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FROM Veritas Prep Blog: The Online GRE Math Study Guide: Help and Practice Tips for the GRE Math Section 
The Graduate Record Exam (GRE) contains three parts; the Verbal Reasoning, Quantitative, and Analytical Writing sections. The Quantitative section of the GRE tests students on a variety of math skills. Many students contact our staff at Veritas Prep when they want a little help preparing for this section of the test. Our knowledgeable instructors use firstrate study resources to guide students through the process of preparing for the Quantitative, as well as the other sections on the test. Check out this GRE math study guide for tips that can simplify questions in the Quantitative or math section: Take Practice Exams When it comes to GRE math practice, online exams can prove very useful to students. Taking a practice test lets a student know what types of problems to expect on the actual test, and the results of a practice test reveal what a student needs to work on. Students who have this information are better able to make efficient use of their study time. Our instructors review practice tests with students and suggest specific ways that they can improve on various skills. Our Veritas Prep instructors partner with their students to provide the best GRE math prep available! Plugging in the Numbers One of the easiest strategies that students can use when tackling the Quantitative section of the GRE is to approach a problem starting with the answer options. For instance, an algebra question may come in the form of an equation that asks a student to find the value of X. A student can plug each of the answer options into the equation in place of X. The number that completes the equation is the correct answer option. This strategy proves especially helpful when a student works a problem in the traditional way and finds that his or her answer is not one of the answer options. Eliminating Answer Options Students looking for GRE math help should endeavor to simplify each problem as much as possible. For example, after looking at a question and considering all of the multiple choice answer options, a student may notice that one or two of the answer options are obviously incorrect. The student can cross out or eliminate these answer options. This leaves the student with fewer options to consider and makes the problem more manageable. This testtaking technique can also be used on multiple choice questions in the Verbal Reasoning section of the GRE. Getting Into the Habit of Using Scrap Paper Students should get into the habit of writing out all of the steps of a math problem on a sheet of scrap paper. This is one of those GRE math tips that many students are aware of, but decide not to put into practice; however, this tip can save a student a lot of time if there is a mistake somewhere in a problem. If a student’s answer is not displayed in the list of answer options, he or she can refer to the scrap paper and review the various steps of the problem. In addition, students should use scrap paper for drawing shapes referred to in a math question. Seeing a shape can sometimes prompt a student to figure out an answer more quickly than trying to visualize the shape. Reviewing High School Math Problems For students who want more GRE math practice, online exercises for high school students are an option. Many of the geometry and algebra skills tested in the Quantitative section are skills students learned in high school. In addition to going online to complete practice math questions, a student can look in traditional math textbooks designed for high school students. This sort of prep helps students become familiar with working the steps of an algebra equation or successfully completing a geometry problem. Our professional instructors offer guidance and encouragement to students as they work their way through practice problems. We provide students with individualized help, so they can see great improvement as test day approaches. Finally, students interested in learning the details about our services can look at our FAQ page to find helpful answers. We offer online courses that are convenient for individuals with busy school or work schedules. Veritas Prep has the best GRE math prep courses for students who want to enjoy success on the GRE! Want to jumpstart 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! The post The Online GRE Math Study Guide: Help and Practice Tips for the GRE Math Section appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: 3 Ways to Write a Successful Thank You Note 
The University of Michigan’s Ross School of Business recently hosted hundreds of prospective students through their Up Close Diversity Weekend and Women in Leadership Conference events. I spoke with a handful of excited prospective students and most of them remembered my name and found ways to email me thank you notes, which was great – definitely write thank you emails! But there are ways to write and not to write these important emails, so listen up. Whenever you meet a school representative at an event – whether that be an admissions officer, alumni, or a current student – you should always send them a note to say thank you. It is a good idea to get in the habit of doing this now because once you get to business school, you will also need to send thank you notes after conferences, corporate presentations, coffee chats, etc., and if you can get the hang of crafting these quickly now, it will only save you time later. Here are a few tips to writing a successful thank you note: Do write meaningful thank you notes. The people you meet are likely meeting dozens of other prospective students too, so be sincere and authentic in your communications. Don’t say thank you because you have to, but make the content of your email somewhat substantial. Make sure to ask good questions and get to know the people you’re chatting with so you can have something to write about in your follow up email. Do include the details of how you met. Because they are meeting so many others, include how and where you met, and a little bit about what you talked about. You can do this by saying something along the lines of, “It was so great to meet you during dinner at the Up Close Weekend and hear more about your project work with the Business Impact Group.” It is helpful to include this so that they remember who you are and can match the name from your email to the face they spoke with at the event. Do ask a follow up question, but only if your conversation prompted one. If not, don’t feel compelled to ask anything. Sometimes it is best to end the email with saying you’ll be in touch, rather than ending on a question. If you had a conversation about a certain club on campus that sounded interesting to you but you don’t remember the name, however, feel free to ask and see if you can get in touch with someone from that club. For example, a question such as, “You mentioned the new club on campus that works on consultant teams with social enterprises. I’d love to learn more about that. Can you please remind me of the name, and possibly put me in touch with someone involved with that club?” would be appropriate to ask in your thank you email and show that you were truly interested in the conversation you had with that person. Follow these tips and you’ll be able to quickly write a successful thank you email that may make a big impact on the way you are viewed by a school. Stay tuned for our next article, 3 Things to Avoid When Crafting a Successful Thank You Email. Applying to business school? Call us at 18009257737 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 is a Veritas Prep consultant for the Ross School of Business at the University of Michigan. You can read more articles by her here. The post 3 Ways to Write a Successful Thank You Note appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: GMAT Integrated Reasoning Practice: Sample Questions and Prep Tips 
On one section of the GMAT, you’ll encounter Integrated Reasoning questions. These questions test your ability to solve problems using several forms of data. Though you’ve found plenty of advice on studying for the GMAT, you may feel a little concerned about these particular questions. Consider some information about the nature of these questions, then learn how to prep for them with our help. Take a Timed Practice Test One way you can get GMAT Integrated Reasoning practice is to take a timed practice test. When you take the entire test or a set of GMAT Integrated Reasoning practice questions, you get an idea of what to expect on test day. More importantly, your results will reveal which skills need improvement. Timing yourself is an important factor when taking a practice test. You get just 30 minutes to complete the 12 Integrated Reasoning questions on the GMAT. Establishing a reasonable testing pace can lower your stress level and help you to finish all of the questions in the allotted time. At Veritas Prep, we have a free GMAT test that you can take advantage of for this purpose. Get Into the Mindset of a Business Executive Taking the GMAT is one of the steps necessary on your path to business school, so it makes perfect sense that the GMAT gauges your skills in business. One of the best prep tips you can follow is to complete all GMAT Integrated Reasoning sample questions with the mindset of a business executive. Think of the questions as reallife scenarios that you will encounter in your business career. Taking this approach allows you to best highlight your skills to GMAT scorers. Become Familiar With the Question Formats As you tackle a set of GMAT Integrated Reasoning sample questions, you’ll see that there are a few different question formats – Graphics Interpretation, TwoPart Analysis, MultiSource Reasoning, and Table Analysis are the different types of questions on the GMAT. The Graphics Interpretation questions feature a chart, graph, or diagram. For instance, you may see a question that features a bar chart that asks you to answer two questions based on the data in the chart. Other graphics you may see include scatterplots, pie charts, bubble charts, and line charts. TwoPart Analysis problems involve a chart with three columns of data and accompanying questions. One tip to remember about these questions is that you have to answer the first question presented before you tackle the second one because the answers will work together in some way. MultiSource Reasoning questions contain a lot of data. These questions test your ability to combine the data contained in different graphs, formulas, and diagrams to arrive at the correct answer choice. Table Analysis questions ask you to look at a table that may contain four or more columns of data. You have to examine this data closely to answer the questions. Practice Working With Different Types of Graphs and Diagrams Effective GMAT Integrated Reasoning practice involves learning the details about the different types of graphs, charts, and diagrams featured on the test. Financial magazines and newspapers are great resources for different graphics that you may see on the GMAT. Take some time to make sure you understand the purpose behind various graphs and charts so you feel at ease with them on test day. Work With a Capable Tutor When studying for the section on Integrated Reasoning, GMAT practice questions can be very useful. Another way to boost your preparation for this section is to partner with an experienced tutor. The instructors at Veritas Prep follow a thorough GMAT curriculum as they prep you for Integrated Reasoning questions as well as the other questions on the exam. We provide you with proven testtaking strategies and show you how to showcase what you know on the GMAT. With our guidance, you can move through each section of the test with confidence. The professional tutors at Veritas Prep have the skills and knowledge to prepare you for the section on Integrated Reasoning. GMAT questions in all of the sections are easier to navigate after working through our unique GMAT curriculum. We offer both online and inperson courses, so you can choose the option that best suits your schedule. Contact our offices today and get firstrate prep for the GMAT! Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on Facebook, YouTube, Google+, and Twitter! The post GMAT Integrated Reasoning Practice: Sample Questions and Prep Tips appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: 3 Things to Avoid When Crafting a Thank You Note 
Knowing how to write a great thank you note will really come in handy during your business school journey – you’ll send them to recommenders to thank them for writing your letters of recommendation, to school representatives you encounter during campus visits, and to company representatives you meet during corporate presentations while at school. There are definitely some things you should avoid doing, however, when crafting these notes. (Before diving into what not to do, be sure to take a look at Part 1 of this lesson: 3 Ways to Write a Successful Thank You Note.) Do not copy and paste thank you emails and send them to multiple people. This should be a given, but unfortunately, I don’t think it is. When you copy and paste, the format of your email sometimes gets messed up, but you won’t realize it. Only the reader will notice, and it just looks tacky if the only thing you changed is the recipient’s name. This also goes back to authenticity – it’s hard to create an authentic email if you end up sending the same message to multiple people. Do not add people on LinkedIn. This is especially true for admissions officers (and corporate recruiters once you start interviewing for internships and jobs). Admissions officers do not want to be connected to thousands of prospective students who they may or may not remember, and who may or may not end up at their school. If you have a really great conversation with an alumnus or a current student, feel free to ask them in person if it is alright to add them on LinkedIn. Chances are they will say yes, but they will appreciate the gesture before you just go home, find them on the internet, and add them into your network because you think they have something to offer you. Do not freak out if they don’t respond to you. The people you are meeting are incredibly busy. Put yourself in their shoes – if you met them on the road, it is very likely that they have other events and cities that they are traveling to before going home to get back to their work and catch up on everything that happened since they left. Next time you go to a recruiting event, keep in mind the conversations you are having and make sure to follow these tips as you write those thank you emails. Good luck in the admissions process! Applying to business school? Call us at 18009257737 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 is a Veritas Prep consultant for the Ross School of Business at the University of Michigan. You can read more articles by her here. The post 3 Things to Avoid When Crafting a Thank You Note appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Investing in Success: The Best InPerson or Online GMAT Tutors Can Make a Difference 
Making sure that you’re ready to take the GMAT requires study, time, and effort. Earning a high score on the GMAT can help to impress admissions officials at preferred business schools. One way to make the studying process easier is to work with a private GMAT tutor. A tutor can help you prep for the test in a variety of ways. Naturally, you want to find the tutor who can be the most help to you. Discover some of the qualities to look for when there’s a GMAT tutor needed to complete your study plan. Knowledge of All Aspects of the GMATThe best private GMAT tutor has more than just general advice regarding the GMAT. The person has thorough knowledge of the exam and its contents. There are several parts to the GMAT, including the Verbal, Quantitative, Integrated Reasoning, and Analytical Writing sections. A qualified tutor will have plenty of tips to share that can help you to navigate all of the sections on the GMAT. Plus, an experienced tutor will be able to evaluate the results of your practice GMAT to determine where you need to focus most of your study efforts. This puts the element of efficiency into your test prep. The GMAT instructors at Veritas Prep achieved scores on the exam that placed them in the 99th percentile, so if you work with a Veritas Prep tutor, you know you’re studying with someone who has practical experience with the exam. Our tutors are experts at describing the subtle points of the GMAT to their students. Access to Quality Study ResourcesIf you want to thoroughly prepare for the GMAT, you must use quality study materials. At Veritas Prep, we have a GMAT curriculum that guides you through each section of the test. Your instructor will show you the types of questions on the test and reveal proven strategies you can use to answer them correctly. Of course, our curriculum teaches you the facts you need to know for the test. But just as importantly, we show you how to apply those facts to the questions on the exam. We do this in an effort to help you think like a business executive as you complete the GMAT. Private tutoring services from Veritas Prep give you the tools you need to perform your best on the exam. Selecting Your Method of LearningThe best GMAT tutors can offer you several options when it comes to preparing for the exam. Perhaps you work fulltime as a business professional. You want to prepare for the GMAT but don’t have the time to attend traditional courses. In that case, you should search for an online GMAT tutor. As a result, you can prep for the GMAT without disrupting your busy work schedule. At Veritas Prep, we provide you with the option of online tutoring as well as inperson classes. We recognize that flexibility is important when it comes to preparing for the GMAT, and we want you to get the instruction you need to earn a high score on this important test. An Encouraging InstructorNaturally, when you take advantage of GMAT private tutoring services, you will learn information you need to know for the test. But a tutor should also take the time to encourage you as you progress in your studies. It’s likely that you’ll face some stumbling blocks as you prepare for the different sections of the GMAT. A good instructor must be ready with encouraging words when you’re trying to master difficult skills. Encouraging words from a tutor can give you the push you need to conquer especially puzzling questions on the test. The understanding tutors at Veritas Prep have been through preparation for the GMAT as well as the actual test, so we understand the tremendous effort it takes to master all of its sections. If you want to partner with the best GMAT tutor as you prep for the test, we have you covered at Veritas Prep! When you sign up to study for the GMAT with Veritas Prep, you are investing in your own success. Give us a call or write us an email today to let us know when you want to start gearing up for excellence on the GMAT! Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on Facebook, YouTube, Google+, and Twitter! The post Investing in Success: The Best InPerson or Online GMAT Tutors Can Make a Difference appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: 3 Formats for GMAT Inequalities Questions You Need to Know 
As if solving inequalities wasn’t already hard enough, sometimes the way a GMAT question is framed will make us wonder which answer option to choose, even after we have already solved solved the problem. Let’s look at three different question formats today to understand the difference between them:
If x/3 + 1 < 2, which of the following must be true? (A) x > 0 (B) x < 8 (C) x > 4 (D) 0 < x < 3 (E) None of the above We have two linked inequalities here. One is x/3 + 1 < 2 and the other is the correct answer choice. We need to think about how the two are related. We are given that x/3 + 1 < 2. So we know that x satisfies this inequality. That will give us the universe which is relevant to us. x will take one of those values only. So let’s solve this inequality. (We will not focus on how to solve the inequality in this post – it has already been discussed here. We will just quickly show the steps.) x/3 – 1 < 2 (1/3) * x – 3 < 2 x – 3 < 6 The distance of x from 3 is less than 6, so 3 < x < 9. Now we know that every value that x can take will lie within this range. The question now becomes: what must be true for each of these values of x? Let’s assess each of our answer options with this question: (A) x > 0 Will each of the values of x be positive? No – x could be a negative number greater than 3, such as 2. (B) x < 8 Will each of the values of x be less than 8? No – x could be a number between 8 and 9, such as 8.5 (C) x > 4 Will each of the values of x be more than 4? Yes! x will take values ranging from 3 to 9, and each of the values within that range will be greater than 4. So this must be true. (D) 0 < x < 3 Will each of these values be between 0 and 3. No – since x can take any of the values between 3 and 9, not all of these will be just between 0 and 3. Therefore, the answer is C (we don’t even need to evaluate answer choice E since C is true). Case 2: Could Be True If −1 < x < 5, which is the following could be