wouldn t be much of a question without data In this question, we have the volume in gallons of one barrel 100 gallons and the dimensions of the second barrel relative to the first The question writer could tell you that a figure has so many sides, that there are seven paintings to arrange on the wall, or that a particular quadratic expression holds under certain conditions Using the information effectively requires you to identify each individual fact that is provided to you, and to observe the important relationships between them This may require writing the data down in shorthand on a scrap of paper, then drawing lines, circles, or whatever you need to represent those relationships visually Getting these relationships right is particularly important in Data Sufficiency questions, as we ll discuss in the next chapter 3 What are the constraints Many problems feature constraints conditions under which an equation or relationship will hold, will not hold, or will be interesting to us in some way Separating these from the data is not always necessary one way or another, you ll be dealing with a number of facts in evidence, and trying to observe the connections among them This skill is important not just on the GMAT, but beyond Any manager dealing with change needs to understand how the situation that he is facing differs from the ones that others have faced, and how it is similar At schools like Virginia and Harvard, the curriculum is pretty much built around drilling this ability into every student through week-on-week application of the case method Constraints may close off options, but they also make problems manageable, particularly if you are trying to solve them quickly 4 Is it possible to satisfy the constraints In some cases, the conditions simply can t be fulfilled This is why test writers include answer choices like E None of the above or E Both statements TOGETHER are NOT sufficient among your options If one of the answer choices says this or something similar (eg, the problem cannot be solved with the information at hand, uncertain, insufficient information), then you should consider the overall picture of the question None of the above is not automatically the correct answer wherever it appears, but if you do see it, there is probably some condition within the question that would lead the question writer to include it as an option In the question about the barrels, answer A, there is no empty capacity, opens up the possibility that all of the other choices are heading in the wrong direction 5 Is the condition sufficient to determine the unknown This, again, is the essence of a Data Sufficiency problem (which we ll describe shortly), but it is important in Problem Solving questions as well If you cannot see your way through, and none of the above is not an answer choice, then you must have overlooked something Circle back quickly, but also watch the
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