Archives For How To Study

gmat 750+A few months ago, I wrote a couple of articles targeted toward those students looking for a super-high score (one for quant, one for verbal). I challenged students to answer those questions in much less time than we typically average on test questions.

Well, I’m back with another one in the series. This problem is a bit different though: it’s from our Challenge Problem archive, a question bank consisting of what we call 800+ level problems. (Some might qualify as 750+ but most are harder than anything you’ll ever see on the real test.)

Do you need to be able to answer a question like this in order to score 750+? Absolutely not. (In fact, after my colleague Ron Purewal submitted this question, I tested it out on several of my fellow instructors, all of whom have scored 760+ on the test. Not everyone answered correctly.) Mostly, I’m offering this to stretch your brains, drive you a little crazy, and make one important point (see my second takeaway at the end).

If, however, quant is your strength and you’re hoping to score 51 in that section—you can certainly score 51 without getting this one right, but if you do get this one right in 2 minutes, then you know you’re ready for the quant section.

One more tidbit before we dive in. I chose this question because it is SO very hard. As of right now (as I’m typing this), 254 people have tried this problem and 44 have answered it correctly.

Do a little math here. What percentage of people answered the question correctly?

17%. Random guess position is 20%. Wow.

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challenge problem
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:

The octagon in the diagram above is regular: all of its sides are of equal length, and all of its angles are of equal measure. If the octagon’s perimeter is 8 inches, and every other vertex of the octagon is connected to create a square as shown above, what is the area of the square?

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challenge problem
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 5a + 7b = k, where a and b are positive integers, what is the largest possible value of k for which exactly one pair of integers (ab) makes the equation true?

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Are you feeling incredibly stressed out when you sit down to study for the GMAT? (Or maybe I should ask, who isn’t?) Do you find it hard to concentrate on the task at hand?

Researchers at the University of California at Santa Barbara recently published the results of a study following 48 undergrads seeking to boost “cognitive performance.” Jan Hoffman details the research in a blog post over at The New York Times; here’s a summary.

The Motivation

“We had already found that mind-wandering underlies performance on a variety of tests, including working memory capacity and intelligence,” said Michael D. Mrazek, (quoted from the NYT blog post)

Ah, yes, “mind-wandering.” We’ve all had this experience. We’re taking a test, the clock is ticking, and we keep finding ourselves thinking about something other than the question we’re supposed to be answering right now. Maybe we’re stressing about our score. Maybe we’re thinking about applications. Maybe we’re even distracted by work, significant others, family, or other issues that have nothing to do with the test!gmat meditation

How do we stop fixating on other things and concentrate on the task at hand? This study tried to find out.

The Study

First, the students were given one verbal reasoning section from the GRE (fairly similar to the GMAT, except that the GRE emphasizes vocabulary more heavily than grammar). They also completed a task that measured their working memory. These tests are the “baseline” results.

The students were split into two groups; let’s call them Group M and Group N.

Group M attended meditation classes four times a week; these students learned lessons on “mindfulness,” which focuses on breathing techniques and helps to minimize distracting thoughts.

Group N attended nutrition classes, designed to teach these students healthy eating habits.

Afterwards, the students were given another GRE verbal section and another task to measure working memory. The performance of students in group N stayed the same; the nutritional studies didn’t make a difference.

Group M students, however, improved their GRE scores by an average of 12 percentile points! Here’s the best part: the study took just two weeks. You read that correctly: these students improved their verbal scores by 12 percentile points in just two weeks.

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challenge problem
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:

The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer?

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Last time, we took a look at the Meteor Stream passage from the free set of questions that comes with GMATPrep® (not from the practice CATs). Click the link in the previous sentence and open up that passage in a separate window (I’m not going to show it here because it’s so long!).

Ready for the question? Give yourself about 1.5 to 2 minutes to answer.

The Question

“The passage suggests that which of the following is a prediction concerning meteor streams that can be derived from both the conventional theories mentioned in the highlighted text and the new computer derived theory?”

[Note: when this question is given during the test, the phrase Conventional theories is also suddenly highlighted in yellow in the passage. This text appears at the start of the second-to-last sentence of the first paragraph.]

“(A) Dust particles in a meteor stream will usually be distributed evenly throughout any cross section of the stream.

“(B) The orbits of most meteor streams should cross the orbit of the Earth at some point and give rise to a meteor shower.

“(C) Over time the distribution of dust in a meteor stream will usually become denser at the outside edges of the stream than at the center.

“(D) Meteor showers caused by older meteor streams should be, on average, longer in duration than those caused by very young meteor streams.

“(E) The individual dust particles in older meteor streams should be, on average, smaller than those that compose younger meteor streams.”

Solution

gmat meteor streamThis is a detail question, so we’re going to use our notes and any clues in the question stem to know where to look. The question stem gives us one huge clue: it actually highlights a portion of a sentence in the first paragraph.

Next, the question says “the passage suggests,” so this is an inference question. Finally, the question is asking for a prediction that can be drawn from both the conventional theories and the new computer theory—in other words, where do these two theories agree?

Take a look at your notes. Mine are below, but everyone will have somewhat different notes.
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challenge problem
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:

In a certain type of tiling called Penrose P3 tiling, two types of rhombi fill a space without gaps or overlaps: wide rhombi and narrow rhombi. If five of the wide rhombi can meet symmetrically at a single point, while ten of the narrow rhombi can, what is the ratio of the largest angle in one narrow rhombus to the largest angle in one wide rhombus?

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The Power(s) of 2

Joe Lucero —  April 25, 2013 — 4 Comments

gmat bracketEven though the NCAA tournament finished up earlier this month, for the next ten months I will be thinking about college basketball whenever I see the first several powers of two. No matter what type of GMAT question you are dealing with, our minds are better able to work through topics that we are already familiar with. Probability problems make me think of gambling, weakening a GMAT argument becomes shooting down an argument from that crazy relative you only see at Thanksgiving, and anything dealing with the number 64 comes down to rounds in a basketball tournament. Here’s a few tricks on the GMAT where knowing your powers of two can save you some time and brainpower.

 

1.  64 = 2^6

Know how to translate larger numbers into their smaller factors

Since 1985, every team that has won the NCAA tournament has had to win six games. By multiplying two times itself, you can expand to each round of the NCAA tournament- 2, 4, 8, 16, 32, and 64. And because these numbers are all small and have a single prime factor, they commonly end up on the GMAT. Because of this, you should be able to recognize them and quickly put each one into its base of two: 2 = 2^1, 4 = 2^2, etc. Same for the powers of three- 3, 9, 27, 81. The number 81 is far more likely to show up on your GMAT than 83, because 81 is a power of 3 that can be broken down into small prime factors. Without a calculator, numbers that are easy to break down show up 2 x 5 times more often than they do in the real world.

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