true? (A) 2x > 10 (B) x > 17/3 (C) x^2 > 27 (D) 3x + x^2 < −2 (E) 2x – x^2 < 0 Again, we have two linked inequalities, but here the relation between them will be a bit different. One of the inequalities is −1 < x < 5 and the other will be the correct answer choice. We are given that 1 < x < 5, so x lies between 1 and 5. We need an answer choice that “could be true”. This means only some of the values between 1 and 5 should satisfy the condition set by the correct answer choice – all of the values need not satisfy. Let’s evaluate our answer options: (A) 2x > 10 x > 5 No values between 1 and 5 will be greater than 5, so this cannot be true. (B) x > 17/3 x > 5.67 No values between 1 and 5 will be greater than 5.67, so this cannot be true. (C) x^2 > 27 x^2 – 27 > 0 x > 3*√(3) or x < 3*√(3) √(3) is about 1.73 so 3*1.73 = 5.19. No value of x will be greater than 5.19. Also, 3*1.73 will be 5.19 and no value of x will be less than that. So this cannot be true. (Details on how to solve such inequalities are discussed here.) (D) 3x + x^2 < −2 x^2 + 3x + 2 < 0 (x + 1)(x + 2) < 0 2 < x < 1 No values of x will lie between 2 and 1, so this also cannot be true. (E) 2x – x^2 < 0 x * (x – 2) > 0 x > 2 or x < 0 If 1 < x < 5, then x could lie between 1 and 0 (x < 0 is possible) or between 2 and 5 (x > 2 is possible). Therefore, the correct answer is E. Case 3: Complete Range Which of the following represents the complete range of x over which x^3 – 4x^5 < 0? (A) 0 < x < ½ (B) x > ½ (C) ½ < x < 0 or ½ < x (D) x < ½ or 0 < x < ½ (E) x < ½ or x > 0 We have two linked inequalities, but the relation between them will be a bit different again. One of the inequalities is x^3 – 4x^5 < 0 and the other will be the correct answer choice. We are given that x^3 – 4x^5 < 0. This inequality can be solved to: x^3 ( 1 – 4x^2) < 0 x^3*(2x + 1)*(2x – 1) > 0 x > 1/2 or 1/2 < x < 0 This is our universe of the values of x. It is given that all values of x lie in this range. Here, the question asks us the complete range of x. So we need to look for exactly this range. This is given in answer choice C, and therefore C is our answer. We hope these practice problems will help you become able to distinguish between the three cases now. Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on Facebook, YouTube, Google+, 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! The post 3 Formats for GMAT Inequalities Questions You Need to Know appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: How to Answer GMAT Sentence Correction Questions with Inverted Structures 
One of the challenges testtakers encounter on Sentence Correction questions is the tendency of the GMAT question writers to structure sentences in a way that departs from the way we typically write or speak. Take a simple example: “My books are on the table,” could also be written as, “On the table are my books.” If you’re like me, you cringe a little bit with the second option – it sounds starchy and pretentious, but it’s a perfectly legitimate sentence, and an example of what’s called “inverted structure.” In a standard structure, the subject will precede the verb. In an inverted structure, the subject comes after the verb. The tipoff for such a construction is typically a prepositional phrase, in this case, “on the table,” followed by a verb. It is important to recognize that the object of the prepositional phrase, “table” cannot be the subject of the verb, “are,” so we know that the subject will come after the verb. Let’s look at an example from an official GMAT question: The Achaemenid empire of Persia reached the Indus Valley in the fifth century B.C., bringing the Aramaic script with it, from which was derived both northern and southern Indian alphabets. (A) the Aramaic script with it, from which was derived both northern and (B) the Aramaic script with it, and from which deriving both the northern and the (C) with it the Aramaic script, from which derive both the northern and the (D) with it the Aramaic script, from which derives both northern and (E) with it the Aramaic script, and deriving from it both the northern and The first thing you might notice with this question is the use of the relative pronoun “which.” We’d like for “which” to be as close as possible to its referent. What do we think the alphabets were derived from? From the Aramaic script. Notice that in options A and B, the closes referent to “which” is “it.” There are two problems here. For starters, it would be confusing for one pronoun “which” to have another pronoun “it” as its antecedent. Moreover, “it” seems to refer to the Achaemenid Empire here. Do we think that the alphabets derived from the empire? Nope. Eliminate A and B. Although E eliminates the “which,” this option also seems to indicate that the alphabets derived from the empire, so E is out as well. Now we’re down to C and D. Notice that our first decision point is to choose between “from which derive” and “from which derives.” This is an instance of inverted sentence structure. We have the prepositional phrase “from which,” followed immediately by a verb, either “derive” or “derives.” Thus, we know that the subject for this verb is going to come later in the sentence, in this case, the northern and southern alphabets. If we were to rearrange the sentences so that they had a more conventional structure, our choice would be between the following options: C) Both the northern and the southern Indian alphabets derive from [the empire.] D) Both northern and southern Indian alphabets derives from [the empire.] Because “alphabets” is plural, we want to pair this subject with the plural verb, “derive.” Therefore, the correct answer is C. Takeaway: Anytime we see the construction “prepositional phrase + verb,” we are very likely looking at a sentence with an inverted sentence structure. In these cases, make sure to look for the subject of the sentence after the verb, rather than before. Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on Facebook, YouTube, Google+ and Twitter! By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can find more articles written by him here. The post How to Answer GMAT Sentence Correction Questions with Inverted Structures appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: 3 Common Mistakes MBA Applicants Make Choosing Essay Topics 
One of the most undervalued steps in the business school essaywriting process is to make sure it the essay ties in with each component of the MBA application – the essays, CV, letters of recommendation, transcripts, and GMAT scores. In the process and stress of making the major life decision of attending business school, many applicants often anchor their essays by one of the common factors below, and thus, lose out on presenting a stronger overall profile. Let’s examine these mistakes one by one: Professional Domain A candidate’s preMBA industry, company, and job function are all important, so it is understandable that these may become top of mind when brainstorming for examples and highlights to include in your essay. When it comes to the MBA essay, however, it is always best to consider mixing in different elements of your life experiences – ones that would help complement your resume and not just elaborate on what the reader will already glean from it. Extracurricular activities, especially those that are not related to your profession, help show a multidimensional personality, so it would be wise to discuss the ones you are involved with in your essays. For instance, an accomplished banker with excellent academics may be better off sharing leadership experiences with his mountain hiking group rather than detailing how he was able to do well in the CFA exams. In this case, valuable space in the essays can be better used to show additional dimensions to the applicant’s profile. Most Performed Activity Another common error, especially when creating your resume and even preparing for your interview, is to focus on the activities you perform most frequently. As critical as operational and maintenance tasks are, it would be better to play up more attentiongrabbing tasks. For example, it would be better to showcase how you led the financial review for your company’s new distribution model or new product lines than to describe the regular payroll disbursements you assist with. In short, when asked to describe what you do, it is not always best to prioritize your activities by the number of hours you spend on them. Instead, choose the ones that would be the most exciting to discuss, and the ones that will highlight more of your strengths. Technical Accomplishments Applicants from technical fields typically want to share their most technically challenging work. Sharing complexity does demonstrate deep expertise, and that your company trusts you to take on tremendous responsibilities, however you must also consider if there are better examples that would better showcase your experiences with collaboration and leadership. Remember, the MBA is geared towards developing your ability to work with people, whether it is through motivating teams of people, mentoring individuals, or managing challenging relationships. Thus, details on your technical accomplishments should be shared in a way that is understandable to nonindustry readers. Details on these more technical achievements should be descriptive enough to show impact and expertise, but concise enough that you still have room to display the key transferable skills you learned from this accomplishment, such as leadership and teamwork. Following the tips above should help you decide how to use the limited space in your MBA application package and present a complete picture of your unique personality. Applying to business school? Call us at 18009257737 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. The post 3 Common Mistakes MBA Applicants Make Choosing Essay Topics appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: The International Learning Opportunities Available to You in Business School 
