This week, we’re going to talk about what to know for consecutive integer problems and how to recognize what to do on future problems of the same type.

This one is from GMATPrep. Set your timer for 2 minutes. and GO!

*  If n is a positive integer and r is the remainder when n² “ 1 is divided by 8, what is the value of r?

 

(1) n is odd.

(2) n is not divisible by 8.

The first thing you’ll probably notice: I didn’t include the answer choices. The five Data Sufficiency answer choices are always the same, so we should have those memorized. If you don’t have them memorized yet, add this to your to do list.

Just in case, here are the five choices (in casual language, not official language):

(A) statement 1 works but statement 2 does not work

(B) statement 2 works but statement 1 does not work

(C) the statements do NOT work alone, but they DO work together

(D) each statement works by itself

(E) nothing works, not even using them together

Okay, now that we’ve got that out of the way, let’s tackle this problem! This one’s a theory question; they’re asking us about the concept of consecutive integers (as opposed to asking us to do more straightforward calculations with consecutive integers) and they’re not even nice enough to tell us straight out that this is about consecutive integers! We have to figure that out or “ even better “ recognize it.

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What’s more valuable on the GMAT? Saving 30 seconds on a question that took you 2:30 to solve? Or 30 seconds on a question that took you 1:30 to solve? Trick question. Either way, you have the same amount of extra time to use on some other question. So with that in mind, take out a timer, pen, and paper, and let’s try out a fairly straightforward GMATPrep problem.

 

District	Number of Votes	Percent of Votes for Candidate P	Percent of Votes for Candidate Q
1	800	60	40
2	1,000	50	50
3	1,500	50	50
4	1,800	40	60
5	1,200	30	70

 

The table above shows the results of a recent school board election in which the candidate with the higher total number of votes from the five districts was declared the winner. Which district had the greatest number of votes for the winner?

 

(A)  1

(B)  2

(C)  3

(D)  4

(E)  5

Now before we work through the problem. Ask yourself a few questions about what you just did:

1. How confident are you in your answer?
2. How much time did you take to answer?
3. Looking back on your solution, was there shortcut you could have used to eliminate some of the work you did?
4. If so, what specifically about this problem allows you to use your shortcut?

At this point, hopefully you either did the shortcut for this problem or discovered what the shortcut might be. Let’s start with the long method. If I wanted to calculate the number of votes for each candidate, it would look like this:

Twelve calculations later (ten products and two sums), we have all of our numbers calculated and can answer two questions:

1. Who won the election? (Candidate Q)
2. Which district had the most votes for that candidate? (District 4- answer D)

Let’s go back for a second though. Are there any calculations from above that we could have skipped? Let’s start by analyzing the first question from above. Who won the election?

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Manhattan Prep is offering special full tuition scholarships for up to 16 individuals per year (4 per quarter) who will be selected as part of Manhattan GMAT’s Social Venture Scholars program. This program provides the selected scholars with free admission into one of Manhattan GMAT’s live online Complete Courses (a $1290 value).

These competitive scholarships are offered to individuals who (1) currently work full-time in an organization that promotes positive social change, (2) plan to use their MBA to work in a public, not-for-profit, or other venture with a social-change oriented mission, and (3) demonstrate clear financial need. The Social Venture Scholars will all enroll in a special online preparation course taught by two of Manhattan GMAT’s expert instructors within one year of winning the scholarship.

Details about the SVS program and how you can apply can be found here.

In my 9-session courses, all students are invited to try the first session for free. At the end of that trial session, one or more students invariably ask me, do I need to take this course to get a good score on the GMAT?

In a word, no. In fact, I scored a 760 on my first attempt, and I didn’t take a prep course. But then again, I devoted my lunch hour to studying for more than two months straight. Every. Single. Workday.

I’d like to think I’m a smart guy, but even so, there’s no way I could have scored a 760 without putting in significant study time. That is true for 99.99% of the GMAT-taking population, prep course or no. If you want to get the most out of my class, be prepared for an hour of homework every day for the duration of the course.

