Critical Reasoning

Evaluate the Plan Questions: Use the Skills You Already Have

Unlike many of the Critical Reasoning question types on the GMAT, Evaluate the Plan questions are unique to the exam; you are extremely unlikely to find them on the LSAT, which does feature most of the other question types.  Therefore, if you choose to use LSAT Critical Reasoning materials in your GMAT preparation, you’ll need to make an extra effort to seek out Evaluate the Plan questions from traditional GMAT prep sources.

The questions themselves aren’t all that different from most of what you’ll see on the test: there’s a plan (or argument, in some cases), and the question stem asks you to identify the information that would be most helpful in evaluating the plan.  This can take different forms; sometimes you’ll be asked to choose a study or research topic, for example, and other times you’ll be asked to identify the question that, when answered, would help you to evaluate the validity of the plan.  The key to answering Evaluate the Plan questions with a minimum of stress is to use the skills that you employ for Assumption, Strengthen, Weaken, and some Flaw questions: look for a gap in the reasoning.

For example, an assumption question might look like this:

Video game designers develop innovative new gaming technology in response to the demands of the market.  Only serious gamers are willing genuinely interested in innovative technology and willing to pay for it.  Therefore, the video game designers at XYZ Gaming Corp. will develop new gaming technology only if it can be used in violent car-chase video games.

Which of the following is an assumption…

The correct assumption for this question would be something like this:

Serious gamers are only interested in innovative technology that can be used in violent car-chase video games.

This assumption ties together the evidence, which discusses serious gamers, with the plan, which addresses violent car-chase video games.  But the same stimulus could be used for an Evaluate the Plan question, and the same identification of the gap in the reasoning could help us choose the correct answer.  Let’s look at the question again, from that perspective:

Video game designers develop innovative new gaming technology in response to the demands of the market.  Only serious gamers are willing genuinely interested in innovative technology and willing to pay for it.  Therefore, the video game designers at XYZ Gaming Corp. will develop new gaming technology only if it can be used in violent car-chase video games.

The answer to which of the following questions would be most useful in evaluating the validity of XYZ Gaming Corp.’s plan?

  1. a. Are violent car-chase video games popular with the “casual gamer” segment of the market?
  2. b. What percentage of serious gamers is willing to invest significant amounts of money in purchasing newly developed technology?
  3. c. Are serious gamers interested in innovative technology that can be used in games outside of the violent car-chase genre?
  4. d. On average, what percentage of the total annual video game market has been comprised of violent car-chase video games for each of the last five years?
  5. e. How would one distinguish between a serious gamer and a casual gamer?

We know from evaluating this as an assumption question that there’s a gap between serious gamers and violent car-chase video games; now we look for a question that, if answered, would allow us to determine whether or not the link between them exists.  We find that in choice C.  If the answer to C is ‘yes,’ then the assumption we identified earlier is invalid and the plan is not a solid one.  If the answer is ‘no,’ then the plan is valid.  Either way, though, the answer to the question in choice C is important in evaluating the plan.

The basic approach for Evaluate the Plan questions, then, is similar to what you’ve been doing for assumption questions; you just need to take an extra step beyond identifying the gap to finding the question or study that would help you to fill it.

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Inferences on the GMAT

You’re having lunch with your friend Jane, and you suggest getting hot fudge sundaes for dessert; Jane tells you that she doesn’t eat hot fudge sundaes.  In real life, you could draw several valid inferences from this: she’s lactose intolerant, she has sensitive teeth and so can’t eat frozen desserts, she’s on a diet and trying to avoid sweets, or maybe she just doesn’t like ice cream or hot fudge.  In real life, those would all be acceptable inferences, because the real-world definition of infer is to do any of the following:

1. to derive by reasoning; conclude or judge from premises or evidence: e.g., They inferred his anger from his heated denial.

2. (of facts, circumstances, statements, etc.) to indicate or involve as a conclusion; lead to.

3. to guess; speculate; surmise.

4. to hint; imply; suggest.

“Infer” is, as you can see, a word with fairly flexible meaning.  We most often use it in day-to-day life to mean “make an educated guess.”  If your friend Jane says she doesn’t eat hot fudge sundaes, you apply your existing knowledge about the possible reasons someone could have for not enjoying the hot fudge and ice cream deliciousness, and you make an educated guess as to what her reasons could be.  On the GMAT, however, “inference” has a different meaning.  Think of inferring as the process of deriving the strict logical consequences of assumed premises.