Business schools have placed an increasing emphasis on global training to prepare students for the international nature of business today. To do this, schools have implemented a diverse set of programs aimed at the global business landscape. Let’s explore a few different program options currently available for students interested in cultivating a deeper understanding of international business: Study Abroad One of the best ways to immerse oneself in an international market is to study abroad. Taking part in a study abroad program will not only allow you spend some time in an international market to better understand its customs and business culture, but it will also allow you to study business more in a more formal setting. In addition, the networking opportunities available via study abroad programs can help students cultivate a strong international network of likeminded business professionals. International Immersion Programs The secondbest option to studying abroad is engaging in an internationalthemed business immersion, such as a global lab program. These programs offer tailored training on specific topical areas, and often in collaboration with a specific business incountry. They also often include an incountry component where students actually spend time in the country they are studying solving a specific business problem or learning more about the region through company visits, alumni chats, and government briefings. Language Study Another great way to prepare for a career in international business is to learn or refine your skills in a foreign language. Many programs now offer training in a foreign language, either through a sponsoring undergrad program or an external company like Berlitz. For students interested in studying abroad, language study can be a natural precursor to this. For many international, postMBA roles, a competency in a foreign language can be a requirement, so spending time developing this skill can be very advantageous for the recruiting process. International Classes In recent years, business schools have done a great job increasing the amount of coursework they offer (and sometimes even require) around international business. These classes can provide some nice academic training and knowledge in key functional areas like international marketing, international finance, and global markets. Taking international courses during your time at business school can help prepare you for a career working abroad or in internationalthemed roles at a global company. Business schools offer a wealth of international learning opportunities – make the most of your two years pursuing your MBA by preparing for a changing global marketplace. Applying to business school? Call us at 18009257737 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. 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. The post The International Learning Opportunities Available to You in Business School appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: PreCalculus Tutoring for High School Students 
The study of precalculus introduces high school students to a variety of topics, including functions, sequences, series, and more. If you’re a student taking a precalculus course, it’s likely that you’ll move on to a more challenging level of calculus with each passing year. You may even continue to take these classes right through college. Precalculus tutoring can prove very helpful as you go about learning the fundamentals of this type of math. Review some specific ways you can benefit from studying with a precalculus tutor to discover why it could be right for you: Build a Solid Foundation When it comes to this type of math, precalculus tutors can help you to build a solid foundation of understanding. For instance, you and your tutor can discuss daily lessons from your high school class to make sure you understand all of the concepts. You have the chance to ask your tutor questions about chapters in the textbook, tricky topics, and specific exercises. The answers you receive may make a puzzling lesson easier to understand. When you study with a precalculus tutor, you are establishing a strong foundation of understanding that you will need for success as you progress in the study of calculus. Get Help With Homework Assignments It’s not unusual for high school students who are taking precalculus to have difficulty completing all of the problems in a homework assignment. Fortunately, if you’re working with a tutor, you have someone you can partner with to solve challenging problems contained in your homework. Furthermore, your tutor can practice various types of precalculus problems with you to ensure that you understand the concept behind each problem. It’s important that you understand the lessons as well as the homework assignments given to you in your precalculus class. Each lesson conveyed by your teacher builds on skills you learned in previous lessons. Approach Exercises in an Effective Way Another excellent benefit of precalculus tutoring is that you are able to learn what you need to know in the most effective way for you. Experienced precalculus tutors understand the importance of conducting a tutoring session in a student’s own learning style. Your Veritas Prep precalculus tutor will take the time to become familiar with your learning style, so when you need an explanation of a difficult concept or you encounter an especially challenging problem, your tutor will know the most effective approach to take with you. When lessons are delivered to you in your learning style, it adds value to all of your tutoring sessions. Learn What to Expect in AP Calculus You may be working your way through a precalculus class with plans to take an AP calculus course later on in high school. This makes it all the more critical that you fully understand the material in your precalculus class. A professional tutor can help you to gain that level of understanding of the subject. In addition, you may want to take the AP Calculus AB or BC exam at a future date, and a tutor can help you reach and succeed at that goal. Achieving a high score on an AP exam can impress college officials who are looking for motivated students. Also, in some cases, a high AP exam score can earn you college credit, leaving room in your schedule for other interesting courses. Study With an Experienced Instructor At Veritas Prep, our capable tutors are our most valuable resources. We can help you do your best work in your high school precalculus class or prep you for the AP Calculus AB or BC exam. We hire tutors who have mastered the subjects they teach, so you know you’ll be working with a precalculus tutor who has navigated their way through the subject of calculus from the bottom up! Having confidence in your tutor is another factor that lends to the effectiveness of your sessions. We have an appealing selection of tutoring options available to you at Veritas Prep. Choose the option with the amount of instructional hours that will help your achieve your goals for precalculus and calculus, and choose your setting, too, since we offer both online and inperson tutoring services. Contact us via email or phone today to start studying precalculus with the experts. Do you need more help preparing for college? 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! The post PreCalculus Tutoring for High School Students appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: How NOT to Write the Equation of a Line on the GMAT 
A question brought an interesting situation to our notice. Let’s start by asking a question: How do we write the equation of a line? There are two formulas: y = mx + c (where m is the slope and c is the yintercept) and y – y1 = m * (x – x1) [where m is the slope and (x1,y1) is a point on the line] We also know that m = (y2 – y1)/(x2 – x1) – this is how we find the slope given two points that lie on a line. The variables are x1, y1 and x2, y2, and they represent specific values. But think about it, is m = (y2 – y)/(x – x1) really the equation of a line? Let’s further clarify this idea using a GMAT practice question: In the coordinate plane, line k passes through the origin and has slope 2. If points (3,y) and (x,4) are on line k, then x + y = (A) 3.5 (B) 7 (C) 8 (D) 10 (E) 14 We have been given that the line passes through (0, 0) and has a slope of 2. We can find the equation of the line from this information. y = mx + c y = 2x + 0 (Since the line passes through (0, 0), its yintercept is 0 – when x is 0, y is also 0.) y = 2x Since we are given two other points, (3, y) and (x, 4), on the line and we have a slope of 2, many testtakers will be tempted to make another equation for the line using this information. (4 – y)/(x – 3) = 2 (4 – y) = 2*(x – 3) Thus, 2x + y = 10 Here, testtakers will use the two equations to solve for x and y and get x = 5/2 and y = 5. After adding x and y together, they then wonder why 7.5 is not one of the answer choices. If this were an actual GMAT question, it is quite likely that 7.5 would have been one of the options. So all in all, the testtaker would not even have realized that he or she made a mistake, and would choose 7.5 as the (incorrect) answer. The error is conceptual here. Note that the equation of the line, 2x + y = 10, is not the same as the equation we obtained above, y = 2x. They represent two different lines, but we have only a single line in the question. So which is the actual equation of that line? To get the second equation, we have used m = (y2 – y)/(x – x1). But is this really the equation of a line? No. This formula doesn’t have y and x, the generic variables for the x– and ycoordinates in the equation of a line. To further clarify, instead of x and y, try using the variables a and b in the question stem and see if it makes sense: “In the coordinate plane, line k passes through the origin and has slope 2. If points (3, a) and (b, 4) are on line k, then a + b =” You can write (4 – a)/(b – 3) = 2 and this would be correct. But can we solve for both a and b here? No – we can write one of them in terms of the other, but we can’t get their exact values. We know a and b must have specific values. (3, a) is a point on the line y = 2x. For x = 3, the value of of the ycoordinate, a, will be y = 2*3 = 6. Therefore, a = 6. (b, 4) is also on the line y = 2x. So if the ycoordinate is 4, the xcoordinate, b, will be 4 = 2b, i.e. b = 2. Thus, a + b = 6 + 2 = 8, and our answer is C. This logic remains the same even if the variables used are x and y, although testtakers often get confused because of it. Let’s solve the question in another way using the variables as given in the original question. Recall what we have learned about slope in the past. If the slope of the line is 2 and the point (0, 0) lies on the line, the value of y – if point (3, y) also lies on the line – will be 6 (a slope of 2 means a 1unit increase in x will lead to a 2unit increase in y). Again, if point (x, 4) lies on the line too, an increase of 4 in the ycoordinate implies an increase of 2 in the xcoordinate. So x will be 2, and again, x + y = 2 + 6 = 8. Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on Facebook, YouTube, Google+, 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! The post How NOT to Write the Equation of a Line on the GMAT appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: How Long Should Your Harvard Application Essay Be? 
