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Data Sufficiency Questions: How to Know When Both Statements Together [#permalink]
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FROM Veritas Prep Blog: Data Sufficiency Questions: How to Know When Both Statements Together Are Not Sufficient

Today we will discuss a problem we sometimes face while attempting to solve Data Sufficiency questions for which the answer is actually E (when both statements together are not sufficient to answer the question). Ideally, we would like to find two possible answers to the question asked so that we know that the data of both statements is not sufficient to give us a unique answer. But what happens when it is not very intuitive or easy to get these two distinct cases?

Let’s try to answer these questions in today’s post using using one of our own Data Sufficiency questions.

A certain car rental agency rented 25 vehicles yesterday, each of which was either a compact car or a luxury car. How many compact cars did the agency rent yesterday?

(1) The daily rental rate for a luxury car was $15 higher than the rate for a compact car.

(2) The total rental rates for luxury cars was $105 higher than the total rental rates for compact cars yesterday

We know from the question stem that the total number of cars rented is 25. Now we must find how many compact cars were rented.

There are four variables to consider here:

  • Number of compact cars rented (this is what we need to find)
  • Number of luxury cars rented
  • Daily rental rate of compact cars
  • Daily rental rate of luxury cars
Let’s examine the information given to us by the statements:

Statement 1: The daily rental rate for a luxury car was $15 higher than the rate for a compact car.

This statement gives us the difference in the daily rental rates of a luxury car vs. a compact car. Other than that, we still only know that a total of 25 cars were rented. We have no data points to calculate the number of compact cars rented, thus, this statement alone is not sufficient. Let’s look at Statement 2:

Statement 2: The total rental rates for luxury cars was $105 higher than the total rental rates for compact cars yesterday.

This statement gives us the difference in the total rental rates of luxury cars vs. compact cars (we do not know the daily rental rates). Again, we have no data points to calculate the number of compact cars rented, thus, this statement alone is also not sufficient.

Now, let’s try to tackle both statements together:

The daily rate for luxury cars is $15 higher than it is for compact cars, and the total rental rates for luxury cars is $105 higher than it is for compact cars. What constitutes this $105? It is the higher rental cost of each luxury car (the extra $15) plus adjustments for the rent of extra/fewer luxury cars hired. That is, if n compact cars were rented and n luxury cars were rented, the extra total rental will be 15n. But if more  luxury cars were rented, 105 would account for the $15 higher rent of each luxury car and also for the rent of the extra luxury cars.

Event with this information, we still should not be able to find the number of compact cars rented. Let’s find 2 cases to ensure that answer to this question is indeed E – the first one is quite easy.

We start with what we know:

The total extra money collected by renting luxury cars is $105.

105/15 = 7

Say out of 25 cars, 7 are luxury cars and 18 are compact cars. If the rent of compact cars is $0 (theoretically), the rent of luxury cars is $15 and the extra rent charged will be $105 (7*15 = 105) – this is a valid case.

Now how do we get the second case? Think about it before you read on – it will help you realize why the second case is more of a challenge.

Let’s make a slight change to our current numbers to see if they still fit:

Say out of 25 cars, 8 are luxury cars and 17 are compact cars. If the rent of compact cars is $0 and the rent of luxury cars is $15, the extra rent charged should be $15*8 = $120, but notice, 9 morecompact cars were rented than luxury cars. In reality, the extra total rent collected is $105 – the $15 reduction is because of the 9 additional compact cars. Hence, the daily rental rate of each compact car would be $15/9 = $5/3.

This would mean that the daily rental rate of each luxury car is $5/3 + $15 = $50/3

The total rental cost of luxury cars in this case would be 8 * $50/3 = $400/3

The total rental cost of compact cars in this case would be 17 * $5/3 = $85/3

The difference between the two total rental costs is $400/3 – $85/3 = 315/3 = $105

Everything checks out, so we know that there is no unique answer to this question – for any number of compact cars you use, you will come up with the same answer. Thus, Statements 1 and 2 together are not sufficient.

The strategy we used to find this second case to test is that we tweaked the numbers we were given a little and then looked for a solution. Another strategy is to try plugging in some easy numbers. For example:

Instead of using such difficult numbers, we could have tried an easier split of the cars. Say out of 25 cars, 10 are luxury and 15 are compact. If the rent of compact cars is $0 and the rent of luxury cars is $15, the extra rent charged should be 10*$15 = $150 extra, but it is actually only $105 extra, a difference of $45, due to the 5 additional compact cars. The daily rental rent of 5 extra compact cars would be $45/5 = $9. Using these numbers in the calculations above, you will see that the difference between the rental costs is, again, $105. This is a valid case, too.

Hence, there are two strategies we saw in action today:

  • Tweak the numbers slightly to see if you will get the same results
  • Go for the easy split when choosing numbers to plug in
Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

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Understanding and Exceeding Ivy League Admissions Requirements [#permalink]
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FROM Veritas Prep Blog: Understanding and Exceeding Ivy League Admissions Requirements

There are a variety of admissions requirements for Ivy League colleges. High standardized test scores, a stellar GPA throughout high school, and a gathering of outstanding extracurricular activities are a just a few of them.

Why are Ivy League admissions requirements so challenging to fulfill? The reason is that Ivy League schools such as Princeton and Harvard want to fill their freshman class with students who have the ability to excel in their academic studies. Plus, Ivy League schools want to attract ambitious students who will be a credit to the school while they are there, as well as after they graduate.

High school students who want to apply to these colleges must put in the work to meet, or even exceed, Ivy League school requirements. Consider these tips for students who want to exceed Ivy League admissions requirements:

Take Challenging Courses in High School

Admissions officers at Ivy League schools will certainly notice a high GPA on an applicant’s transcripts. But the transcript evaluation doesn’t stop there. Most admissions officers look at the specific courses taken by students throughout high school. Did the student take on challenges by signing up for increasingly difficult classes each year? Taking on challenging work reflects a student’s desire to learn new subjects and test their abilities in order to strengthen them.

A Highly Competitive SAT or ACT Score

One of the most well-known Ivy League requirements is a high SAT or ACT score. Most Ivy League schools like to see students who scored in the 99th percentile on these exams. At Veritas Prep, we prepare students for the new SAT as well as the ACT, and each of our SAT and ACT prep courses is taught by an instructor who scored in the 99th percentile on their respective test. Students who sign up with Veritas Prep have the opportunity to work with tutors who mastered the SAT and ACT, and they can choose from either online or in-person tutoring options.

Dedication to Extracurricular Activities

Meaningful extracurricular activities are also on the list of Ivy League requirements. Ivy League admissions officers take note of the kind of activities a student has participated in as well as the duration of the person’s participation. For example, a student who volunteers for an organization for several years, holds office in school government, and participates in two or three clubs all through high school is showing dedication to a few significant activities. This is preferable to participating in dozens of activities for a short period of time.

A Standout Application Essay

An application essay is another requirement of Ivy League schools. Admission requirements that officials look for include essays that are sincere and include specific details about a student’s life and experiences. An application essay gives officials the chance to look past the transcripts and test scores at the student who wants to earn a degree at the school. At Veritas Prep, our college admissions consultants have the skills and background to help students craft standout application essays. Our professional consultants are very familiar with Ivy League entrance requirements and what these schools are looking for in prospective students.

Glowing Letters of Recommendation

Great letters of recommendation are another admissions requirement for Ivy League colleges. Students must ask for letters of recommendation from teachers, mentors, and employers who know them very well. An ideal letter of recommendation is written by an adult who has known the student for several years and has unique insight into the person’s character, work ethic, and goals.

A Memorable Interview

A student who gets the opportunity to meet with officials at an Ivy League school for an interview should be confident and enthusiastic about the college. A student should focus on what they can contribute to the school. Also, it’s a good idea for a student to mention specific resources that they will take advantage of at the school, such as a special collection in the library or a science lab. School officials appreciate seeing a student who is excited about the prospect of studying at their institution.