On the GMAT, therefore, if you are told that Jane doesn’t eat hot fudge sundaes, you can derive two logical consequences from that premise:

  1. If Jane is eating, has eaten, or will eat something, it isn’t a hot fudge sundae, and
  2. If someone is eating, has eaten, or will eat a hot fudge sundae, that person is not Jane.

The correct answer to an inference question on the GMAT will follow directly from the evidence provided; it is NOT merely an educated guess, but is instead the logical consequence of the assumed premises.

Notice that just based on six words—“Jane doesn’t eat hot fudge sundaes”—we can draw two possible inferences.  Now think of how many words you might see in the average GMAT question, and you’ll understand that inference questions, unlike other types of questions, don’t lend themselves well to prediction.  Trying to guess the correct inference being drawn from several sentences worth of statements is generally a waste of time.  Your best bet in approaching GMAT questions that ask for inferences is to use process of elimination, just as you would in sentence correction.  Eliminate answers that are just “educated guesses,” answers that aren’t necessarily true, answers that are too extreme, and of course, anything irrelevant.  Your answer will be the one choice that follows strictly from the statements in the question.

Let’s look at a sample GMAT-type question:

XYZ Corporation has two divisions, both of which performed consistently over the last five years.  The Interment Services Division accounted for approximately 30% of the corporation’s transactions and 50% of the corporation’s profits; the Toxic Household Products Division accounts for the balance.

The statements above support which of the following inferences about XYZ Corporation over the last five years?

  1. Measured in dollars, the total profits for XYZ Corporation have remained stable over the last five years.
  2. Interment Services is an increasingly competitive field, while Toxic Household Products are a largely untapped market.
  3. The Toxic Household Products Division yields a lower average profit per transaction than does the Interment Services Division.
  4. XYZ Corporation’s Toxic Household Products line has remained consistent over the past five years.
  5. Most families will, over a given five-year period, spend more money on Interment Services than on Toxic Household Products.

Only one of these answer choices MUST be true; let’s take a look at the options:

  1. We only know about percentages, or proportions, so we can’t draw inferences about dollar amounts.
  2. No information is provided about competition for either Interment Services or Toxic Household Products.
  3. This is the correct choice; Interment Services has a profit to transactions ratio of 50%:30%, or 5:3, while Toxic Household Products has a ratio of 50%:70%, or 5:7.  Therefore, the Toxic Household Products Division is doing more than twice as many transactions as the Interment Services Division, but yielding the same profits.
  4. Product lines are not discussed, and therefore can’t be the subject of an inference.
  5. Per-family spending is never mentioned, so we can’t infer anything about it.

There’s a pattern here: if it’s not mentioned, an inference can’t be drawn about it.  Inferences MUST be supported by the evidence provided; remembering this one concept will give you a solid start in conquering inference questions on the GMAT.

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Formal Logic Basics: And, Or, Neither, Nor…

We’ve covered, in an earlier articles, how to deal with the simplest formal logic statement: If X, then Y.  But what happens when our necessary or sufficient factors become more complicated?  Let’s look at a couple of examples, using the idea of a vegetable salad.  The simplest statement and its contrapositive might look like this:

If the salad has lettuce, then it has tomatoes.

If the salad has no tomatoes, then it has no lettuce.

Now let’s add more vegetables (and more complicated logic):

If the salad has lettuce or spinach, then it has tomatoes and peppers.

Here’s an important idea: when you are forming a contrapositive, you already know that the necessary and sufficient factors are switched around and negated.  But now you also have to remember that “and” becomes “or,” and vice versa.  So the statement above becomes:

If the salad has no tomatoes or no peppers, then it has no lettuce and no spinach.

I find it extremely helpful to individually negate each element of the statement; otherwise, it’s easy to get confused.  For instance, if I only negate the first part of the statement above and say to you, “If the salad has no tomatoes or peppers…” you might interpret that as meaning that neither of those vegetables should be in the salad.  But in formal logic terms, it would technically mean that I either want peppers or no tomatoes.  Neither of those ideas, though, is what I mean to say in the contrapositive; the intended meaning is that I want no tomatoes or no peppers.

The pairing of “neither” and “nor” can also cause some consternation.  The easiest way to deal with that is to remember that “neither X nor Y” is the same thing as “no X and no Y.”  The example above can be rephrased as follows:

If the salad has no tomatoes or no peppers, then it has neither lettuce nor spinach.

So if you need to negate a “neither/nor” statement, the “nor” becomes “or” just as it would if the statement said “and.”