Harvard Business School has really gone out of its way to present itself in opposition to the stodgy, elitist image it tends to hold in the MBA world. Through the use of its blog and a more simplified application and essay format, HBS has taken a much more casual approach to letting candidates tell their story during this year’s application season. This approach has primarily manifested itself through the school’s choice to only offer one essay prompt in their application. As opposed to other MBA programs that require applicants to write two, three, and sometimes even four essays, Harvard’s sole essay requirement puts a lot of pressure on applicants to make the most of the limited word count they are given in this one chance to impress the Admissions Committee. But wait, what word count? The last few years, Harvard has also done away with adding a word count to their essays, putting the decision of length for the school’s only essay in the hands of the applicant. I know this is HBS, and like most applicants you will probably want to share as much of your story in this essay as possible to convince the school of your merits, but this essay is more about how you can effectively communicate a response to an openended question in a concise and compelling fashion than it is about cramming every detail of your professional and personal life into one essay. The best way to do this is to answer the question asked and only the question asked. Harvard is looking to get a response to the question they have asked for a reason – if they wanted additional information from you, they would have asked or will ask in other stages of the application process (through the application form, interview, etc.). As such, you’ll want to keep your response to this essay short. Avoid responses that stray above 1,000 words and settle into the 500750 word range, instead. An essay that is 1,000 or more words is almost a whopping 15minutes when read aloud! Keep in mind the school’s guidance: “don’t overthink, overcraft, and overwrite.” This is literally the approach you should take here. HBS receives almost 9,000 applications every year – that is a lot of reading, so the further you stray over 1,000 words, the more of a disadvantage you put yourself at. If you are struggling keeping your essay concise, make sure you are avoiding answering traditional MBA essay topics that are not actually being asked in the prompt. Often applicants get nervous if they do not have the opportunity to formally communicate common business school information like “Why HBS?” or “Why MBA?”. Avoid this temptation and respond to the prompt in a concise, authentic, and compelling fashion to give yourself the best chance of success in crafting your Harvard application essay. For more tips on applying to Harvard Business School, check out our Essential Guide to Top Business Schools. Applying to Harvard or other business schools? Call us at 18009257737 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. 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. The post How Long Should Your Harvard Application Essay Be? appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: What is an Average GRE Score? 
Individuals who want to take the Graduate Record Examination, or GRE, must do a lot of prep work. Most students have many questions about the test, among them: What is the average GRE score? They want to know so they have an idea of the scores other students around the country receive. Take a look at some average GRE scores, and learn how our talented team at Veritas Prep helps students to highlight their academic skills on this test. What Is the Average GRE Score? Before looking at the average scores on the revised GRE, it’s helpful to know the scoring range for each section of the test. A student can receive a score of anywhere between 130 and 170 on the Verbal Reasoning and Quantitative sections. On the Analytical Writing section, students can score from 0 to 6 points, in half point increments. On the GRE, average scores are as follows: 150.2 points for the Verbal Reasoning section, 152.5 points for the Quantitative section, and 3.5 points for the Analytical Writing section. Most schools display the average test scores of their applicants on their official websites. Students who visit the website of a particular school to read its admission guidelines can often find out the average GRE scores of students who gain acceptance into the institution. This is a good way for a student to find out what he or she needs to achieve on the GRE in order to make it into a particular graduate school. Growing Stronger in Every Subject on the GRE Taking a practice test is one of the most effective ways of finding a student’s strengths and weaknesses on the GRE. With the help of his or her instructor, a student is able to pinpoint skills that need improvement. This prevents a student from devoting too much study time to skills that he or she already knows. Once a student realizes what needs improvement, he or she can receive guidance from a Veritas Prep instructor regarding how to sharpen those skills. In many cases, our instructors provide students with a whole new way to approach a reading question or a math equation. Not surprisingly, many students continue to practice the skills they learn at Veritas Prep all of the way through graduate school! Once students begin to strengthen specific skills for the GRE, they gain a new sense of confidence and a more positive attitude toward the test. Strategies and Tips for the GRE We understand that most students want to excel on the GRE. Average scores are seen as a baseline by ambitious students who want their graduate school application to stand out in a crowd. The strategies our instructors share with students help them to complete the test in the most efficient way possible. For instance, we teach students how to filter out the most significant parts of a written passage so they can determine the correct answer option. We also offer students strategies that assist them in simplifying complicated math equations. We guide students in learning how to jot down an outline that includes elements that will help them to create two organized essays for the test. Our professional instructors are very familiar with the GRE, so they are able to convey tips to students based on their own testtaking experiences. The Night Before the Test Veritas Prep students benefit in a number of different ways from our GRE prep courses as well as our firstrate study resources. But, there are additional things they can do to feel ready for the test. For instance, the evening before the test students can be sure to eat a nutritious dinner with plenty of protein as well as fruits and vegetables. A healthy meal the night before the test can set the stage for a successful test day. Also, students are wise to get to bed early so they feel wellrested the next day. Trying to cram information the night before the GRE is nonproductive and adds to a student’s stress level. Students can contact our staff by telephone or email to find out more about our GRE prep services. We are glad to offer more information about our online or inperson courses. At Veritas Prep, we want all of our students to perform at their very best on the GRE! Want to jumpstart 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! The post What is an Average GRE Score? appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: GMAT Tip of the Week: 3 Guiding Principles for Exponent Problems 
If you’re like many GMAT examinees, you’ve found yourself in this familiar situation. You KNOW the rules for exponents. You know them cold. When you’re multiplying the same base and different exponents, you add the exponents. When you’re taking one exponent to another power, you multiply those exponents. A negative exponent? Flip that term into the denominator. A number to the zero power? You’ve got yourself a 1. But as thoroughly and quickly as you know those rules, this exponentbased problem in front of you has you stumped. You know what you need to KNOW, but you’re not quite sure what you need to DO. And that’s an everimportant part about taking the GMAT – it’s necessary to know the core rules, facts, and formulas, but it’s also every bit as important to have action items for how you’ll apply that knowledge to tricky problems. For exponents, there are three “guiding principles” that you should keep in mind as your action items. Any time you’re stuck on an exponentbased problem, look to do one (or more) of these things: 1) Find Common Bases Most of the exponent rules you know only apply when you’re dealing with two exponents of the same base. When you multiply samebase exponents, you add the exponents; when you divide two samebase exponents, you subtract. And if two exponents of the same base are set equal, then you know that the exponents are equal. But keep in mind – these major rules all require you to be using exponents with the same base! If the GMAT gives you a problem with different bases, you have to find ways to make them common, usually by factoring them into their prime bases. So for example, you might see a problem that says that: 2^x * 4^2x = 8^y. Which of the following must be true? (A) 3x = y (B) x = 3y (C) y = (3/5)x (D) x = (3/5)y (E) 2x^2 = y In order to apply any rules that you know, you must get the bases in a position where they’ll talk to each other. Since 2, 4, and 8 are all powers of 2, you should factor them all in to base 2, rewriting as: 2^x * (2^2)^2x = (2^3)^y Which simplifies to: 2^x * 2^4x = 2^3y Now you can add together the exponents on the left: 2^5x = 2^3y And since you have the same base set equal with two different exponents, you know that the exponents are equal: 5x = 3y This means that you can divide both sides by 5 to get x = (3/5)y, making answer choice D correct. But more importantly in a larger context, heed this lesson – when you see an exponent problem with different bases for multiple exponents, try to find ways to get the bases the same, usually by primefactoring the bases. 