At Veritas Prep, we can help students meet the challenging admissions requirements of Ivy League colleges. Whether it’s teaching students strategies to use on the SAT, ACT practice, or providing guidance on an application essay, we are here to assist ambitious students. Contact Veritas Prep today!

Do you need help with your college applications? Visit our College Admissions website and fill out our FREE Profile Evaluation for personalized feedback on your unique background! And as always, be sure to follow us on Facebook, YouTube, Google+, and Twitter!

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Strategies for GRE Reading Comprehension [#permalink]
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FROM Veritas Prep Blog: Strategies for GRE Reading Comprehension

The Graduate Record Examination, or the GRE, has three sections – one of them is the Verbal Reasoning section. Within this section, there are sentence equivalence, text completion, and reading comprehension questions. The reading comprehension questions test a student’s ability to understand the type of reading material they will deal with in graduate school courses. Look at the types of reading comprehension questions found on the GRE and learn how to effectively study for them:

What Skills Are Needed to Master Reading Comprehension Questions on the GRE?

Many of the reading comprehension questions on the GRE require students to summarize passages and draw conclusions about what they’ve read. Students need to be able to find the strengths and weaknesses in a position taken by the author of a passage. Recognizing vocabulary words used in sentences and understanding how they contribute to the overall meaning of a passage are other skills a student needs to know. Also, they have to be able to distinguish main ideas from minor details.

In order to find success with these types of questions and others, students must know how to read in an active way by asking questions and drawing conclusions as they go. These skills will prove invaluable in graduate school, as well.

The Types of Reading Comprehension Questions on the GRE

The types of questions on the test help to measure a student’s skills in reading comprehension. GRE questions are mostly multiple-choice. There are traditional multiple-choice questions where a student chooses one option out of several. Also, there are reading comprehension questions that ask students to choose more than one answer – there may even be three correct answers to one question.

Select-in-passage questions are also included on the GRE. To answer this type of question, a student must read a passage and click on or highlight a particular sentence that fulfills a given description. Select-in-passage questions are only found on the computer-based GRE. Individuals taking the paper-based version of the GRE will answer multiple-choice questions that measure the same skills as select-in-passage questions.

GRE Reading Comprehension Tips

Along with contacting Veritas Prep, students can do many things to prepare for the GRE. Reading comprehension practice questions are a necessity for any student who wants to fare well on the test. Students can go online to find GRE reading comprehension practice questions that can help them to determine what skills to work on.

Another thing to do when preparing for the test is to study vocabulary words found on the GRE. Becoming familiar with these words and their definitions can help students better understand the sentences and passages on the test.

In addition to learning vocabulary words, it’s a good idea for students to make it a point to read magazine and newspaper articles. A sample GRE reading list could include The New York Times, The Atlantic Monthly, Popular Science, and The Economist. Seeing various vocabulary words in context is helpful when a student is trying to retain new definitions. One of the best GRE reading comprehension tips for students to follow is to establish the habit of becoming an engaged reader, whether you’re reading fiction or nonfiction. Asking questions and looking for the meaning within a piece of written work is something every reader has to learn and practice.

At Veritas Prep, we provide GRE tutoring services to students who would like some help preparing for the reading comprehension questions on the exam. Each of our instructors has achieved a high score on the GRE, so students who work with us are learning from individuals who have mastered the reading comprehension questions, along with all of the others, on the GRE! Reading comprehension strategies play an important part in our GRE prep classes. We show students how to simplify the process of arriving at the correct answer option.

Our professional instructors at Veritas Prep know how to prepare students for the GRE. We review reading comprehension questions with students to determine both their weaknesses and strengths. Consequently, we can make the most efficient use of a study period. And we are proud to offer both online and in-person GRE prep classes to meet the needs of our students. Contact Veritas Prep today to sign up for success on the GRE!

Want to jump-start your GRE preparation? Register to attend one of our upcoming free online GRE Strategy Sessions or check out our variety of GRE Course and Private Tutoring options. And as always, be sure to follow us on Facebook, YouTube, Google+ and Twitter!

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Tackling the Management Leadership for Tomorrow MBA Prep Program Appli [#permalink]
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FROM Veritas Prep Blog: Tackling the Management Leadership for Tomorrow MBA Prep Program Application

Thinking about applying to the premier MBA prep program for underrepresented minorities? Then you have already made a great decision! Management Leadership for Tomorrow (MLT) offers a comprehensive MBA prep program that has a track record of successfully landing minority applicants at some of the top MBA programs in the world. Before you read on, learn more about this program here.

Unlike other similar programs, MLT’s admissions process and criteria are almost as selective as the top MBA programs for which it serves as a feeder into. Let’s explore a few things to keep in mind as you begin to tackle your MLT MBA Prep application:

Eligibility:

As far as eligibility goes, you will need to be a U.S. citizen and an underrepresented minority to qualify for this program – only African American, Latino, or Native American candidates can participate. Also, you will need to be a college graduate of a four-year university and have at least one year of post-graduate work experience.

GMAT Score:

As part of the application process, candidates will need to take an official or practice GMAT exam and score at least a 500. If admitted into the program, candidates will have to submit an official score by January 15th 2017.

Essays:

Essays for an MBA prep program? Yes, you guessed it! Applying to the MLT MBA Prep program is serious business. MLT asks for its applicants to complete both traditional essays as well as video essays to be considered. Take the essay portion seriously – the more you can connect your career goals to some underlying passion and ability to give back to the community, the better off you will be. MLT loves mission-based MBA journeys, so if there is an underlying passion driving your MBA goals, make sure to communicate this in your application essays.

Application:

As I’m sure you can tell by now, there are many similarities between actual MBA applications and the MLT MBA Prep application. Your application will need to include a resume that captures your work experience and other relevant interpersonal skills, like leadership and teamwork. Another factor that is important in the evaluation process is your recommendations, so I would also make sure you have sound recommenders lined up.

Cost:

Very few things in life, are free and something as valuable as the MLT MBA Prep program also comes at a cost. But hey, when considering admission into the school of your dreams is a potential outcome, then the costs seem may seem more negligible. The actual application fee is relatively minor – coming in at $95 – but if admitted, fellows are required to submit a $750 program fee. The silver lining here is that $250 of that program fee is refundable at completion of the program.

MLT’s MBA Prep program represents a fantastic opportunity and a great pre-MBA program for minorities. Although the application process may seem cumbersome, the opportunity to take advantage of all of MLT’s resource and achieve your MBA goals is something that cannot be passed up!

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on FacebookYouTubeGoogle+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You can read more articles by him here.

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The Biggest Mistakes You Can Make in the GRE Verbal Section: Sentence [#permalink]
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FROM Veritas Prep Blog: The Biggest Mistakes You Can Make in the GRE Verbal Section: Sentence Equivalence Questions

Let’s talk some GRE Verbal. Now, if you’re studying for the GRE Verbal section, you’re thinking about Text Completion and Sentence Equivalence as two major question types that you need to be ready for. And as you’ll see, you can talk about them in terms of the word “vocabulary,” because the right answers tend to be an individual word or a short phrase that is some kind of “vocabulary” –  a word you need to know the meaning of and fit into the meaning of the sentence.

Here’s where students tend to study wrong, ineffectively, and inefficiently: they over-study their 500-word flash card decks (the most ridiculous and obscure words they can find). Yes, you do need to have a decent vocabulary to do well on these questions, but what these students don’t study enough as they’re chasing really strange words over and over again – which they may only see three or four of on test day – is knowing that, very often, these questions require you to work.