What if the sentence isn’t written in the order in which we expect to find the elements?  For instance, how do we interpret a sentence that says:

The salad has cucumbers if it has onions.

Here we can take the word “if” and read the statement that follows it as the sufficient element.  We can turn that sentence into this:

If the salad has onions, then it has cucumbers.

A final issue is the phrase “only if.”  Let’s go back to our vegetable salad, and look at the following sentence:

The salad has carrots only if it has mushrooms.

Here, you can’t interpret “if” as signaling the sufficient element.  “Only if” statements are interpreted differently than regular “if” statements.  The “only if” statement above means the same thing as this:

If the salad has carrots, then it has mushrooms.

These ideas flesh out the basics of formal logic.  To recap, here are the thoughts that you need to remember:

  1. When forming a contrapositive, turn “and” into “or” and vice versa.
  2. “Neither X nor Y” means “No X and no Y.”
  3. “X only if Y” means “If X then Y.”

Just remember that, as with everything on the GMAT, formal logic becomes much easier with Grockit GMAT practice, so keep working on it!

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Conquering Your Weakeners On GMAT Critical Reasoning

The flipside of the “strengthen” question coin on the GMAT is the “weaken” question.  The same set of evidence and conclusion can easily be used for either question type, so it’s always a good idea to start by reading the question itself first, to determine the task before you go to the argument.  After that, your approach is almost identical to the way that you would approach a strengthen question.  Take this question, for example:

Healica, a new drug that can cure a common disease that until now has been fatal for 50% of those infected, is made from the root of the New Zealand banananut tree.  The banananut tree is rare in New Zealand, and large quantities of the root are necessary in order to make Healica.  Therefore, if Healica remains in production, the banananut tree will eventually become extinct.

If true, which of the following most calls into question the conclusion above?

a) The company that holds the patent to Healica has exclusive rights to produce the drug for another 10 years.

b) Healica is expensive, and is not currently covered by most major insurance plans.

c) Banananut leaves are considered a gourmet delicacy in many parts of the world.

d) The banananut tree, although native to New Zealand, can easily be grown in other parts of the world.

e) Producing Healica is time-consuming and expensive for the drug manufacturer.

You should always read the question first, and here the commonly-used phrase “calls into question” means that this question is asking for a weakener.

Looking at the argument, we can see from the clue word “therefore” that the conclusion is the last sentence of the argument: “if Healica remains in production, the banananut tree will eventually become extinct.”  Now our job is to find a way to attack the argument, and the easiest way to do that is to identify an existing weakness and exploit it.

Here, as in many arguments on the GMAT, the argument has an unstated assumption.  The evidence states that the banananut tree is “rare in New Zealand,” and concludes that extinction will occur because of that.  But for something to be extinct, it must not exist anywhere in the world, and we only have evidence about the tree’s growth in one country.  The unstated assumptions are that the tree doesn’t grow anywhere else, and that growth can’t keep up with the demand for the trees.  A great way to weaken the argument, then, is to attack one of those assumptions.

a) The company that holds the patent to Healica has exclusive rights to produce the drug for another 10 years.

This choice would require another assumption in order to weaken the conclusion: that the one company producing Healica would not produce enough of it to kill off the banananut tree.  Weakeners, like strengtheners, shouldn’t require so much work to fit into the argument.

b) Healica is expensive, and is not currently covered by most major insurance plans.

This choice, like choice a), is not closely enough related to the argument.

c) Banananut leaves are considered a gourmet delicacy in many parts of the world.

This choice makes it more likely that the trees will be in demand and will face extinction.  The argument is strengthened, not weakened, by this choice.

d) The banananut tree, although native to New Zealand, can easily be grown in other parts of the world.

This is the correct answer, since it exploits the unstated assumptions by explicitly disproving that one of them.

e) Producing Healica is time-consuming and expensive for the drug manufacturer.

This choice has the same problem as choices a) and b): it takes extra assumptions to fit it into the argument, and that’s not what we want.

If you find yourself taking several extra logical steps to explain how an answer choice relates back to the argument and makes the conclusion less likely to follow from the evidence, then the answer choice is probably not close enough to the text of the argument as written.  Remember: stay close to the internal logic of the argument, and don’t bring in specialized outside knowledge!  The test is written so that each question belongs in its own little world, and outside knowledge is rarely relevant to finding the correct answer.

A final word on weakeners: remember that the correct answer just has to make the conclusion less likely to follow from the evidence; it doesn’t need to completely disprove the conclusion, although sometimes it will.  So make sure that you’re not looking for unnecessarily extreme answers.