2) Factor to Create Multiplication Another important thing about exponents is that they represent recurring multiplication. x^5, for example, is x * x * x * x * x…it’s a lot of x’s multiplied together. Naturally, then, pretty much all exponent rules apply in cases of multiplication, division, or more exponents – you don’t have rules that directly apply to addition or subtraction. For that reason, when you see addition or subtraction in an exponent problem, one of your core instincts should be to factor common terms to create multiplication or division so that you’re in a better position to leverage the rules you know. So, for example, if you’re given the problem: 2^x + 2^(x + 3) = (6^2)(2^18). What is the value of x? (A) 18 (B) 20 (C) 21 (D) 22 (E) 24 You should see that in order to do anything with the lefthand side of the equation, you’ll need to factor the common 2^x in order to create multiplication and be in a position to divide and cancel terms from the right. Doing so leaves you with: 2^x(1 + 2^3) = (6^2)(2^18) Here, you can simplify the 1 + 2^3 parenthetical: 2^3 = 8, so that term becomes 9, leaving you with: 9(2^x) = (6^2)(2^18) And here, you should heed the wisdom from above and find common bases. The 9 on the left is 3^2, and the 6^2 on the right can be broken into 3^2 * 2^2. This gives you: (3^2)(2^x) = (3^2)(2^2)(2^18) Now the 3^2 terms will cancel, and you can add the exponents of the base2 exponents on the right. That means that 2^x = 2^20, so you know that x = 20. And a huge key to solving this one was factoring the addition into multiplication, a crucial exponentbased action item on test day. 3) Test Small Numbers and Look For Patterns Remember: exponents are a way to denote repetitive, recurring multiplication. And when you do the same thing over and over again, you tend to get similar results. So exponents lend themselves well to finding and extrapolating patterns. When in doubt – when a problem involves too much abstraction or too large of numbers for you to get your head around – see what would happen if you replaced the large or abstract terms with smaller ones, and if you find a pattern, then look to extrapolate it. With this in mind, consider the problem: What is the tens digit of 11^13? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 Naturally, calculating 11^13 without a calculator is a fool’s errand, but you can start by taking the first few steps and seeing if you establish a pattern: 11^1 = 11 –> tens digit of 1 11^2 = 121 –> tens digit of 2 11^3 = 1331 –> tens digit of 3 And depending on how much time you have you could continue: 11^4 = 14641 –> tens digit of 4 But generally feel pretty good that you’ve established a recurring pattern: the tens digit increases by 1 each time, so by 11^13 it will be back at 3. So even though you’ll never know exactly what 11^13 is, you can be confident in your answer. Remember: the GMAT is a test of how well you apply knowledge, not just of how well you can memorize it. So for any concept, don’t just know the rules, but also give yourself action items for what you’ll do when problems get tricky. For exponent problems, you have three guiding principles: 1) Find Common Bases 2) Factor to Create Multiplication 3) Test Small Numbers to Find a Pattern Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And as always, be sure to follow us on Facebook, YouTube, Google+ and Twitter! By Brian Galvin. The post GMAT Tip of the Week: 3 Guiding Principles for Exponent Problems appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Your ACT Is Done: Now What? How and When ACT Scores Are Available 
“Are ACT scores out yet?” “Are ACT scores posted online?” These are just two of the many questions that you and other high school students may have after taking the ACT. Naturally, most students want to know when ACT scores are available as well as how to send them to their preferred colleges. We can help you get the answers to these pertinent queries and others relating to ACT score reports. How to Get Your Scores Are ACT scores posted online? The answer is yes! In order to register for the test, you had to create a student account at the official website, ACT.org. This same account gives you access to your test scores. In addition to online access, you will get a score report in the form of a PDF via your student account. Remember that those who have taken the ACT view scores through their secure online account – the ACT doesn’t deliver scores via email, fax, chat, or telephone. When Will My ACT Scores Be Available? Normally, your composite score for the multiplechoice sections of the test can be viewed within two weeks after your test date. After getting your composite score, it takes approximately two more weeks to get your writing score. When ACT test results for the writing portion of the test are available, you’ll be notified via your online account. Keep in mind that the ACT’s official time frame for releasing a student’s scores is between two and eight weeks, so if your scores aren’t available within two weeks after the test, try checking back in another week or two. What Can Delay the Arrival of My ACT Scores? These are the basics on when ACT scores are available, but there are some circumstances that can delay the arrival of your scores. For example, a rescheduled testing date may mean that your scores are made available later than expected. Inaccuracies on your test forms can also cause a delay in the arrival of your scores. That’s why it’s so important to fill out the test forms completely and as instructed. Of course, you can contact those who administer the ACT via their website if you have any questions. Sending Scores to Colleges The most important people who will see your ACT scores are admissions officers, so you’ll want to make sure that your preferred colleges get them as well. During the test registration process, you can arrange for your test scores to be sent to four colleges. Make sure that you enter the correct college codes as you move through the process so there won’t be any delays in the delivery of your score reports. Retaking the ACT If you decide you want to retake the ACT, you’re allowed to do so as many times as you want. But before signing up to take the test again, make sure that you have a good reason to think that you’ll do better the second time. For example, perhaps you were sick on test day and felt that your illness affected your performance. Or maybe you felt unprepared for a particular section of the test and you want to review some things before giving the test another try. As far as ACT scores are concerned, colleges only consider your highest score on the test, so it can’t hurt to study up and try again. Starting Off on the Right Foot Whether you plan to retake the ACT or you’re taking it for the first time, our instructors are here to help! We give you strategies you can use on all sections of the test, including the essay. We guide you in taking a practice ACT, then review the results with you. This is an effective way to focus your efforts on the subjects that need the most work. You’ll be paired with a Veritas Prep instructor who is familiar with your learning style, making each of your tutoring sessions all the more productive. We use professional study materials and resources in our online and inperson courses. When you study with us, you receive the tools you need to master the ACT on test day. If you want to know more about the study program at Veritas Prep, check out our ACT trial class. You’ll learn about the subtleties of the ACT and get valuable tips from an experienced instructor. And be sure to find us on Facebook, YouTube, Google+ and Twitter! The post Your ACT Is Done: Now What? How and When ACT Scores Are Available appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Advanced Number Properties on the GMAT – Part VII 