Continue reading or check out our video explanation of this concept below:



It’s not about knowing some memorized definition of a weird word – often, the test will use words you know, but you will need to work a little bit to figure out exactly what type of meaning you need in that sentence, and whether that word you’re looking at (a word you probably use in sentences every day, week, month, etc.) has the precise meaning you need in that particular space.

Now let’s take a look at this Sentence Equivalence example that will shed some light on what we’re talking about:

While the cost of migrating to more automated piloting and air traffic control systems is substantial, the eventual cost savings are large enough that the up-front expenditures are not as ______ as opponents claim.

Select the two choices that fit the meaning of the sentence and give the sentence the same meaning.

(A) fiscal

(B) imprudent

(C) reasonable

(D) excessive

(E) massive

(F) paltry

Now, if you look at what’s going on in this sentence, we have a contrast (and the word “while” sets this up). The sentence is saying that even though the cost is substantial – we’re agreeing this will cost a lot of money – what you’re going to save in the long run means that it’s not as *blank* (as big of a deal) as opponents claim.

What tends to happen with this problem is people look for synonyms. They say, “We think the cost is big, but maybe not as big as we once thought,” so they’ll look and see “excessive” and “massive” –two words that in some way mean “big”. Then they’ll pick those answer choices and get this question wrong. Why are these choices wrong? It’s about a little, subtle difference in meaning, and the Testmaker wants to reward those who pick up on it.

The word “massive” means “big,” while the word “excessive” means “too big.” If you look at what’s going on in the sentence, anytime there’s a comma (or two sentences in one prompt), the part that is not near the blank space really does matter. This is a classic “Think Like the Testmaker” moment – you should be thinking, “Why did they put that part there? To reward those who are thinking of the meaning of the whole sentence.”

Nobody is arguing that changing to automated piloting is not a big cost. Nobody is saying, “Hey, while it’s big, actually it’s not big.” What they really want to say is, “Hey, this is going to cost you a lot of money – it’s a big expenditure up front – but in the end, you’re going to save enough money that it’s not too big of an investment or an unwise decision.” So what you really want here is “too big”. We’re not debating whether the expense is big or not; we’re only debating whether it’s a wise investment, or too much to spend up front.

With this in mind, answer choice E, “massive” or “big,” is wrong, even though it’s really tempting. “Imprudent,” on the other hand, means “impractical” or “too big,” which is what we’re looking for. So the answers are B and D. Again, what this question really comes down to is that tiny, subtle difference between the meanings of words that you know. In this case, we want “too big,” so the test tries to hit you with a word that means “big.” That’s what we mean when we say you need to prepare to work on these questions. It’s about understanding the meaning of the sentence as a whole, finding those subtle differences, and holding up the words you’re putting in the blank and saying, “Is that really the exact word I need, or are they just overall related?”

As you study for the GRE Verbal section, you do want to have a good vocabulary, but don’t let that come at the expense of your willingness to really go to work on subtle differences in meaning with words that you know.

Want to jump-start your GRE preparation? Register to attend one of our upcoming free online GRE Strategy Sessions or check out our variety of GRE Course and Private Tutoring options. And as always, be sure to follow us on Facebook, YouTube, Google+ and Twitter!

By Brian Galvin.

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How to Successfully Prioritize in Business School [#permalink]
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FROM Veritas Prep Blog: How to Successfully Prioritize in Business School

Once you get to business school, you’re going to hit the ground sprinting. It’s like a tornado picked you up and is whirling you through school, almost literally. The best way to not get stuck in this tornado is to have strict priorities, and actually stick to them. It’s fine to not know exactly what you want to do when you graduate yet, but you should at least have a general idea. And if you can figure out specifically what your goals are before you get to campus, you’ll certainly benefit.

So, here’s how you can prioritize both before and during your time at business school:

1) Get really comfortable talking to people on the phone. The more phone calls you can have with current students and alumni, the better. These will be helpful in initially determining where you want to go to school, and eventually in determining what you should get involved with once you get to campus.

2) Set a list of 3 priorities for yourself. What do you really want to get out of your time at business school? These can include finding a post-MBA career, gaining Quant skills, making new friends, having a lot of fun, etc. Determine why you want to go to business school and make sure you’re sticking to your priorities while you’re there. These priorities could change from month to month. In August, maybe your priority is meeting as many of your classmates as possible. In November, maybe your priority is learning how to case for consulting interviews. Just continue to check in with yourself throughout the year and make sure you’re on track with your goals.

3) Do your research. Every MBA program will have a huge selection of clubs for you to choose from. Looking to get into real estate? There’s a club for that. Want to do business in Africa? There’s a club for that too. Once you know what your goals are, you can then find clubs that align with your interests. But remember, don’t get too distracted by the allure of the Ice Hockey Club (or any other club that doesn’t really relate to your goals) if it’s going to pull you away from your main priorities.

4) Figure out what time commitments you want to add to your class schedule, because class already requires a lot of effort, especially if you don’t come from a quantitative background. In addition to general club membership, you’ll have the opportunity to take on leadership positions in your first year of school. Do you want to be your section’s president? How about the VP of Career Development for your target club? Holding a leadership position like these will take up more of your time than general club membership will, so factor these potential time commitments in when you’re deciding which clubs to join.

5) Know what you don’t want to do. If you don’t want to go into consulting, don’t waste your time on it. It’s really easy to get caught up in a sea of corporate presentations when all of your classmates are talking about really interesting companies, but if you know that you want to go into marketing, you probably don’t need to spend two hours at that BCG presentation with your consulting-focused classmates.

6) Determine a scheduling system that works for you. If you don’t use iCal or Google Calendar, etc., you might want to start. During your time at business school, there will be a lot of meetings, company presentations, study sessions, and social events that you’ll want to keep track of on the go. Make sure you have a way to remember everything so you don’t miss out on what’s important.

Before business school, I was very paper-oriented and I had a schedule written out almost daily. Now I almost exclusively use my iCal and sync it to my phone since I sometimes only have 5 minutes to get from one event to another, and it’s much easier to have my phone automatically tell me where to go than to have to pull out my paper planner.

Business school is only 2-3 years of your life. Make sure you’re prepared to take advantage of all of the resources that will be available to you, and be sure to make the most of it. Having priorities before you get to school will help you stay focused and on track for success. If you’re not sure what you want to go into yet, talk to the people at Veritas Prep – we’re here to help!

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Colleen Hill studied Middle Eastern and North African Studies at UCLA before heading to Michigan’s Ross School of Business to pursue international development consulting in Africa. She’s very happy she took accounting and statistics in the year before she moved to Ann Arbor.

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The Biggest Mistakes You Can Make in the GRE Verbal Section: Text Comp [#permalink]
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FROM Veritas Prep Blog: The Biggest Mistakes You Can Make in the GRE Verbal Section: Text Completion Questions

If you’re studying for the GRE Verbal section, you’re probably thinking a lot in terms of vocabulary. Both the Text Completion and Sentence Equivalence question types involve selecting a word that fills in a blank – a classic vocabulary-type setup.

While you do need a healthy vocabulary to be able to succeed on the Verbal section, people that overemphasize vocabulary (who are memorizing as many obscure words and definitions as possible) tend to feel a bit underprepared when they get to the test for the amount of critical thinking and work you need to put into some of these questions.

Before you continue, check out Part 1 of this lesson here, then keep reading or check out our video explanation of this concept below:



One thing to think about with GRE Verbal questions is how much work and critical thought you’ll need. It’s not just a quick response of, “Oh! I know that meaning; I know that word!” As you’ll see with the example below, a lot of times you need to be flexible in your thinking, willing to split hairs on the meanings of words that you already know, and have that willingness to start over and take a fresh look at the problem.

Now let’s take a look at what we mean by this concept with an example question:

Because of the author’s (i)______, many readers consider his latest work (ii)______ but, in reality, as many knowledgeable critics point out, the piece (iii)______.