Check out Grockit for more GMAT verbal practice. Check out Andrea’s Strengthening your Strengthen Muscles too!

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Strengthening Your “Strengthen” Muscles In GMAT Critical Reasoning

muscle One common GMAT reasoning question is the kind that asks you to “strengthen” the argument.  The most common mistake that people make on these kinds of questions is failing to stay close enough to the text of the argument as written.  Let’s look at an example:

Company X has instituted an Employee Wellness Program that will provide employees with free access to smoking cessation programs, nutritional counseling, and personal training services at a local gym.  Similar programs at other companies have been shown to improve workplace attendance and performance, and reduce the employer’s costs for employee health insurance.  Thus, the Employee Wellness Program will be good for both the employees and the company.

If true, which of the following would best support the conclusion of the argument above?

a) Many employees take advantage of free nutritional counseling when it is offered by employers.

b) Smoking cessation programs are only effective for 20% of those smokers who use them.

c) Personal training services at a local gym will make it easier for employees to improve their cardiovascular health and reduce the incidence of serious illness.

d) Exercising without personal training services can often lead to injury due to incorrect use of weight-training equipment.

e) Company X will give employees taking part in the smoking cessation program one paid hour off each Friday afternoon to participate in a support group.

Your first step here is to read the question itself, and notice that it’s asking you to find the answer choice that supports, or strengthens, the conclusion.  Then, as you read the argument, notice the word thus, which is a great clue to guide you to the argument’s conclusion, which is that “the Employee Wellness Program will be good for both the employees and the company.”  The argument’s evidence provides several examples of how to program is good for the company—it will “improve workplace attendance and performance, and reduce the employer’s costs for employee health insurance.”  But the conclusion talks about benefits for employees as well as the company, and the argument doesn’t state explicitly how the program will benefit them.  Now, let’s look at the answer choices one at a time.

a) Many employees take advantage of free nutritional counseling when it is offered by employers.

The counseling’s popularity might indicate that it is beneficial to the employees, but it might not.  This choice doesn’t clearly demonstrate that the Employee Wellness Program benefits the employees, and is a good example of a wrong answer that makes the test-taker work too hard in order to justify choosing it.  Here, one would have to assume that employees take advantage of the program because it is beneficial to them.  A strengthener shouldn’t require a major assumption, and therefore this choice is not the best answer.  Wrong answers like this are common, so watch out for them.

b) Smoking cessation programs are only effective for 20% of those smokers who use them.

This choice makes it LESS likely that the programs will benefit either the employees or the company.  This answer choice may catch your eye if you didn’t read the question closely enough, and are mistakenly looking for a weakener instead of a strengthener.

c) Personal training services at a local gym will make it easier for employees to improve their cardiovascular health and reduce the incidence of serious illness.

This is the correct answer.  The argument seems to imply that the increased attendance and performance and reduced health insurance costs are due to improved employee health, which would naturally benefit the employees.  This choice makes that unstated implication clear, and fills the gap in the argument.

If words like unstated and gap remind you of assumption questions, that’s a good thing!  Often, the weakness in an argument is due to the gap left by an unstated assumption, and the best way to strengthen the argument is by explicitly stating the assumption.

d) Exercising without personal training services can often lead to injury due to incorrect use of weight-training equipment.

This answer might be tempting, but again, it requires too many assumptions to tie it into the argument as a strengthener.  In order for this to strengthen the argument, one must assume that employees would still exercise without the personal training services, and that they would incorrectly use the weight-training equipment. That’s too much work for the question, and so this answer choice must be rejected.

e) Company X will give employees taking part in the smoking cessation program one paid hour off each Friday afternoon to participate in a support group.

This might benefit the employees, but it would be a burden to Company X.

Therefore, it’s not the best choice. Lesson of the day: one key to success with strengthen questions on the GMAT is to remember that the correct answer shouldn’t take too much work to justify.

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Applying “Necessary” And “Sufficient” To Assumption questions

GMAT critical reasoning questions often ask you to identify the assumption of an argument.  The first step in doing that successfully is understanding what, exactly, they mean by “assumption.”  An assumption in GMAT-speak is the unstated link somewhere in the chain of evidence and conclusion.  Finding the assumption means, basically, finding that gap in the argument and filling it.