We have seen a number of posts on divisibility, oddeven concepts and perfect squares. Individually, each topic has very simple concepts but when they all come together in one GMAT question, it can be difficult to wrap one’s head around so many ideas. The GMAT excels at giving questions where multiple concepts are tested. Let’s take a look at one such Data Sufficiency question today: If p, x, and y are positive integers, y is odd, and p = x^2 + y^2, is x divisible by 4? 1) When p is divided by 8, the remainder is 5. 2) x – y = 3 This Data Sufficiency question has a lot of information in the question stem. First, we need to sort through this information before we move on to the statements. We know that p, x and y are positive integers. y is an unknown odd number, so it can be written in the form 2n + 1. We also know that p = x^2 + y^2. Because y is written in the form 2n + 1, y^2 can be written as: y^2 =(2n + 1)^2 y^2 = 4n^2 + 4n + 1 y^2 = 4n(n + 1) + 1 An interesting thing to note here is that one case of n and (n+1) will be odd and the other will be even. In every case, n(n + 1) is even. Therefore, y^2 is 1 more than a multiple of 8. In other words, we can write it as y^2 = 8m + 1. Now we can say p = x^2 + 8m + 1. With this in mind, is x divisible by 4? Let’s examine the statements to find out: Statement 1: When p is divided by 8, the remainder is 5. Because y^2 = 8m + 1, we can see that when y^2 is divided by 8, the remainder will be 1. Therefore, to get a remainder of 5 when p is divided by 8, when x^2 is divided by 8, we should get a remainder of 4. Now we know that x^2 can be written in the form 8a + 4 (i.e. we can make “a’” groups of 8 each and have 4 leftover). x^2 = 4*(2a + 1) So x = 2 * √(an odd number) Note that square root of an odd number will be an odd number only. If there is no 2 in the perfect square, obviously there was no 2 in the number, too. So, x = 2 * some other odd number, which means x will be a multiple of 2, but not of 4 definitely. This statement alone is sufficient. Now let’s look at the next statement: Statement 2: x – y = 3 Since y is odd, we can say that x will be even (an even – an odd = an odd). But whether x is divisible by 2 only or by 4 as well, we cannot say since we have no constraints on p. This statement alone is not sufficient to answer the question. Therefore, our answer is A. Test takers might feel that not every step in this solution is instinctive. For example, how do we know that we should put y^2 in the form 4n(n+1) + 1? Keep the target in mind – we know that we need to find whether x is divisible by 4. Hence, try to get everything in terms of multiples of 4 + a remainder. See you next week! (For more advanced number properties on the GMAT, check out Parts I, II, III, IV, V and VI of this series.) Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on Facebook, YouTube, Google+, 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! The post Advanced Number Properties on the GMAT – Part VII appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: How to Prepare and Practice for the GRE Verbal Reasoning Section 
The Verbal Reasoning section of the Graduate Record Examination (GRE) challenges a student’s reading comprehension, vocabulary, and sentence completion skills. Our talented instructors at Veritas Prep teach students how to prepare for GRE Verbal Reasoning questions. There are several practical strategies available to students that can help them conquer even the most difficult questions in this section. Check out some valuable tips that students may use to prep for the Verbal Reasoning questions on the GRE: Complete One or More Practice Exams Taking a practice test is an important step in preparing for the GRE. Verbal Reasoning practice questions give students a sneak preview of what to expect on the test. Furthermore, students can look at the results of a practice test to determine which skills they need to work on. Some students may do well on the reading comprehension questions, but need a little help with questions that involve analogies. Other students may experience success with questions that involve antonyms and synonyms, but have trouble with questions that ask them to identify the main point of a written passage. Our Veritas Prep professional instructors are able to provide students with techniques on how to improve specific skills tested in the Verbal Reasoning section. Put Tips and Strategies Into Practice After working with a Veritas Prep instructor for a time, it’s a good idea for students to take another practice test. This helps them get into the habit of using our strategies on the GRE. Verbal practice questions are much easier to handle when a student employs our strategies. One example of an easy testtaking strategy is to look at the question, as well as all of the answer options before reading a passage. Skimming the question and the answer options gives a student an idea of what to look for in the passage. Perhaps the question concerns the main idea of the passage or asks a student to notice something about its supporting details. Our instructors are experts at providing strategies that help students pinpoint the most important parts of a passage. Another simple strategy can be used on sentence completion questions in the GRE Verbal section – look through all of the answer options and eliminate choices that are obviously incorrect. In addition, it’s helpful to plug each answer option into the sentence and read it to see if it makes sense. Students who want to take advantage of these and other strategies for the GRE are encouraged to contact our offices to sign up for a prep course today. Create Study Aids to Help with Vocabulary Practice There are lots of challenging vocabulary words on the GRE. Verbal Reasoning practice questions test a student’s familiarity with the definitions of these words. Flash cards are very helpful for students who are learning dozens of new vocabulary words for the GRE. They can create flash cards using a computer or simply write the words and their definitions on 4×6 index cards. Some students like to ask a friend to quiz them with the flash cards. Others prefer quizzing themselves with the flash cards whenever they get a free moment during the day. A basic whiteboard is another helpful study aid for students learning new vocabulary words for the GRE. A student chooses one word from a vocabulary list and creates a sentence using that word. Next, the student writes that sentence six times on the whiteboard while saying the words aloud. This exercise helps a student to retain both the word and its definition. Read Magazines and Newspapers Reading magazines and newspapers is another way for students to prepare for the GRE. Verbal practice questions require a student to be familiar with a lot of vocabulary words. A student who reads magazine and newspaper articles is likely to encounter some of the same vocabulary words that appear on the GRE. Art, science and news magazines are ideal choices for students who want to see these vocabulary words in context. Seeing unfamiliar vocabulary words used in context is an effective way of retaining a word as well as its definition. Students who study online with Veritas Prep are giving themselves an extra advantage on the GRE. Verbal prep exercises can help them to feel less anxious about the test. Our team uses effective study resources to help students thoroughly prepare for the Verbal Reasoning section of the GRE. Want to jumpstart 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! The post How to Prepare and Practice for the GRE Verbal Reasoning Section appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: 3 Things to Avoid When Applying to Business School as a Consultant 
One of the biggest industry feeders to top MBA programs, year in and year out, is consulting. Consultants often come to business schools with an impressive list of client experiences, analytical skills, and business presence. Now, given the surplus of candidates applying from this applicant pool, application season can be very competitive. This competitiveness makes it even more important for consultants to avoid the following issues when applying to MBA programs: 1) They Have No Clear Need for an MBA A career in consulting presents many opportunities to develop a myriad of skills. Consultants are regularly poached to work with some of the top companies in the world, as well. The challenge sometimes for consultants applying to business school then is properly communicating why they actually need an MBA. This may come across as a little odd, given that one would assume if you are applying to business school you should have this detail mapped out, but sometimes a candidate’s rationale can seem muddled in their application. In a weird way, business schools want to feel like they are needed by the applicant, and if there is not a clear opportunity to add value to a person’s life postMBA, that can be problematic for a candidate applying from such a competitive applicant pool. 2) Using Too Much “We” and Not Enough “I” One of the great advantages of working in consulting is the teamworkoriented work culture the industry is known for. As MBA programs move increasingly towards a more collaborative approach to learning, the ability to work with others becomes more and more valued. However, given their predominantly teambased work, many consultants struggle to communicate their individual contributions to the greater good of a company. As such, resumes and essays often read as too much “we” and not enough “I,” thus making it difficult for the Admissions Committee to discern the true impact the individual applicant has had during their career. 3) Minimizing Accomplishments Consultants can drive huge impact for clients and their firms on almost every project they work on. This exposure to top companies and major projects on a consistent basis can sometimes make it difficult for consultants to properly contextualize the impact of their work. Avoid minimizing your accomplishments by focusing on your own individual contributions, not just through quantitative numbers but also through qualitative experiences. Focus on highlighting your most impactful moments while contributing a holistic view of your work to best inform the Admissions Committee of your accomplishments. Follow the tips above to avoid wasting all of the great experience you have developed as a consultant when applying to business school. Applying to business school? Call us at 18009257737 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. 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. The post 3 Things to Avoid When Applying to Business School as a Consultant appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: GMAT Sentence Correction: How to Tackle Inverted Sentence Structures 