Blank (i)

A) eloquence

B) prejudice

C) verbosity

Blank (ii)

D) inaccessible

E) poignant

F) polarizing

Blank (iii)

G) lack coherence and lucidity

H) has no discernible conclusion

I) is the most succinct on the subject

This is a classic Text Completion problem where you have three blanks and three answer choices for each. Now let’s talk about how people tend to approach this question:

Test-takers tend to find that the first two blanks agree with each other. “Because of one thing, someone will think another thing that is related.” As such, they start to see relationships between some of the answer choices. They might say, “Because someone is so ‘eloquent’ we think that their point is ‘poignant.'” Or, they might say, “Because someone is so ‘prejudiced’ people find their work is ‘polarizing.'” Or you may even say, “Due to the ‘verbosity’ – because someone uses so many words – their work is ‘inaccessible’ and difficult to get into.”

Now, the trick (or trap) with this kind of a setup is that test-takers tend to fall in love with their favorite pairings of the first two answer choices (A/E and  B/F). Maybe this is because people tend to start with answer choice A (eloquence) and then find a nice match for it (poignant). Then they just want to wedge in one of the last answer choices. A lot of times, test-takers will answer this question with “eloquence,” “poignant,” and “no discernible conclusion” or “lacks coherence.”

Here’s where you need to think critically about this question, and where the work really comes into play. Is it the really the case that the opposite of “poignant” is “doesn’t have a discernible conclusion” – that this is the counterpoint that comes with the transition word “but” in the middle of the sentence?  What if there isn’t really a conclusion because the author’s work is open-ended? It’s up for interpretation, but it could still be poignant. This is at least a possibility you might want to think about.

This also gets into one other thing that people tend to be underprepared for: making sure that every word in the prompt matters. In writing this test, the question writers aren’t getting paid by the word. If they put in something about “knowledgeable critics,” you should be asking yourself, “Why would these critics be the ones to point this out?” If you’re at this point still thinking about the first two answer choices maybe you’re right, but you should also see this as an invitation – you have to know, particularly if there’s a third blank space, with 5-7 words in some of the answer choices, that the Testmakers put that there, not because of a vocabulary word, but because of the meaning of the sentence. You’re really looking for one combination that has a very clear, very logical meaning.

So if we focus on these knowledgeable critics, again, you should ask yourself, “Why would they need to be the ones to point something out?” What you’ll find is that the correct logic for this question is that because of the author’s “verbosity” people find the work “inaccessible” and hard to get into, but, as the “knowledgeable critics” will point out, “We know this topic inside and out. This is actually the most succinct work you’re going to find on this dense topic. It’s not the author’s fault for being verbose.” So the correct answers are options C, D, and I.

The overall lesson of this question is important: when you have multiple blanks, a lot of times this means you need to go to work. You can’t fall in love with a strategy like, “Oh, great! I went from left to right, I found an answer for Blank 1 that I like that fits with an answer from Blank 2 that I like. Now I’ll just try to take a square peg and put it in a round hole with Blank 3 so I can be done…” One of the great virtues with multiple blank text completion is that you need to have the patience to say, “This is an okay triplet or pair, but I may be able to do better,” and then to start over and really go to work.

So as you approach GRE Verbal, make sure you have a robust vocabulary to go into it, but don’t let that come at the expense of your willingness to roll up your sleeves, really think of the meaning of the entire sentence, and maybe start over and look for different combinations. Because in a lot of ways, GRE Verbal is about your willingness to work.

Want to jump-start your GRE preparation? Register to attend one of our upcoming free online GRE Strategy Sessions or check out our variety of GRE Course and Private Tutoring options. And as always, be sure to follow us on Facebook, YouTube, Google+ and Twitter!

By Brian Galvin.

The post The Biggest Mistakes You Can Make in the GRE Verbal Section: Text Completion Questions appeared first on Veritas Prep Blog.
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Is Taking the GRE Without Studying Really an Option? [#permalink]
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FROM Veritas Prep Blog: Is Taking the GRE Without Studying Really an Option?

Students who want to go to graduate school and earn an advanced degree have a lot of things to accomplish before they start that journey. Taking the Graduate Record Examination, or the GRE, is just one of the things on the to-do list of a future graduate student.

Some students wonder if it’s necessary to study for the GRE. Can they save themselves some time by taking the GRE without studying for it? If you’re considering this tactic, learn the risks of taking this exam without preparing for it. Also, discover what students can do to earn an impressive score on the GRE.

The Disadvantages of Taking the GRE Without Studying

A student who sits down to take the GRE without studying is likely to be familiar with a lot of the topics on the test. But it’s also likely that the person’s score won’t reflect what they are really capable of.

For example, a student who doesn’t study may feel confident about most of the arithmetic, geometry, and data analysis questions on the Quantitative Reasoning section of the GRE, but the student might be confused by some of the algebra problems. They might vaguely remember some of the concepts but be unsure how to put them into practice. As a result, the student would receive a low score on the Quantitative Reasoning section. This is something that the student could’ve avoided with a few weeks of algebra review and practice.

Another disadvantage of taking the test without preparing is that a student won’t be familiar with the content or the structure of the GRE. Being familiar with the test ahead of time can give a student an extra dose of confidence on test day.

How Long Does it Take to Prepare for the GRE?

Once a student makes the decision to prepare for the GRE, they will want to know how much time to devote to the process. Students should take a practice test to determine the amount of time needed to prepare. A student who does well in every subject but one may only need one month of study, while another student must study for six months to ensure success on every section of the test. GRE preparation time depends upon the individual and their need for review.

How to Prep for the GRE

Along with taking a practice test, one of the best tips for students who are planning to take the GRE is to create a study schedule. It’s best if they incorporate study hours into their daily routine. Some students may set up a schedule that allows them two hours of GRE study per day. For instance, on Monday, a student might work on memorizing ten new vocabulary words and their definitions and tackle two pages of algebra problems. Tuesdays could be for studying geometry problems and working on reading comprehension skills, such as drawing conclusions and finding main ideas. Creating a study schedule allows a student to absorb the necessary study material in a gradual way.

At Veritas Prep, we offer courses that help students prepare to conquer the GRE. Our professional instructors teach strategies to students that they can use on every section of the exam. Furthermore, we hire instructors who have excelled on the test. In short, our students get valuable GRE advice from instructors who have been there and done that!

Tips for Success on the Exam

When it comes to the GRE, one of the most effective study techniques is to create flashcards for unfamiliar vocabulary words. A student can use the flashcards during regular study time or review them while waiting in a line at a store or sitting in the dentist’s office. They are a convenient study tool. Another useful piece of GRE advice for students is to check off each skill as they master it. This provides encouragement for students and helps them see solid progress as test day approaches.

Students who want to know more about how to prepare for GRE test questions can also benefit from working with the expert instructors at Veritas Prep. We do more than teach students how to pass the GRE: We teach them how to excel on the test! Contact our dedicated staff at Veritas Prep today.

Want to jump-start your GRE preparation? Register to attend one of our upcoming free online GRE Strategy Sessions or check out our variety of GRE Course and Private Tutoring options. And as always, be sure to follow us on Facebook, YouTube, Google+ and Twitter!

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The Holistic Approach to Absolute Values – Part III [#permalink]
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FROM Veritas Prep Blog: The Holistic Approach to Absolute Values – Part III

A while back, we discussed some holistic approaches to answering absolute value questions. Today, we will enhance our understanding of absolute values with some variations that you might see on the GMAT.

Instead of looking at how to solve equations, like we did in our previous post, we will look at how to solve inequalities using the same concept.