Assumptions can be roughly divided into “necessary” and “sufficient,” and your approach to tackling an assumption question depends in part on which kind of assumption you’re dealing with.  A necessary assumption MUST be true in order for the conclusion to follow logically based on the evidence presented.  Take, for example, the following simplified version of a GMAT question:

Jennie wears glasses.  Jennie also gets A’s in chemistry.  Therefore, Jennie must be smart.

Which of the following assumptions is necessary to support the conclusion above?

Here, you’re looking at finding the unstated idea that MUST BE TRUE in order for the argument to work logically.  Take a look at the possibilities:

a) Jennie gets good grades in all of her science classes.

b) All girls named Jennie are smart.

c) Jennie wouldn’t wear glasses if she wasn’t smart.

d) Some people who get A’s in chemistry are smart.

e) Everyone who gets an A in chemistry is smart.

Now, a few of these choices support the argument’s conclusion.  But only one of them is actually necessary to the argument.  Let’s looks at them one at a time.

a) Jennie gets good grades in all of her science classes.

This isn’t an assumption of this argument at all.  Jennie’s other science classes are outside the scope of the argument, since they are addressed in neither the evidence nor the conclusion.

b) All girls named Jennie are smart.

This choice would certainly support the conclusion; if this were true, then the conclusion would HAVE to be true.  But is this statement NECESSARY to the conclusion?  No.  Other girls named Jennie don’t have any necessary significance to this argument.  So this is not a good choice.

c) Jennie wouldn’t wear glasses if she wasn’t smart.

Again, this choice would be SUFFICIENT to make the argument’s conclusion follow from the evidence.  But is it necessary?  No.  So we’ll bypass this one.

d) Some people who get A’s in chemistry are smart.

This is the correct choice, because it MUST be true in order for the evidence to follow logically from the conclusion.  What if this wasn’t true, and no one who got an A in chemistry was smart?  If that were the case, then the conclusion would not be true, based on the evidence that Jennie gets A’s in chemistry.

e) Everyone who gets an A in chemistry is smart.

Once more, this choice is sufficient to support the conclusion, but it’s not necessary.  So it’s not the correct answer to the question that is being posed.

Now, hopefully you noticed that the correct answer here is the least extreme relevant statement.  That doesn’t always have to be the case, but for questions that ask for necessary assumptions, it’s a good general guideline.  Be wary of answer choices that are extreme; they will often be sufficient, but not necessary, and will therefore trick test-takers who aren’t careful in evaluating what exactly the question has asked them to find.

But what if the question paired with that argument looked more like this?

Which of the following assumptions, if true, best supports the conclusion above?

Well, in that case, the answer choices would look more like these:

a) Jennie gets good grades in all of her science classes.

b) All girls named Jennie are smart.

c) Jennie gets A’s in her physics class.

d) Some people who get A’s in chemistry are smart.

e) Some people who don’t wear glasses are smart.

Just as in the last example, choice a) is not relevant to the argument as an assumption.  But here, choice b) is the correct answer, because if that statement is true, then the conclusion is absolutely true.  Choices c) and e) are irrelevant in the same way that choice a) is, since physics and people who don’t wear glasses aren’t at issue here.  Now, choice d) is NECESSARY to the argument, but it is not the BEST support to the conclusion.  Even if it IS true that some people who get A’s in chemistry are smart, that doesn’t guarantee that Jennie is.

Moral of the story: keep a close eye on what the question is asking for, and read accordingly.

Have a question for Andrea or any of the Grockit tutors? Visit Grockit forums or post your thoughts here.

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Spotting Common Critical Reasoning Flaws

As we’ve seen, flaw questions on the GMAT follow predictable patterns: the flaw always in some way addresses either how the evidence is being interpreted to lead to the conclusion, or how the evidence was obtained.  Let’s take a look at a few specific examples of common GMAT flaws.

Real Numbers v. Percentages

At Company X, 15% of the male executives took advantage of the corporate “Family Leave” program last year, enjoying 6 weeks of paid sabbatical after a birth or adoption in their family.  Only 10% of female executives at Company X took advantage of the program.  Therefore, it appears that more male executives than female executives at Company X are interested in programs that promote leave options for personal reasons.

There are actually two major flaws here, and we’ll look at the one that ISN’T the title of this sub-section first, just to get it out of the way: the evidence isn’t sufficient to support the conclusion.  The conclusion is about the “interest” of executives in “programs that promote leave options for personal reasons,” but the evidence only discusses percentages of executives who were involved in one specific program.  Drawing a conclusion about programs in general based on that evidence is unsound.  Also, participation alone is not necessarily indicative of the interest in the programs; maybe people ARE interested, but just haven’t had new babies in their families.

