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Basic Math for GMAT

You can find a lot of information online about the GMAT. I will only write what I thought it was important. Although most of the information required for the math part is basic, I was surprised to notice that time passed and my knowledge about math was fuzzy sometimes and I also need it an update of the English equivalents of the terms used.

Integers = negative or positive numbers. Do not include fractions.
= odd or even.

a=b x q + r (q=quotient r=remainder)
Distinct numbers = cannot be equal
Prime numbers = a positive integer that has exactly 2 different positive divisor (1 and itself). 0 and 1 are not prime numbers
Absolute value of 5 is |5|

Divisibility rules:

  • 6 is divisible by 2
  • the factors of 20 are 1,2,4,5,10
  • 20 is a multiple of 4

Remember:
Most problems at GMAT require more than one step in getting the right answer!
If you are not a native English speaker learn the technical terms!

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Data Sufficiency for GMAT

On data sufficiency GMAT problems all the drawings are useless in solving the problem. Also remember TIME is of the essence. If you written down more than three rows of formulas for any GMAT problem … STOP … click on any answer and move on. The closer you think you are to the answer, the more time you loose!

If a question asks “what is x?” it means: can a single value for x be found?

For data sufficiency GMAT problems, when see the word “percent” think part/whole

For a data sufficiency statement to be sufficient there must be as many equations as there are variables.

  • A single equation with two variables cannot be solved
  • Two distinct equations with the same two variables can be solved, using simultaneous equations

Just because there is only one variable does not mean an equation has just one solution.

  • An equation with a variable raised to an even power may have more than one solution
  • An equation with a variable raised to an odd power will have only one solution

Data sufficiency yes or no: if a statement answers the question in the affirmative or in the negative, it is sufficient.

The answer can be no!!!

Never assume!!!

Just because one statement seems to agree with the other does not mean they are necessarily saying the same thing. !!!

When you look at Statement 2 always cover up Statement 1 and think like you never saw it. !!!

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Writing Assessment for GMAT

The essays for GMAT are 30 minutes each.

What you need to remember is:

  • Nobody cares what your opinion really is
  • Be superficial

Tips & tricks:

  • When an entire paragraph contradicts with another use expressions like: on the one hand/on the other hand, the traditional view/the new view.
  • When you support the main idea use: for example, to illustrate, for instance, because.
  • When you use a second argument to support the main idea: furthermore, in addition, similarly, just as, also, moreover.
  • The most important idea that you write must be introduced by one of the following words: surely, truly, undoubtedly, clearly, certainly, indeed, as a matter of fact, in fact, most important.
  • The conclusion starts with: therefore, in summary, consequently, hence, in conclusion, in short.
  • When you talk about the opinion that you argue against, start with: admittedly, certainly, obviously, undoubtedly, one cannot deny that, true, granted, of course, to be sure, it could be argued that.
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Analysis of an argument for GMAT

Before starting to write, at the analysis of an argument essay for GMAT, you must read the text carefully and identify the assumptions.

Paragraphs (as in the post about analysis of an issue):

  1. Write the argument (copy/paste) and point the three weak points you identified.
  2. Write the first weak point and write one reason ore more reasons why it is not true.
  3. Write the second weak point and write one reason ore more reasons why it is not true.
  4. Write the third weak point and write one reason ore more reasons why it is not true.
  5. Write again the three weak points and say that because of those the argument is not “entirely logically persuasive”.

As an example:

  1. The argument that … is based on … but omits certain important concerns that must be addressed to make this argument logically persuasive. The declaration that follows the explanation of what … simply explain …. This alone does not support the main argument.
  2. First the argument assumes that … But …
  3. Second the argument never concentrates on … Although …
  4. Finally, the argument also does not deal with … However …
  5. Thus the argument is not completely persuasive. The argument would have been more comprehensive and compelling if …
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Algebra for GMAT

What I discovered using the 2005 edition of “Cracking the GMAT” (The Princeton Review) was that algebra problems can be solved without using algebra, but an easier method: plugging in.

Basically you just replace with number the unknown data represented with letters. Sounds stupid, but it works and you gain time.

Plugging in a number in the question:

  1. Pick one or more numbers to replace the letters in the problem (question)
  2. Using your numbers, find an answer to the problem
  3. Plug your numbers into the answer choices to see which choice equals the answer you found in step 2

Plugging in a number in the answers:

  1. Always start with answer C. Plug that number into the problem and check if it gives you a solution.
  2. If choice C is too small, choose the next larger number
  3. If choice C is too big choose the next smaller number

If the question contains “must be”, “could be” or “cannot be”, the problems can be solved by plugging in but you may need to plug more than one number.
You must have at least as many distinct equations as you have variables for the equation to be solvable.

ax² + bx + c = 0

x = [-b +/- √ (b²-4ac)] / 2a

Also, simultaneous equation can be solved an addition or subtraction of one equation from the other. This way you can eliminate one of the unknowns.

GMAT’ “most wanted”:

  • (x + y) ² = x² + 2xy + y²
  • (x + y)(x – y) = x² – y²
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