A quick review:

  • |x| = The distance of x from 0 on the number line. For example, if |x| = 4, x is 4 away from 0. So x can be 4 or -4.
  • |x – 1| = The distance of x from 1 on the number line. For example, if |x – 1| = 4, x is 4 away from 1. so x can be 5 or  -3.
  • |x| + |x – 1| = The sum of distance of x from 0 and distance of x from 1 on the number line. for example, if x = 5, the distance of x from 0 is 5 and the distance of x from 1 is 4. The sum of the distances is 5 + 4 = 9. So |x| + |x – 1| = 5 + 4 = 9.
Let’s move ahead now and see how we can use these concepts to solve inequalities:

For how many integer values of x, is |x – 3| + |x + 1| + |x| < 10?

(A) 0

(B) 2

(C) 4

(D) 6

(E) Infinite

In the previous post, we saw the a similar question, except it involved an equation rather than an inequality. For that problem, we found that the two points where the total distance is equal to 10 are -2.667 and 4:



 

 

 

What will be the total distance at any value of x between these two points?

Say, x = 0

|x – 3| + |x + 1| + |x|

= 3 + 1 + 0

= 4

Say, x = 3

|x – 3| + |x + 1| + |x|

0 + 4 + 3

= 7

In both cases, we see that the total distance covered is less than 10. Note that the minimum distance covered will be 4 at x = 0 (discussed in the previous post) so by moving to the right of 0 or to the left of 0 on the number line, we get to the points where the distance increases to 10. So for every point in between, the total distance will be less than 10 (the entire red region).

Hence, at integer points x = -2, -1, 0, 1, 2 and 3 (which are all between -2.667 and 4), the total distance will be less than 10. The total distance will be less than 10 for all non-integer points lying between -2.667 and 4 too, but the question only asks for the integer values, so that is all we need to focus on. (Of course, there are infinite non-integer points between any two distinct points on the number line.) Hence, the answer will be 6 points, or D.

Along the same lines, consider a slight variation of this question:

For how many integer values of x, is |x – 3| + |x + 1| + |x| > 10?

(A) 0

(B) 2

(C) 4

(D) 6

(E) Infinite

What will the answer be here? We hope you immediately jumped to answer choice E – for every integer value of x to the right of 4 or to the left of -2.667, the total distance will be more than 10 (the blue regions). So there will be infinite such integer points (all integers greater than 4 or less than -2.667). Thus, the answer is E.

We hope this logic is clear. We will look at some other variations of this concept next week!

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

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Find the Best Math Tutoring Program for You [#permalink]
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FROM Veritas Prep Blog: Find the Best Math Tutoring Program for You

When you want to sharpen your math skills, getting a math tutor can set you on the path to achieving that goal. Perhaps you’re encountering some challenges in your AP math course at school and want a tutor to help you address those issues. Or maybe you’re studying for the math section on the SAT or preparing to take the AP math test and could use some extra guidance. Whatever your reasons, hiring a math tutor can make all the difference in your performance.

Take a look at some of the qualities shared by the best math tutoring programs available today and you’ll see why it’s a good idea to work with a tutor yourself:

Experienced Instructors

If you want to improve your skills in math, you have to learn from an instructor with both expertise and experience. Your instructor must be familiar with whatever type of math you are focusing on, and they should also know plenty of strategies that will provide you with ways to overcome the challenges you’re having in math.

For instance, an experienced instructor can look at the way you solve an algebra problem and then give you suggestions on how to make the problem more manageable. You may find that making one small change in the way you solve an algebra problem can have a big effect on your level of accuracy.

The best math tutors use their experience to benefit you. Our instructors have over-the-top qualifications when it comes to helping students. For example, our SAT instructors scored in the 99th percentile on the exam. We only hire tutors who are genuine experts in the subject they are teaching.

Helpful Study Resources

Another quality possessed by effective tutoring programs is a supply of helpful study materials and resources. Your tutor should have teaching aids and practice exercises that contribute to your understanding of a topic or skill. In addition, the study materials should suit your learning style. For instance, if you are a visual learner, then your tutor should include graphics, colorful charts, and diagrams in the session. If you don’t know your learning style, your tutor can help you to determine what it is. Tutors in the best math tutoring programs know how to conduct sessions that make the most efficient use of your time and effort.

A Selection of Tutoring Options

The best tutoring program for you is one that fits neatly into your weekly schedule. At Veritas Prep, we tutor students online and in person. Some students like to sit down face to face in the same room with their tutor, while others prefer to choose their own environment and work with a tutor via the Internet. The choice is up to you. We know that students like you are busy with classes, family activities, clubs, and other obligations. That’s why we make it easy for you to get the help you need in math while maintaining your typical schedule.

Flexible Tutoring Sessions

Undoubtedly, flexibility is one of the main qualities of the best math tutoring programs. You may sit down for one tutoring session with a list of questions about a lecture given by your math teacher at school. Your tutor can clarity some of the terms and concepts outlined by your teacher so you better understand the material. By the time the session is complete, you should have satisfactory answers to all of your questions.

During your next session, you might show your tutor a homework assignment and ask for help on some of the most puzzling problems. Your tutor can partner with you to figure out how to approach each of the problems in an effective way. Flexible tutoring allows you to get the specific assistance you need at the time you need it.

If you want to find the best math tutor, then look no further than Veritas Prep. We have a team of experienced instructors and a proven program that gives you the help you need with any type of mathematics. We invite you to look at our FAQ page to find quick answers regarding our services. You’ll see even more information on how we find and hire the best math tutors in the business! Contact Veritas Prep today and get started with our first-rate math tutoring program.

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How to Be a Superhero in Your MBA Applications [#permalink]
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FROM Veritas Prep Blog: How to Be a Superhero in Your MBA Applications

With their extraordinary genes, powers, and privileges, you may wonder what lessons you can learn from popular superhero characters, such as Batman or Spiderman, to help with your MBA applications. Apart from having superhuman abilities, these characters effectively use their more human qualities to connect with their audiences, both in comic books and in movies. Just like them, your aim is to win over your audience – the Admissions Committee and interviewers at your target MBA programs.

Let’s look at the basic formula superhero movies have used to win the approval of audiences worldwide and how you can use it to your advantage in crafting your MBA applications:

Create Interest with Extraordinary Powers

Draw the Admissions Committee in by presenting them with your unique strengths and accomplishments. The first things that come to mind when we think of superheroes is their amazing powers or feats. Thus, these heroes become associated with their unique abilities. For example, Superman is marketed as someone who is “faster than a speeding bullet, more powerful than a locomotive, and able to leap tall buildings in a single bound.”

Not only are these powers described in an attention-grabbing manner, but they are also written about in a very visual and easy-to-imagine way. This strategy should be helpful in writing about the impact you have made with your own accomplishments and responsibilities.

Show Your Vulnerable Side 

From viewing Superman’s weakness to Kryptonite to seeing Spiderman’s difficulty juggling his responsibilities as Peter Parker, we as the audience are shown that our heroes are less than perfect – they each have great struggles to overcome. Rather than diminishing them, these weaknesses make them more relatable, prompting us to root for them even more.

As you write your admissions essays, don’t stress that you are not perfect – even superheroes aren’t! Instead, demonstrate your self-awareness by identifying how you can grow further, or acknowledging failures that you have learned from. This will allow you to present yourself as a mature candidate who will benefit from an MBA experience. Just as importantly, it will also present an authentic profile that your audience, the Admissions Committee, will appreciate.

Share Personal Stories

Another important way to fully engage an audience is to share personal stories. Superhero movies and comics do a great job with this by allowing us to know the reasons for each character’s decisions, which helps us understand them on a more human level. For example, Bruce Wayne (Batman) seems to have it all – riches, power, looks, and all the coolest gadgets. However, his characterization doesn’t stop there; we are also clearly shown his motivations for taking the actions that he does.