The more standard flaw here, though, is the “real numbers versus percentages” issue.  Evidence is presented about percentages, and based on that evidence, a conclusion is drawn about quantity.  But the conclusion is flawed: what if there are 100 male executives at Company X, and 200 female executives?  In that case, there would be 15 male executives taking Family Leave, and 20 female executives; since 20 is clearly more than 15, the conclusion would not be properly drawn in that case.  We can see, then, that percentage evidence alone is not sufficient to support a conclusion regarding “real number” quantities.

Causation v. Correlation

Studies focusing on North Americans show that single men have an average lifespan of 72.1 years; married men have an average lifespan of 73.4 years.  However, married women live an average of 75.4 years, 2.1 years less than single women, who have an average lifespan of 77.5 years.  Researchers have concluded, based on the data from those studies, that husbands suck the life-force out of their wives, prolonging their own lives at the cost of their spouses’ longevity.

Okay, first of all, the premise behind that scenario is absolutely a joke; just trying to bring a little levity to the GMAT preparations here!  ;) But seriously, the issue here is that there is a correlation between two occurrences (the increased lifespans of married men and the decreased lifespans of married women) and the argument inappropriately assumes that there must be a causal link between those occurrences.  Whenever you see an argument that presents two events—let’s call them X and Y– that occur together, and that then concludes that one event, X, must be causing the other event, Y, you should look for the possibility that Y in fact causes X, or that some outside factor, Z, is causing both X and Y.

Necessary v. Sufficient

In order to successfully navigate the Great Lakes Trail, a 47-mile hiking trail fraught with unsteady terrain, one must have a pair of supportive hiking boots.  Drew recently purchased a pair of the most comfortable and supportive hiking boots on the market.  Therefore, Drew should have no trouble navigating the Great Lakes Trail when he goes on his hiking trip next month.

Now, I know we’ve seen a lot of necessary/sufficient issues in past discussions, but in flaw questions, the application is simpler.  The correctly-identified flaw here would be that the argument takes a condition that is necessary for achieving the goal of completing the hike, and has treated it as though it is sufficient.  Good boots are necessary; without them, Drew couldn’t make the hike.  But are they ENOUGH?  What if Drew has a horrible virus and can’t even get out of bed, let alone go for a 47-mile hike?  The boots are not, by themselves, SUFFICIENT to ensure success on the hike.  As a reader, be on the lookout for arguments that don’t differentiate between necessary and sufficient conditions.

These common flaw types consistently appear on the GMAT; keep practicing on Grockit to improve your ability to spot them and improve your performance on critical reasoning questions!

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Structuring Your Analysis of An Argument Essay

Your GMAT essays are unlikely to be the linchpin of your application.  Although I don’t like to say “never,” I personally have not heard of a student getting in to B-School because of his or her GMAT essays.  It certainly seems possible, though, that your essays could keep you out, if your entire application package is borderline and you write one or two truly awful essays.  For that reason, it’s important that you keep the AWA in perspective: it shouldn’t take up much of your prep time, but it’s certainly to your advantage to spend some time familiarizing yourself with what makes for a good essay, and getting some feedback from a qualified source, whether that is a professional mentor, a professor, or a test-prep specialist.

Of the two essays you’ll be expected to write, the Analysis of an Argument is likely to be the more challenging, if only because the task is not a familiar one to most business school candidates.  The easiest format to use in writing this essay is the classic 5-paragraph style, and a simple, effective format will look something like this:

  • Paragraph 1: Brief recap of argument and statement that the argument has merit but also contains multiple flaws.  Also include a “roadmap” of the points that you will make, in the order that you will make them.
  • Paragraph 2: Explanation of first flaw– this paragraph should have a strong topic sentence and then several sentences explaining the flaw in detail.
  • Paragraph 3: The second flaw gets the same treatment here as the first one did in the previous paragraph.
  • Paragraph 4: The third flaw is explained here in the manner established in the previous two paragraphs.
  • Paragraph 5: Briefly recap the flaws you’ve presented and diplomatically explain how those flaws could be remedied to present a stronger argument.

A good rule of thumb is that your reader should be able to get the gist of your entire argument just by skimming the first sentence of each paragraph.  Remember, your reader is probably going to devote no more than three to five minutes to your essay.  Take a few minutes at the beginning of your AWA to outline the five sentences that will begin your paragraphs; this strategy can make your reader’s job far easier, and a happy reader is probably more apt to make those tricky 4/5 line calls in your favor.  Similarly, the e-reader is programmed to assess organization, and well-written topic sentences that use transition words and clearly state the point of each paragraph are a big help in creating the kind of organizational structure that earns you points on test day.

