Ever heard of a Math problem that you actually don't have to solve. If you have just started your GMAT prep, then this can be confusing. Don't worry! With some practice, your mind will be trained to think like a DS Wizard. Follow these 10 tips and you will be on your way to mastering GMAT Data Sufficiency.

1. Familiarize with the Answer Choices

No excuses: On Data Sufficiency, they’re always the same! Know in the blink of an eye what choice C is. On test day, if you find that Statement 1 is insufficient, be able to cross out choices A and D without hesitation.

2. Takes notes efficiently

Each statement alone will be sufficient if both of the statements on their own contain all the information necessary to answer the question. The statements will be sufficient together if they contain every piece of necessary information between them. Take the area of a parallelogram: Do you need to know every side length to determine the area? If you have every side length, can you find the area?

3. Don’t look at the statements together.

Statement 2 may tell you that x is negative, but that fact has no bearing on Statement 1 when viewed by itself. Explore all the possibilities offered by each statement individually. If you’ve...

### Top 10 Tips to Ace GMAT Data Sufficiency

### Solving GMAT Questions with two linear equations and two unknowns

In order to solve such equations, you need at least 2 distinct equations involving these unknowns.

For example, if we are trying to solve for x and y, we won't be able to solve it using these 2 equations.

2x + y = 14

4x + y - 14 = 14 - y

Why? Because the two equations on top are the same. If you simplify the second equation, you get 4x + 2y = 28 which reduces to 2x + y = 14 - the same equation as the first. If the two equations are the same, then there will be infinitely many values for x and y that will satisfy the equations. For example, x = 2 and y = 10 satisfies the equation. So does x = 4 and y = 8. And so does x = 6 and y = 2.

In order to solve for an actual value of x and y, we need 2 distinct equations.

For example, if we had

2x + y = 14 --------(1)

x - y = 4 ----------(2)

Then from equation (2), we can get x = 4 + y and substitute that into equation (1) to get:

2(4 + y) + y = 14 We can then solve for y. See if you got y = 2 Once you've got y = 2, you can substitute that into x= 4 + y to get x = 6.

An important lesson here is that you need as many distinct equations...

### How to correctly use Pronouns and Antecedents in GMAT Sentence Corrections

Errors in pronouns—words like he, she, it, they, our, etc.—and antecedents—the words that the pronouns refer to—are among the most common errors in English Grammar. Take this sentence as an example:

Sentence A: I spoke to someone at the help desk, and asked what kinds of product returns the company allows; they told me that they only take unopened items.

This sentence wouldn’t set off any “grammar alarms” for the average reader and speaker of English; however, you, intrepid GMAT test-taker, need to be wiser than average and spot a couple of pronoun/antecedent errors, such as:

1. “They” and “their” are plural pronouns, and CAN’T be used as gender-neutral singular pronouns

One of the most frequently-committed grammar sins in every day speech is the use of “they” and “their” to indicate gender neutrality. Sentence A, above, says “I spoke to someone.” The sentence later says, “they told me,” and based on context it is clear that the “they” in question is the “someone at the help desk.” “Someone” is...

### Here is how you should Prepare for the GMAT While Working

**Categories**: GMAT Preparation

It would have been nice if you could take a break from your work and devote yourself fully into GMAT preparation. Unfortunately, lot of us don't have that luxury. If you have found balancing GMAT prep and your work schedule a near impossible task, don't worry! Our 6 Step plan will help you cross this hurdle:

1. Start with a realistic plan

First you should know where you stand. Start with a full-length GMAT practice CAT under test-like conditions to get a realistic assessment of your skills. The result of your diagnostic should be used to evaluate and better understand your strengths and weaknesses.

The diagnostic will also give you a better idea of how much time you’ll need to set aside for GMAT prep (this also depends on how many hours/week of study time you’ll be able to squeeze in around your work schedule). If you’re only looking to increase your score a few points, you may only need a month or so of prep work. If you’re looking for a bigger gain, don’t worry — it’s definitely possible, but it might take you a bit longer to get there.

2....

### (GMAT 800)The function g(x) is defined for integers x such that if x

The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5. Given that g(g(g(g(g(x))))) = 19, how many possible values for x would satisfy this equation?

A. 1

B. 5

C. 7

D. 8

E. 11

Explanation:

The easiest way to approach this problem is probably to work backwards, at least until we see a pattern.

With g(...) = 19, then we can consider which operation applied to (...). If it was x/2, then (...)= 38. 38 is even so that is fair. If it was x + 5, then (...) was 14. 14 is even, so that operation would not have been applied.

On paper, you could make a tree, with 19 as the root, and 38 as the first node.

Next consider 38. 38 could have come from 76/2 or 33 + 5. Two possibilities give us two nodes branching from 38:

19 -> 38 -> 76, 33.