One of the challenges testtakers encounter on Sentence Correction questions is the tendency of question writers to structure sentences in a way that departs from the way we typically write or speak. Take a simple example: “My books are on the table,” could also be written as “On the table are my books.” If you’re like me, you cringe a little bit with the second option – it sounds starchy and pretentious, but it’s a perfectly legitimate sentence, and an example of what’s called “inverted structure.” In a standard structure, the subject will precede the verb. In an inverted structure, the subject comes after the verb. The tipoff for such a construction is typically a prepositional phrase – in this case, “on the table,” followed by a verb. It is important to recognize that the object of the prepositional phrase, “table,” cannot be the subject of the verb, “are,” so we know that the subject will come after the verb. Let’s look at an example from an official GMAT question: The Achaemenid empire of Persia reached the Indus Valley in the fifth century B.C., bringing the Aramaic script with it, from which was derived both northern and southern Indian alphabets. (A) the Aramaic script with it, from which was derived both northern and (B) the Aramaic script with it, and from which deriving both the northern and the (C) with it the Aramaic script, from which derive both the northern and the (D) with it the Aramaic script, from which derives both northern and (E) with it the Aramaic script, and deriving from it both the northern and The first thing you might notice is the use of the relative pronoun “which.” We’d like for “which” to be as close to as possible to its referent. So what do we think the alphabets were derived from? From the Aramaic script. Notice that in options A and B, the closes referent to “which” is “it.” There are two problems here. One, it would be confusing for one pronoun, “which,” to have another pronoun, “it,” as its antecedent. Moreover, “it” here seems to refer to the Achaemenid Empire. Do we think that the alphabets derived from the empire? Nope. Eliminate A and B. Though E eliminates the “which,” this option also seems to indicate that the alphabets derived from the empire, so E is out as well. We’re now down to C and D. Notice that our first decision point is to choose between “from which derive” and “from which derives.” This is an instance of inverted sentence structure. We have the prepositional phrase “from which,” followed immediately by a verb “derive” or “derives.” Thus, we know that the subject for this verb is going to come later in the sentence, in this case, the northern and southern alphabets. If we were to rearrange the sentences so that they had a more conventional structure, our choice would be between the following options: C) Both the northern and the southern Indian alphabets derive from [the empire.] or D) Both northern and southern Indian alphabets derives from [the empire.] Because “alphabets” is plural, we want to pair this subject with the plural verb, “derive.” Therefore, the correct answer is C. Takeaway: anytime we see the construction “prepositional phrase + verb,” we are very likely looking at a sentence with an inverted sentence structure. In these cases, make sure to look for the subject of the sentence after the verb, rather than before. Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on Facebook, YouTube, Google+ and Twitter! By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can find more articles written by him here. The post GMAT Sentence Correction: How to Tackle Inverted Sentence Structures appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Common Traits of SAT Writing Prompts and How to Best Prepare 
On the optional SAT Essay section, you have 50 minutes to analyze the argument an author puts forth in a passage. The content of the given passage remains a secret until you see it on test day, but you do have an opportunity to learn about SAT Essay prompts as you prep for the test. Studying the elements of SAT writing prompts can help you lay the groundwork for a stellar essay. Elements of the SAT Essay Prompt All of the optional SAT Essay prompts adhere to the same basic template. First, the prompt instructs you to consider how the author of the passage uses evidence (examples or facts) to support their claims. Secondly, you’re asked to consider the author’s idea development as well as how they connect their claims with evidence. Third, you must consider the author’s use of elements such as their word choice to enhance their ideas. Though these are the basic elements of all SAT writing prompts, the passages vary from one exam to the next. What to Expect in the Passage Given for the SAT Essay The practice Essay prompts that are available reveal some of what to expect on the actual test. For example, one practice prompt may ask you to analyze a portion of a speech made by Martin Luther King Jr. on the injustice of the Vietnam War. Another may be a prompt connected to a passage from a book written by President Jimmy Carter, asking you to analyze his argument against the industrial development of the Arctic National Wildlife Refuge. Other passages available for students to use to practice their writing skills before taking the SAT are pieces written by contemporary authors such as Paul Bogard and Eliana Dockterman. But keep in mind that when responding to every SAT Essay prompt, the content of the passage is not as important as the quality of the author’s argument. Preparing to Write Your Essay The best way to prepare for the new SAT Essay is to practice writing essays with sample SAT writing prompts in mind. Also, get into the habit of jotting down notes as you read the passage. These notes can help you to include evidence that supports your analysis of the author’s argument. Creating an outline before writing your practice essay is another effective way to prepare for this task. The typical outline features four parts: an introductory paragraph that includes your thesis sentence, a paragraph offering specific examples that support your thesis, a third paragraph covering details of how these examples support your thesis, and a concluding paragraph restating your thesis. Dedicating several minutes to creating an outline for your essay is worth your effort. If you happen to lose your train of thought while writing the actual essay, you can look at your outline to get back on track. The Ingredients in a HighScoring SAT Essay In addition to studying the available SAT Essay prompts, it’s a smart idea to read several essays that received high scores. The new SAT Essay rubric reveals the specific features an essay must have in order to earn a high score. Write your essay using a practice prompt, then evaluate your piece using the rubric to get an idea of how you would have scored. By doing this, you can determine what needs to be put into and left out of your essay in order to earn a high score. Want to practice with the best? The SAT instructors at Veritas Prep are experts at crafting highscoring essays. We hire tutors who scored in the 99th percentile on the SAT, so you’ll have access to teachers who know tips and tricks to simplify the essaywriting process. We’ll critique your practice essays and provide you with strategies for crafting a solid analysis of the passage. We also offer free tutorials to give you an idea of how we can help you prepare for the SAT Essay section as well as all other parts of the test. And when you sign up with Veritas Prep, you can take advantage of either online or inperson courses for your convenience. Give us a call and let our instructors give you the advantage on the new SAT Essay section! Still need to take the SAT? Check out our variety of free SAT resources to help you study successfully. And be sure to find us on Facebook, YouTube, Google+ and Twitter! The post Common Traits of SAT Writing Prompts and How to Best Prepare appeared first on Veritas Prep Blog. 

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