To start your essay on the right note, make sure that your first paragraph does what it needs to do (recap the argument, state your position, and map out your three points) without any attempts at rhetorical bells and whistles.  At some point in high school or college, a composition instructor may have told you to use an “attention-getting” opening to really draw your audience in, but your GMAT AWA reader doesn’t need to be “drawn in;” she is getting paid to read your essay, and wants to do her job as efficiently as possible.  She’s likely to regard literary flourishes as a waste of your energy and her time.  Now, let’s look at a sample prompt and opening paragraph:

Prompt:

WPTK, the most popular television station in Metropolis, does not currently provide traffic updates to viewers.  Since Metropolis is located in a Midwestern state with serious winter weather road delays 4 months out of the year, WPTK would significantly reduce the incidence of auto accidents on Metropolis-area roads by providing traffic updates.

Response Paragraph 1:

The argument, which states that WPTK’s broadcast of traffic updates would reduce the incidence of auto accidents on Metropolis-area roads, has merit.  However, the argument also exhibits several serious flaws which could limit its persuasiveness.  The author weakens his claim by assuming that televised traffic updates would be timely enough to impact drivers’ actions, by failing to explicitly state how the updates would affect auto accidents, and by predicting a “significant” reduction in Metropolis auto accidents without specifying what kind of a reduction would be deemed “significant.”

As you can see, the opening paragraph responds to the prompt by taking a clear position, referring back to the issue briefly, and outlining the points that the essay will be addressing.  Let your concise, informative opening paragraph set the tone for your essay, and look for an upcoming article on common flaws in Analysis of an Argument prompts!

Please visit the Grockit forum or leave a comment here to post questions on essay structures.

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Nothing Is Perfect—Especially On The GMAT

Flaw questions are another often-seen challenge on the GMAT.  The central error in reasoning on GMAT flaw questions always comes down to the same thing: the evidence presented doesn’t logically lead to the conclusion.  You can’t argue with the evidence itself, so don’t be distracted by answer choices that directly contradict what’s stated in the argument.  However, you CAN argue with the way the evidence was obtained or interpreted, or with how it is connected to the conclusion.  Let’s look at a couple of examples:

Teenagers and young adults in their early 20s are 3 times more likely to participate in volunteer work than are men and women over 25.  Of those people who volunteer, teenagers are also twice as likely to donate more than 5 hours per week to volunteer work as are those over 25.  Thus, it must be true that teenagers are more aware of the ways that volunteer work benefits the community than are any other group of people.

Here, the problem is that the evidence as given doesn’t support the conclusion.  All of the evidence focuses on volunteer participation and the amount of volunteer work done.  But the conclusion is about recognizing the value of volunteer work.  That shift is a serious flaw; the key to recognizing that flaw is keeping an eye out for terms that appear in one part of the argument—evidence or conclusion—and nowhere else.

A recent study of teenagers in Alphaville showed that students on the Alphaville High School football team were considered by their peers to be more academically successful and of higher social status than were students in the marching band.  Therefore, Pete, a Betaville soccer player, should quit soccer and join the football team if he wants to be more popular and get better grades.

This argument has multiple flaws.  Let’s look at them individually:

  1. Evidence is given only about Alphaville teenagers, but the conclusion is about a single Betaville teenager.  The applicability of evidence about one geographical area to another area is questionable, as is evidence about one small group to one single case.  A larger, more geographically relevant sample size would help here.
  2. The evidence given compares football players to marching band members, but the conclusion is about a soccer player.  A conclusion about a soccer player would be better supported by evidence about a soccer player.
  3. The conclusion makes a recommendation for a course of action that would allegedly help Pete be more popular and get better grades.  But the evidence only describes peers’ perceptions of football players, which might be relevant to popularity, but do not provide a solid basis for a conclusion about their grades.  Peer perceptions are not a sufficient basis for a conclusion about a numerically measurable issue like grades.

An answer choice addressing any one of these flaws would be correct.  A strong test-taker will notice flaws as he or she reads, and will be looking for an answer choice addressing one or more of the predicted flaws.  Don’t go to the answer choices without at least one prediction in mind of a pre-identified flaw; tempting wrong answer choices can easily lead you astray and cost you time or points if you let them guide your evaluation, instead of taking control and navigating actively through the answer choices.