We can now observe the pattern that with an odd number, it must have come from an even, but an even could come from either of two numbers.

Therefore our 76 will branch into 2 numbers, and the 33 into just one.

33 -> 66

76 -> 73, 152..

We can represent this as shown here:

...

### GMAT Sentence Correction Flow Chart

The above is no substitute for reading each sentence carefully, predicting what the correct answer might look like, and finding it in the answer choices of course. A little more on each of the decision points:

• Whole sentence underlined: There isn't much to say about this. With no part of the sentence left static, there's more to keep in mind; the other decisions still help.

• Answer start or end with a verb: Beware nouns close to the verb that may distract you from the real subject

• Answer start or end with a pronoun: Read carefully for the pronoun's antecedent (the word it's replacing in the sentence)

• Modifying phrase, set apart by comma(s): These phrases are easier to spot and work with when they start the sentence, since you need only look at the first thing after the first comma, but these modifying phrases can appear anywhere.

• Separation of subject and verb: The further apart they are, the more words there will be to confuse you. Try...

### Understanding "Of" for GMAT Quant and Verbal Sections

One of the smallest and least noteworthy words in the English language, the word “of” is crucial to your success on the GMAT, on both the quantitative and verbal sides of the exam. It is of great importance that you recognize these two common appearances of, and traps set by, the word **“of“**:

1) Sentence Correction

In Sentence Correction questions, the word **“of”** is usually employed as a modifier, which the GMAT often throws in to lengthen sentences and distract you from subject-verb agreement errors. Consider the following items:

The number **of** applicants to business schools are increasing given the current economic climate.

The House **of** Representatives are meeting this week to continue working on an environmental bill.

In each instance, the subject is actually the singular noun before the word “of” – “of applicants to business schools” just tells us “which number?”, and “of Representatives” simply indicates “which House?”. The authors of the GMAT know that examinees are often unsure of which noun to choose as the subject; by using the word “of” to set up modifiers with multiple nouns, the writers can exacerbate this problem. If you...

### GMAT Sentence Correction Strategies - Use Logic

The single-most crucial type of Sentence Correction error, Modifiers, Comparisons, and Verb Tenses all share one thing in common: you do not need to be an expert editor to recognize that this sentence is illogical! The introductory phrase in this sentence, “the single-most type…” is clearly meant to describe one item, but the rest of the sentence lists three. This does not make logical sense! Technically you’d call this a modifier error, in that the modifying phrase to begin the sentence – recognizable because it begins the sentence, is separated by a comma, and does not include its own subject and verb (note: these aren’t essential characteristics of any modifier, but they are one surefire way to identify a commonly-occurring type of modifier in which SC errors often crop up) – does not logically modify the noun that follows.

If you want to get really technical, it is an appositive modifier (a noun phrase used to describe another noun), but the GMAT will never require you to describe the...

### (GMAT 800) If n and a are positive integers, what is the units digit

If n and a are positive integers, what is the units digit of n^(4a+2) – n^(8a)?

(1) n = 3

(2) a is odd

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;

B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;

C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient;

D) EACH statement ALONE is sufficient to answer the question asked;

E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

BONUS QUESTION: What actually is the units digit (assuming the answer is not E)?

ANSWER BELOW

One important thing to note about exponents is that, by definition, they indicate “repetitive multiplication” – the multiplication of the same number over and over again. Accordingly, they lend themselves nicely to patterns, as when you perform the same action over and over again you’ll tend to get similar results. When you consider statement 1, that n = 3, look at how 3 multiplies to different exponents:...

### Using Possessive Pronouns in GMAT Sentence Correction

Possessive pronouns aren’t one of the biggest issues tested on the GMAT, but they do appear sometimes, and understanding them can not only potentially boost your Verbal score but can also make you a better writer, which will help in your AWA and your business school application process.

Just like other pronouns, possessive pronouns must have a clear antecedent, and must agree with that antecedent in gender and in number. There are a few tricky rules that come into play with possessive pronouns that you don’t see elsewhere, however.

1.No apostrophes needed

Turning a singular noun into a possessive noun usually involves the use of an apostrophe. For example, you might say “my neighbor’s car.” “Neighbor” is the noun, and to make it clear that the car belongs to your neighbor, you add an apostrophe and an “s”. If we replace “neighbor’s” with “his,” though, we don’t need an apostrophe to indicate possession. People often become particularly confused by the possessive form of one specific pronoun: it. The rule is...

### (GMAT 800 CR Bold Faced) A leading board member of AutoSnip

A leading board member of AutoSnip Co., makers of an automated home haircutting system, recently stated that the company was in terrible shape and headed for a disastrous year. His concern was that, since the introduction of the AutoSnip III last year, calls to the customer service line have nearly doubled, indicating that people are very unhappy with the new product. Although it's true that it is the job of responsible board members to raise issues of concern, in this case the board member's analysis of the situation is mistaken. The customer service line handles not only complaints but also sales, and the majority of the new calls have been to place new orders.