Sharing why you have chosen your current path will help show the rationale for your post-MBA goals. Even if the path you have taken is not very straightforward, you still want to show that a logical thought process has guided you, and how this logic fits with your desire to attend your target MBA program. Core values and turning points in your personal life are related to your career decisions, thus, sharing these personal stories will help you connect with the Admissions Committee on a deeper level, and allow you to submit an overall memorable application.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! And as always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Written by Edison Cu, a Veritas Prep Head Consultant for INSEAD. You can read more articles by him here.

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How Are GRE Scores Sent to Institutions? [#permalink]
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FROM Veritas Prep Blog: How Are GRE Scores Sent to Institutions?

Naturally, students who are planning to take the GRE want to learn as much as possible about the test. For instance, many students are curious about the scoring system for the GRE. Also, they want to know how to send GRE scores to graduate schools. Learn the details about the scoring system on the GRE. In addition, discover how to send GRE scores to four or more graduate schools.

The Scoring System for the GRE

Before thinking about sending GRE scores to schools, students must learn the basics of the scoring system for the test. The GRE has three parts, including the Verbal Reasoning, Quantitative Reasoning, and Analytical Writing sections. Students can score from 130 to 170 points on both the Verbal Reasoning and Quantitative sections of the exam. These two sections of the test are scored in one-point increments. The scoring range is zero to six for the Analytical Writing portion of the GRE. This section of the test is scored in half-point increments.

What Is On a Student’s Score Report?

The typical GRE score report displays a student’s basic information, including the person’s name, address, phone number, email address, and birth date. It also notes a student’s intended major as well as their test date. The report features the scores a student received on the three sections of the GRE. The officials who offer the GRE send scores to graduate schools about ten to 15 days after a student takes the computer-delivered test. Alternatively, students who take the paper-delivered GRE have their scores sent out to schools six weeks after the test date.

How to Send GRE Scores to Graduate Schools

Students are not responsible for physically sending GRE scores to universities. When students register to take the GRE, they can arrange to have their scores sent to up to four schools of their choice – this arrangement is covered by a student’s test fee. A student’s GRE scores are valid for five years. This is convenient for students if they want to take the GRE but aren’t settled on a definite starting date for graduate school.

The Process of Designating Score Report Recipients

Some students know exactly where they want to send their GRE scores, while others need some time to think about it. The process of designating score report recipients is different depending on how a student takes the GRE. Students who take the computer-delivered GRE must take their list of four schools with them to the test center, but students who opt for the paper-delivered GRE have to specify four graduate schools when they register for the test.

Sending Test Scores to Additional Schools

Some students who take the GRE send scores to more than four graduate schools. Of course, there is a fee for sending out additional score reports. Students can order these reports online or arrange for them by mail or fax. Additional score reports that are requested online are sent out five days after the order is received. Additional reports that are ordered via mail or fax are sent out to schools ten days after the request is made. The ability to send additional score reports is perfect for students who are interested in the programs of several different graduate schools.

Studying for the GRE

Students who take practice tests and then take action to improve in weaker subject areas are likely to perform well on the GRE. Students can also get an advantage on the GRE by allowing themselves several months to prepare. For instance, students who want to learn new vocabulary words for the Verbal Reasoning section have an easier time absorbing unfamiliar words and their definitions in a gradual way.

For the best results, take advantage of the effective GRE prep courses at Veritas Prep. All of our professional instructors achieved high scores on the GRE, so students who study with us are learning tips and strategies from tutors who have practical experience with this challenging exam.

Our instructors at Veritas Prep stand ready to help students who want to excel on the GRE. Our classes are available both online and in person to meet the needs of ambitious students. We give students the confidence they need to showcase their skills on the test. Contact Veritas Prep today and partner with the experts for the GRE!

Want to jump-start your GRE preparation? Register to attend one of our upcoming free online GRE Strategy Sessions or check out our variety of GRE Course and Private Tutoring options. And as always, be sure to follow us on Facebook, YouTube, Google+ and Twitter!

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GMAT Hacks, Tricks, and Tips to Make Studying and Preparing for the GM [#permalink]
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FROM Veritas Prep Blog: GMAT Hacks, Tricks, and Tips to Make Studying and Preparing for the GMAT Simpler

The GMAT measures four general types of knowledge: Verbal, Quantitative, Integrated Reasoning, and Analytical Writing. The entire test takes about three hours and 30 minutes to complete.

Preparing for this important exam may seem like a daunting task, but you can simplify the process with the help of some GMAT tips and tricks.

Use Mnemonics to Learn Vocabulary Words

Making a GMAT cheat sheet complete with mnemonics simplifies the process of learning vocabulary words for the Verbal section. Word pictures can help you to retain the words you’re learning. For instance, suppose you’re trying to learn the word “extricate.” “Extricate” means to free something or someone from a constraint or problem. You may pair the word with a mental picture of a group of people being freed from a stuck elevator by a technician. Creating mnemonics that relate to your life, family, or job can make them all the more memorable.

Look for Vocabulary Words in Context

Studying a GMAT cheat sheet full of words and mnemonics shouldn’t be the end of your vocabulary studies. It’s just as important to be able to recognize those words in context. If you’ve signed up to take the GMAT, there’s a good chance that you already read several business publications, so keep an eye out for the words used within those resources. Reading financial newspapers, magazines, and online articles that contain GMAT vocabulary words helps you become more familiar with them. After a while, you’ll know what the words mean without having to think about them.

Learn the Test Instructions Before Test Day

When you read the instructions for each section before test day arrives, you’ll know what to expect on the actual day. This can make you feel more relaxed about tackling each section. Also, you won’t have to use your test time reading instructions because you will already know what you’re doing.

Always Keep Some Study Materials Close By

When it comes to GMAT tips and strategies, the easiest ones can sometimes be the most effective. Even busy working professionals have free moments throughout the day. It’s a smart idea to use those moments for study and review. For instance, you can work on some practice math problems during a lunch or coffee break. If you have a dentist or doctor’s appointment, you can use virtual flashcards to quiz yourself on GMAT vocabulary words while you’re sitting in the waiting room. Taking a few minutes each day to review can add up to a lot of productive study time by the end of a week.

Set a Timer for Practice Tests

If you’re concerned about completing each section of the GMAT within the allotted number of minutes, one of our favorite GMAT hacks is to try setting a timer as you begin each section of a practice test. If the timer goes off before you’re finished with the section, you may be spending too much time on puzzling problems. Or perhaps you’re taking too much time to read the directions for each section rather than familiarizing yourself with them ahead of time.

Timing your practice tests helps you establish a rhythm that allows you to get through each section with a few minutes to spare for review. At Veritas Prep, we provide you with the opportunity to take a free exam. Taking this practice exam allows you to get a clear picture of what you’ll encounter on test day.

Get Into the Habit of Eliminating Wrong Answer Options

Another very effective GMAT strategy is to eliminate answer options that are clearly incorrect. With the exception of the analytical essay, this can be done on every portion of the test. Taking practice tests gives you the chance to establish this habit. By eliminating obviously incorrect answer options, you are making the most efficient use of your test time. Also, you are making the questions more manageable by giving yourself fewer answers to consider.

Here at Veritas Prep, our GMAT instructors follow a unique curriculum that shows you how to approach every problem on the test. We teach you how to strengthen your higher-order thinking skills so you’ll know how to use them to your advantage on the test. Contact our offices today to take advantage of our in-person prep courses or our private tutoring services. Learn GMAT hacks from professional instructors who’ve mastered the test!

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

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The Patterns to Solve GMAT Questions with Reversed-Digit Numbers – Par [#permalink]
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FROM Veritas Prep Blog: The Patterns to Solve GMAT Questions with Reversed-Digit Numbers – Part II

In an earlier post, I wrote about the GMAT’s tendency to ask questions regarding the number properties of two two-digit numbers whose tens and units digits have been reversed.