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We invite you to test your GMAT knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:

If x is a prime number, the function G(x) is defined as the xth root of the product of all distinct primes less than or equal to x. If x is one of the first five primes, the maximum value of G(x) occurs when x =

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Here are the free GMAT events we’re holding this week. All times are local unless otherwise specified.
1/24/13– Online- Choosing the Right B-School presented by mbaMission– 9:00- 10:30PM (EST)

1/24/13– Online- Thursdays with Ron- 7:00- 8:30PM (EST)

1/26/13– Online- GMAT Preview– 1:00- 2:30PM (EST)

1/27/13 – Online – Free Trial Class – 2:00- 5:00PM (EST)

1/21/13 – Ann Arbor, MI – Free Trial Class – 6:30-9:30 PM

1/27/13 – Atlanta, GA – Free Trial Class – 5:30-8:30 PM

1/27/13– Chicago, IL- Free Trial Class – 5:30- 8:30PM
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Here’s a roundup of some of this week’s top business school related articles:

Women in Business School: Why So Few? (Bloomberg Businessweek)

Bloomberg offers some explanations for why men outnumber women on business school campuses.

U.S. News Ranks Online MBA Programs (Poets & Quants)

U.S. News recently released online MBA program rankings for the first time ever. Check out what Poets & Quants had to say about the report.

Harvard Might Be the Best in Business, But Those Excelling in Entrepreneurship are Babson & MIT (BostInno)

Interested in pursuing an MBA in entrepreneurship? BostInno reviews Bloomberg Businessweek’s rankings of the top programs for entrepreneurship.
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Did you know that you can attend the first session of any of our online or in-person GMAT courses absolutely free? We’re not kidding! Check out our upcoming courses here.

Has this happened to you? You’re reviewing a practice test, and you look at a question you got wrong. “That was just a stupid mistake,” you say, “I should have gotten that one right. I’ll get it next time.” Read more

I’ve written a lot “ and you’ve read a lot “ about timing already, but I want to address something that I’ve been hearing lately from students particularly those who have been studying for a while and are really struggling to make progress on practice tests.

My best timing was on my very first practice test

I’ve spoken with a few students lately who’ve told me that they felt more comfortable with the timing before they started studying all of this stuff. How is that possible?

Actually, it’s fairly common. Here’s what happens: on your first practice test (before or shortly after you started studying), you know what you don’t know and so it’s much easier to let go of the too-hard questions. Once you start studying, you’ll see something and think, Oh, I studied that! I can get this one! But it turns out that one is still too hard only, this time, you won’t let go when you should. Do that a few times and the whole situation snowballs: you realize you’re behind on time, you start to panic and rush, that causes careless mistakes. Then you get stuck on another because you feel like you’re getting a bunch wrong so you don’t want to get this one wrong too now you’re wasting even more time, and then the section ends with a bunch of guesses or even blank questions.

I’m fine with OG / untimed / with shorter problem sets

I’m sure it’s no surprise to you that you’re better when the timer isn’t ticking. We all are. Unfortunately, the real test is timed, so our untimed performance doesn’t matter. Lots of people also discover that everything’s fine when doing sets out of the Official Guide, especially shorter problem sets. This, again, is to be expected “ the OG isn’t adaptive (so you aren’t getting harder questions when you do well), and it’s easier to keep track of your global time for 5 or 10 questions rather than 37 or 41.

So what do I do?

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Many a true word is said in jest.—I don’t know, but I heard it from my mother.

Folks don’t score as well as they should on the GMAT for a variety of reasons. One major reason for this is that folks worry about the wrong thing.  They worry about what they know, but they should be worrying about what they do.  They should worry about the reality of doing.  As an athlete does physically and as a method actor does mentally.  (Wait for it.)

The GMAT is an aptitude test, not a knowledge test.  It tests the same logic system throughout—in both the math and the verbal.  In both sections, the modus operandi is to be specific, don’t assume, and don’t rationalize.  Be more precise than in life; notice the exact meaning of the words.  It takes classes three weeks to open their third eyes and notice the difference between precision and hoping.  Second, no outside knowledge or assumptions are allowed.  However, the hardest part for GMAT test takers is not to rationalize.  The questions ask what MUST be true, not what COULD be true by adding opinions.  Folks want to demonstrate the depth of their thoughts, but the questions ask what must follow—-so, whatever you do, don’t think. . .much like in life.  Just do.

A student, who was accepted to both Harvard and Stanford, once said to me, The funny thing about the GMAT is that the math is the verbal and the verbal is the math.  Because it is one logic system, there is a truth to this—the verbal is the math because you must not only be as precise as, but also as systematic as you are in quantitative work.  On the other hand, the math revolves around noticing exactly what the words say, as well as and reading and writing with symbols.  Doing the arithmetic and algebra is the moral equivalent of reading English—it is taken for granted and not tested per se.  This is a double edged sword. Folks are ruined because they concentrate on challenging math topics but their shoddy mechanics cost them at least half a minute per problem.  That, however, is a separate reason for, and separate article about, why folks do not score as well as they should.

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