What role do the two boldfaced selections play in the above argument?

A.The first provides evidence supporting the main conclusion of the argument; the second provides evidence supporting a conclusion that the argument opposes.

B. The first provides evidence, an interpretation of which supports the main conclusion of the argument; the second provides evidence supporting the main conclusion of the argument.

C. The first provides incontrovertible evidence opposing the main conclusion of the argument; the second provides evidence supporting the main conclusion of the...

### Top 10 Ways to Save Time in GMAT

1. Prepare: This one is on the obvious side, but too important to leave off the list. The most important things you can do to prepare for the GMAT is to understand all the concepts tested and to be familiar with all the question types. There is no magic formula–the best strategy is to spend a lot of time beforehand practicing and familiarizing yourself with the various concepts and question formats.

2. Be confident: If you know the right answer, stick with it. Often on, say, a Problem Solving question, you’ll need to figure out the right answer before you even get to the choices. Don’t waste time second guessing yourself when you see a different answer that looks appealing; you studied for this, you did the question properly. Select your answer and proceed to the next question.

3. Don’t spend time on calculation: This one is obvious but often overlooked. Data Sufficiency problems ask you to say when you have enough information to answer the question in the prompt, not to actually compute the answer. Sometimes you need to work all the way to a solution, but often, all you need to know is how to get the...

### Top 10 GMAT Problem Solving Tips

The Problem Solving (PS) section of the GMAT may not be as quirky as the Data Sufficiency section of the test – but that doesn’t mean you don’t need to study for it! PS questions require more “straight math” than Data Sufficiency questions; in other words, they’ll probably be more like the questions you’re used to seeing on high school and college math tests. The best way to study? Master the basic concepts from geometry, algebra, statistics, and arithmetic — then check out these 10 helpful tips!

1. Make sure your fundamentals are strong.

The GMAT doesn’t allow you to use a calculator—which means you need to be quick and accurate with basic calculations. Be able to multiply and divide decimals. Know common higher powers and roots. Have fractions down to a science: Knowing right away whether 3/8 is less than 5/12 will mean you have more time later to work on more complicated calculations.

2. Choose numbers wisely.

Even questions that don’t contain variables can still be tackled by choosing numbers wisely. For example, if a question asks you about “a multiple of 6,” it’s probably quicker...

### GMAT Fractions - Don't get lost in the calculations

Have you wondered how writers can make a seemingly simple GMAT topic like fractions into time-consuming calculations. One strategy that GMAT test takers must adopt to simplify the calculations. For example

Dividing by 5 is the same as multiplying by 2/10. For example:

• 840/5 = ?

• 840/5 = 840*(2/10) = 84*2 = 168

Multiplying or dividing by 10’s and 2’s is generally easier than using 5’s. 90% of the time, fractions will be easier to perform arithmetic. Decimals are sometimes more useful when comparing numbers relative to one another, such as in a number line, but these questions are the exception. Even if given a decimal (or percent) looks easy, quickly convert to a fraction. Some common ones to memorize:

• 1/9 = 0.111 repeating

• 1/8 = 0.125

• 1/7 = ~0.14

• 1/6 = 0.166 repeating

• 1/5 = 0.20

• 1/4 = 0.25

• 1/3 = 0.333 repeating

• 1/2 = 0.5 repeating

Note: Multiples of these, such as 3/8 (0.375) are also important to remember, but can easily be derived by multiplying the original fraction (1/8 * 3 = 3/8 = 0.125 * 3 = 0.375)

Denominators are super important. A denominator of a reduced fraction with a multiple of 7 will not have a finite...

### Never actually understood Absolute Values ? Here is your chance!

**Categories**: Absolute Value

Absolute Values (AVs) questions in GMAT can be a time saver for you if you understand a few rules. Capture the following notes and use it as a reference for your GMAT exam.

1. Absolute Value equations are two equations disguised as one

You can split up any equation involving absolutes into two, and solve for each solution. One will look identical to the given, and the other is found by multiplying the inside by -1. Remember to multiply the entire expression by -1.

| (x + 5)/3 | = 11 turns into:

(x + 5)/3 = 11, and

(x+5)/3 = -11

x + 5 = 33

x + 5 = -33

x = 28 x = -38

Note that plugging either x = 28 or x = -38 into the original equation will check out. Also note that solutions for variables within absolute value questions can be negative. What is spit out of the AV cannot be negative, but what goes in can be anything.

2. Think of Absolute Values as distances from zero

If an AV = 15, that means whatever is inside the AV is exactly 15 above or below zero on the number line.

...

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