The biggest takeaways from that post were:

  • Anytime we add two two-digit numbers whose tens and units digits have been reversed, we will get a multiple of 11.
  • Anytime we take the difference of two two-digit numbers whose tens and units digits have been reversed, we will get a multiple of 9.
For the hardest GMAT questions, we’re typically mixing and matching different types of number properties and strategies, so it can be instructive to see how the above axioms might be incorporated into such problems.

Take this challenging Data Sufficiency question, for instance:

When the digits of two-digit, positive integer M are reversed, the result is the two-digit, positive integer N. If M > N, what is the value of M?

(1) The integer (M –N) has 12 unique factors.

(2) The integer (M –N) is a multiple of 9.

The average test-taker looks at Statement 1, sees that it will be very difficult to simply pick numbers that satisfy this condition, and concludes that this can’t possibly be enough information. Well, the average test-taker also scores in the mid-500’s, so that’s not how we want to think.

First, let’s concede that Statement 1 is a challenging one to evaluate and look at Statement 2 first. Notice that Statement 2 tells us something we already know – as we saw above, anytime you have two two-digit numbers whose tens and units digits are reversed, the difference will be a multiple of 9. If Statement 2 is useless, we can immediately prune our decision tree of possible correct answers. Either Statement 1 alone is sufficient, or the statements together are not sufficient, as Statement 2 will contribute nothing. So right off the bat, the only possible correct answers are A and E.

If we had to guess, and we recognize that the average test-taker would likely conclude that Statement 1 couldn’t be sufficient, we’d want to go in the opposite direction – this question is significantly more difficult (and interesting) if it turns out that Statement 1 gives us considerably more information than it initially seems.

In order to evaluate Statement 1, it’s helpful to understand the following shortcut for how to determine the total number of factors for a given number. Say, for example, that we wished to determine how many factors 1000 has. We could, if we were sufficiently masochistic, simply list them out (1 and 1000, 2 and 500, etc.). But you can see that this process would be very difficult and time-consuming.

Alternatively, we could do the following. First, take the prime factorization of 1000. 1000 = 10^3, so the prime factorization is 2^3 * 5^3. Next, we take the exponent of each prime base and add one to it. Last, we multiply the results. (3+1)*(3+1) = 16, so 1000 has 16 total factors. More abstractly, if your number is x^a * y^b, where x and y are prime numbers, you can find the total number of factors by multiplying (a+1)(b+1).

Now let’s apply this process to Statement 1. Imagine that the difference of M and N comes out to some two-digit number that can be expressed as x^a * y^b. If we have a total of 12 factors, then we know that (a+1)(b+1) = 12. So, for example, it would work if a = 3 and b = 2, as a + 1 = 4 and b + 1 = 3, and 4*3 =12. But it would also work if, say, a = 5 and b = 1, as a + 1 = 6 and b + 1 = 2, and 6*2 = 12. So, let’s list out some numbers that have 12 factors:

  • 2^3 * 3^2 (3+1)(2+1) = 12
  • 2^5 * 3^1 (5+1)(1+1) = 12
  • 2^2 * 3^3 (2+1)(3+1) = 12
Now remember that M – N, by definition, is a multiple of 9, which will have at least 3^2 in its prime factorization. So the second option is no longer a candidate, as its prime factorization contains only one 3. Also recall that we’re talking about the difference of two two-digit numbers. 2^2 * 3^3 is 4*27 or 108. But the difference between two positive two-digit numbers can’t possibly be a three-digit number! So the third option is also out.

The only possibility is the first option. If we know that the difference of the two numbers is 2^3 * 3^2, or 8*9 = 72, then only 91 and 19 will work. So Statement 1 alone is sufficient to answer this question, and the answer is A.

Algebraically, if M = 10x + y, then N = 10y + x.

M – N = (10x + y) – (10y + x) = 9x – 9y = 9(x – y).

If 9(x – y) = 72, then x – y = 8. If the difference between the tens and units digits is 8, the numbers must be 91 and 19.

Takeaway: the hardest GMAT questions will require a balance of strategy and knowledge. In this case, we want to remember the following:

  • Anytime we take the difference of two two-digit numbers whose tens and units digits have been reversed, we will get a multiple of 9.
  • If one statement is easier to evaluate than the other, tackle the easier one first. If it’s the case that one statement gives you absolutely nothing, and the other is complex, there is a general tendency for the complex statement alone to be sufficient.
  • For the number x^a * y^b, where x and y are prime numbers, you can find the total number of factors by multiplying (a+1)(b+1).
Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on FacebookYouTubeGoogle+ and Twitter!

By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can find more articles written by him here.

The post The Patterns to Solve GMAT Questions with Reversed-Digit Numbers – Part II appeared first on Veritas Prep Blog.
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Is Online English Tutoring Right for You? [#permalink]
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FROM Veritas Prep Blog: Is Online English Tutoring Right for You?

Are you thinking of getting an English tutor? Online tutoring is an option chosen by many students who need a little bit of help in the subject of English. But how do you know if online English tutoring is the right choice for you? One way to get an answer to this question is to look at some of the unique features of online tutoring to determine whether it would enhance your learning experience.

A Nontraditional Learning Environment

When you work with an online English tutor, you can learn lessons in a nontraditional environment. For example, you may decide to reserve a study room at the local library for your online tutoring sessions. Alternatively, you may complete your sessions in a quiet café or in a room at home. If you’re comfortable receiving instruction outside of a traditional classroom, then working with an English tutor online may be the right choice for you.

If you want to practice for the Reading and Writing sections on the SAT, prep for the SAT subject test in Literature, or improve your grades in an AP English class, Veritas Prep has you covered! We can even prepare you for an AP English test. Our highly qualified instructors are experts in the subjects they teach, so we can pair you with an online English tutor who can help you achieve your goals in the subject of English.

One-on-One Instruction

Online English tutors are helpful to students who have trouble absorbing lessons due to the distractions found in a traditional classroom. In today’s high school classrooms, it’s not uncommon to see students checking their email, texting, and otherwise being distracted during a class period. If you’re a student who learns better one-on-one in an environment with few distractions, then you would likely find success studying online with an English tutor.

Choosing Your Own Instruction Schedule

Flexibility is one of the most unique features of online learning. Chances are good that you’re a busy high school student who participates in many clubs and organizations. You also have to dedicate time to completing school projects and homework assignments. Consequently, you may not be able to commit to meeting an English tutor in a particular place at a specific time each week. At Veritas Prep, we make it easy for you to get high-quality English tutoring at a time that’s convenient for you. If you’re a student who loves the idea of having control over your tutoring schedule, online learning may be just what you’re looking for.

Using Technology During Each Session

Of course, if you study online with an English tutor, you’re already making great use of technology. An experienced online tutor uses several technological resources to enhance your English lessons. For instance, if you prepare for the Reading section of the SAT with an instructor at Veritas Prep, you get access to an interactive course syllabus and practice tests. In addition, if you have any questions outside of your tutoring session, you can use email to contact our English tutors. Online accessibility is one of the many things that make Veritas Prep the go-to choice of ambitious students in need of academic assistance. If you learn better with the help of technology, working with an online English instructor may be the most appropriate step for you.

An Additional Source of Support

While an online instructor is providing you with assistance with your English lessons, they are also giving you encouragement and support. This support can be invaluable, especially if you encounter a particularly difficult topic in your English studies. Often, a tutor can supply you with the push you need to persist with your studies until you fully understand a topic or lesson. The tutors at Veritas Prep provide you with strategies that can help you to learn more vocabulary words, easily identify main ideas, spot significant details, and master other skills necessary in the study of English.

If you’re ready to get the boost that comes from working with an experienced online English instructor, we can pair you with the right person at Veritas Prep. Our experienced instructors are capable of guiding you through the toughest English courses at your high school. Contact us to set up your first online tutoring session today!