Brianna is thinking about getting a puppy.  She would like to adopt from the local Humane Society, but she recently read an article in which owners of purebred dogs purchased from dog breeders reported a low incidence of health or disciplinary problems with their pets.  Brianna should therefore purchase her new puppy from a dog breeder.

The reasoning in this argument is questionable because it makes a recommendation based on self-reported information from dog owners.  Self-reported data can easily be weakened by the suggestion that the people surveyed lied.  More objective data is better for supporting a conclusion.  Also, the evidence given doesn’t discuss Humane Society dogs, so there’s insufficient support for concluding that purebred dogs are preferable.

Overall, the key to identifying the flaw in a GMAT question is having an understanding of common flaw types.  The general rule is that the flaw will either lie in the reliability of the evidence itself or in the terms of the conclusion that is drawn based on the evidence.  These are the things to be looking for now, and in a later blog post, we’ll give more attention to a few specific common flaw types.

For more practice with flaw questions visit Grockit.

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Formal Logic: Sorting Out the Necessary and the Sufficient

Sometimes, a critical reasoning question on the Verbal section of the GMAT has an answer so clear that there’s no mistaking it.  For instance, the information given in the question has an obvious gap in it, and the test-taker quickly spots the appropriate answer and moves on.  Other times, though, the question seems bizarrely phrased, and all of the answer choices are either too extreme to be possible, or so similar to one another that choosing one comes down to a quick Eeny Meeny Miney Moe.  In those cases, the key to understanding and conquering the question is often formal logic.

Formal logic, or conditional statements, can be frustrating to the unwary test taker.  In its most basic form, a conditional statement looks like this:

If X, then Y.

See?  Not so scary, right?  But then you have to make a contrapositive of that conditional statement.  And the contrapositive of the statement above should look like this:

If not Y, then not X.

Okay.  So, you’re probably thinking that this isn’t so tricky.  And you’re right: at its simplest, formal logic is absolutely understandable.  When it gets less simple, it becomes a problem for many test takers, and I’ll talk more about that in a later blog posting.  But for now, let’s deal with X and Y—or, for clarity’s sake, a car and a key.  In order to understand how formal logic translates to our purposes on the GMAT, we need to see it at work in a real-life context.  So, here’s our car-and-key formal logic statement:

If the car starts, then the key must be in the ignition.

That makes sense, right?  The car is our X factor here—the “sufficient” factor—and the key is our Y—the “necessary” factor.  What makes one sufficient and the other necessary?  Well, the car here is sufficient because knowing that the car starts is enough information to tell us that the key must be in it.  Could the key be in it even if it didn’t start?  Sure.  If you’ve ever left your keys in the ignition and accidentally locked yourself out of the car, you’re very familiar with the fact that the car doesn’t have to be running for the key to be in the ignition.  But if the car does start, that is sufficient to tell us that the key is in the ignition.  And that’s why the car starting is the “sufficient” factor in the scenario: it’s not the ONLY thing that would indicate that the key is in the ignition, but it’s enough.  Now, let’s move on to our contrapositive:

If the key is not in the ignition, then the car doesn’t start.

So now we can see that the key is the “necessary” factor here.  If it’s not present, then the car won’t start.  Thus, we have both “necessary” and “sufficient” factors in the statement of formal logic.  But we have to be careful; if this information were part of a GMAT question, the test writers would probably try to trick us by including tempting wrong answer choices like this:

If the car doesn’t start, then the key is not in the ignition.

That looks like a contrapositive if you’re not paying close enough attention.  But we saw above that in order to form the contrapositive, the original necessary and sufficient factors had to switch places and be negated.  Here, there’s been negation, but no switch.  And looking at it logically, this statement doesn’t have to be true based on our original statement, “If the car starts, then the key must be in the ignition.”  If the car doesn’t start, yes, it could mean that the key isn’t in the ignition.  But maybe the key is in the ignition, and the car is just out of gas.  Or the battery is dead.  Or someone cut one of the little wire things under the hood like they do in movies. (Auto maintenance isn’t really my strongest area of knowledge, so I’m grasping at straws here.)  The point is, knowing that the car not starting is not sufficient to tell us whether or not the key is in the ignition.

So what can we take out of this?  Well, formal logic is tricky.  And we’ll be delving into it more later.  But for now, you as a test taker can start focusing on the necessary and the sufficient elements of statements, and using that knowledge to weed out wrong answer choices.

Visit Grockit for more formal logic practice!

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