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MBA Interviews: How to Answer the “Where Else Are You Applying?” Quest [#permalink]
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FROM Veritas Prep Blog: MBA Interviews: How to Answer the “Where Else Are You Applying?” Question

Undertaking the interview process for business school applications can be a nerve-wracking experience for many MBA candidates. Along with the excitement of having the opportunity to make your case to the representative of a school in person, comes the anxiety of potentially saying the wrong thing.

For the most part, as an interviewee, you will know what is coming during the interview – most interviewers will ask you about your career progression, life experiences, career goals, and interest in pursuing an MBA at their school – but one specific oddball question often sneaks in for many programs every year. What other schools are you applying to?

This questions presents a confusing challenge to interviewees, and figuring out how to approach this seemingly benign question tends to cause more anxiety than comfort. Let’s explore a few tips on how to best address the question of where else you are applying:

1) Answer the Question

This is not the time to be philosophical about your opposition to sharing this information with the Admissions Committee or the moral conundrum this question may put you in. The more of an issue you seem to have with this question, the more trouble you will be in with your interviewer. Answer the question directly and prepare to move on to the next one.

2) Answer Strategically

Do not feel like you have to list out every school you plan to apply to when this question is posed. Be strategic here, and only share the schools that align with the applicant narrative you are pushing. Out of the schools you are applying to, I would say pick the schools that relate most to the one you are interviewing with, and avoid bringing up any unrelated schools you may also be applying to. The Admissions Committee will be assessing the consistency of the narrative you are spinning and your thought process. If you are telling them you want a small school experience at Tuck, then don’t tell them you plan to apply to HBS, otherwise everything else you have said will ring hollow. So just make sure you are being consistent and that your overall story makes sense.

3) Answer Concisely:

There is nothing worse than a candidate rambling through a long-winded response during an interview, and this gets even worse when a tough question is involved.  Avoid the potential for the perception of a disingenuous response by keeping it tight. Being concise is your friend here, and limits the opportunity for any potentially misplaced words.

Ultimately, this question is not a major source of information for the interviewer and only really trips up the anxious, nervous and unprepared. So make sure you are none of those three descriptors and use the above tips to knock this simple question out of the park!

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on FacebookYouTubeGoogle+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You can read more articles by him here.

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The Holistic Approach to Absolute Values – Part IV [#permalink]
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FROM Veritas Prep Blog: The Holistic Approach to Absolute Values – Part IV

Last week, we looked at some absolute value questions involving inequalities. Today, we’ll continue this discussion by adding some more complications to our questions. Consider the question: What is the minimum value of the expression |x – 3| + |x + 1| + |x|? Technically, |x – 3| + |x + 1| + |x| is the sum of “the distance of x from 3,” “the distance of x from -1” and “the distance of x from 0.” To make solving such questions simpler, we’ll often use a parallel situation:

Imagine that there are 3 friends with houses at points -1, 0 and 3 in a straight line. They decide to meet at the point x.

  • |x – 3| will be the distance covered by the friend at 3 to reach x.
  • |x + 1| will be the distance covered by the friend at -1 to reach x.
  • |x| will be the distance covered by the friend at 0 to reach x.
So, the total distance the friends will cover to meet at x will be |x – 3| + |x + 1| + |x|.

Now we can choose to minimize this total distance, bring it to some particular value or make it more or less than some particular value.

If we want to minimize the total distance, we just make the friends meet at the second guy’s house, i.e. at the point 0. The friend at 3 and the friend at -1 need to travel 4 units total to meet anyway, so there’s no point in making the guy at 0 travel any distance at all. So the minimum total distance would be 4, which would then be the minimum value of |x – 3| + |x + 1| + |x|. This minimum value is given by the expression at x = 0.

With this in mind, when we move to the right or to the left of x = 0, the total distance will increase and, hence, the value of the expression |x – 3| + |x + 1| + |x| will also increase.

Thereafter, it is easy to solve for |x – 3| + |x + 1| + |x| = 10 or |x – 3| + |x + 1| + |x| < 10, etc., as seen in our previous post.

Today, let’s look at how to solve a more advanced GMAT question using the same logic:

For how many integer values of x, is |x – 5| + |x + 1| + |x|  + |x – 7| < 15?

(A) 0

(B) 2

(C) 4

(D) 6

(E) Infinite

In our parallel situation of friends and houses, we now have 4 friends with houses at points -1, 0, 5 and 7.

The friends at -1 and 7 are 8 units apart, so they will need to cover at least this total distance together to meet. It doesn’t matter where they meet between -1 and 7 (inclusive), they will need to cover exactly 8 units.

The friends at 0 and 5 will need to travel a minimum distance of 5 to meet. They can meet anywhere between 0 and 5 (inclusive) and the distance they will cover will still be 5.

So, all four friends can meet anywhere between 0 and 5 (inclusive) and the total distance covered will be 8 + 5 = 13. This would be the minimum total distance, and hence, the minimum value of the expression |x – 5| + |x + 1| + |x|  + |x – 7|.

When we move to the left of 0 or to the right of 5, the total distance covered will be more than 13. At any point between -1 and 7, the total distance covered by the friends at -1 and 7 will be only 8. When we move 1 unit to the left of 0 and reach -1, the total distance covered by the friends at 0 and 5 will be 1 + 6 = 7. So to meet at -1, the total distance traveled by all friends together will be 8 + 7 = 15.

Similarly, when we move 1 unit to the right of 5 and reach 6, the total distance covered by the four friends will be again 8 + 7 = 15. So at points x = -1 and x = 6, the value of the expression will be 15. Between these two points (excluding the points themselves), the value of the expression will be less than 15.

So now we know -1 < x < 6. With these parameters, x can take 6 integer values: 0, 1, 2, 3, 4, 5. Therefore, the answer is D.

Note that when we had 3 points on the number line, the minimum total distance was found at the second point. Now when we have 4 points on the number line, the minimum total distance has been found to be in the range between second and third points.

Let’s look at another question:

For how many integer values of x, is |2x – 5| + |x + 1| + |x| < 10?

(A) 1

(B) 2

(C) 4

(D) 5

(E) Infinite

|2x – 5| + |x + 1| + |x| < 10

2*|x – 5/2| + |x + 1| + |x| < 10

In this sum, now the distance from 5/2 is added twice.

In our parallel situation, this is equivalent to two friends living at 5/2, one living at 0 and one living at -1. Now note that the expression may not take the minimum value of x = 0 because there are 2 people who will need to travel from 5/2.

We have four friends in all, so we can expect to get a range in which we will get the minimum value of the expression. The second and third people are at 0 and 5/2, respectively.

The total distance at x = 0 will be 1 + 2*(5/2) = 6. The total distance at x = 5/2 will be 7/2 + 5/2 = 6.

So if we move to the left of 0 or to the right of 5/2, the total distance will increase. If we move 1 unit to the right of 5/2 and reach 7/2, the total distance covered by the four friends will be 9/2 + 7/2 + 2 = 10. If we move 1 unit to the left of 0 and reach -1, the total distance covered by the four friends will be 0 + 1 + 2*(7/2) = 8. Now all four friends are at -1. To cover a distance of another 2, they should move another 0.5 units to the left of -1 to reach -1.5.

Now the total distance covered by the four friends will be 0.5 + 1.5 + 2*4 = 10, so the total distance when x lies between the points -1.5 and 3.5 (excluding the points themselves) will be less than 10.

Now we know -1.5 < x < 3.5. With these parameters, x can take 5 integer values: -1, 0, 1, 2 and 3. Therefore, the answer is D.

Now use these concepts to solve the following question: For how many integer values of x, is |3x – 3| + |2x + 8| < 15?

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

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