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FROM Veritas Prep Blog: Insights from the 2020 US News & World Report Business Schools Rankings: Wharton is #1 
The 2020 US News & World Report Business Schools Rankings were published today. Most of the schools that are perennially in the top 10 are there again, however there were some changes in position. Wharton holds the top spot, alone, this year up two spots from #3 last year. Also, Harvard and Booth fell from tied for #1 last year to tied for #3 this year. MIT Sloan is also tied for 3rd. Yale’s back in the top 10, as is Duke. 2020 US News & World Report Business Schools Rankings
Out of the schools in the top 10 this year, all of them, except for Duke, had an average GMAT of 720 or higher. Scanning the rankings, it wasn’t until you got to #15 Cornell University (Johnson) that the average GMAT score dipped below 700. The average GMAT score at 5 of the top 6 schools was 730+. Similar to rankings, we don’t want to place too much emphasis on the average GMAT score, but it’s worth noting that the average scores remain high and are continuing to go up for schools in the top 25. You’re probably wondering, what you can do about it. Check out these articles on the Veritas Prep blog or contact us so we can give you some free advice. Acceptance rates at the top schools range from 6.1% (Stanford) to 27.1% (University of Michigan Ross). A school’s acceptance rate doesn’t tell you your chances of being accepted. The strength of your profile and application determine that, but we point out acceptance rates because it’s worth noting how competitive getting into a top business school can be and what the chances are and how much they vary, even among schools ranked in the top 10. As we’ve stated before: for those of you hyper focused on attending a school in the top 10, we hope you remember that the top 10 varies from year to year and you should keep an open mind about applying to schools outside of the top 10. The difference between a school being ranked in the top 10 and not is pretty small. One year they may be in the top 10, the next year they may be out. Did the school change that much in 1 year? Probably not. Is the school still a great school? Most likely yes. There can be so much focus on a school being ranked in the top 10, but there are a number of excellent schools which hover right around the top 10 and even crack the top 10 (as they say) some years that as an applicant, you should make sure you don’t overlook them. So, while Tuck, Stern and Darden aren’t in the top 10 this year, as you consider which schools to apply to, take a look at these schools as they are perennially near the top 10 and sometimes included, if that’s important to you. We constantly remind applicants, rankings are only one factor to consider when selecting which schools to apply to. Regardless of which schools you decide are right for you, you’ll want to make sure you submit the strongest application you’re capable of. Contact us today to discuss your chances of admission to your target programs, to get answers to your questions, and to find out how we can help you get accepted to the school of your dreams. Do you have what it takes to get into one of these schools? Speak with an admissions expert at Veritas Prep. At Veritas Prep, we’ve helped over 300,000 people take the GMAT, apply to their dream schools, and get admitted. Interested in learning more about how Veritas Prep can help you? Give us a call at (800) 9622069 to speak with an MBA admissions expert today, or fill out this quick form to schedule a free MBA consultation, where we’ll review your applicant profile and give you actionable advice for your unique situation: https://www.veritasprep.com/businessschool/freeprofileevaluation/ The post Insights from the 2020 US News & World Report Business Schools Rankings: Wharton is #1 appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Does Round 3 Hold a Future For Me? 
This past week a lot of applicants learned their fates as many top MBA programs – including HBS and Stanford – released their Round 2 decisions. If you were admitted to your dream program – congratulations! If you were not – let’s take a look at some of your burning questions. Is it too late to apply in Round 3? No it is not, but you better hurry! Deadlines at most top programs are right around the corner.
It is possible to be admitted as a Round 3 applicant. To have a chance of being admitted in Round 3, you’ll need to present a strong application. To give yourself the best chance of admission, check to see if your application measurables (GMAT score, undergraduate GPA, years of work experience) align with or exceed the class profile numbers at your target school. If you’re a strong candidate or have something unique to offer you may be just the person the admissions committees are looking to admit. Also, you may be applying to your backup schools or backups to the backups, so make sure you enthusiastically and convincingly convey why you’re excited about attending the school you’re applying to. I’ve been waitlisted, what should I do? One of the most common reasons applicants end up on the waitlist is their test score. If your GMAT is below your target program’s average, you should strongly consider retaking the test. If you really want to get into a school, then we recommend that you do everything in your power to get in. If that means studying three hours a day for the next four weeks to improve your GMAT score, then do it! These programs are looking for driven individuals who are willing to do whatever it takes to achieve their goals. Once you have something new to tell them, then be sure to communicate these updates to the admissions committee! The other thing you’ll want to do, regardless of your test score, if the school accepts an update or supplemental essay, you’ll want to make sure you write a great one! Think hard about what weaknesses, if any, you want to address and what positive updates you have to share – a promotion at work, additional responsibility or big projects undertaken, perhaps you’ve taken steps and made progress towards the career goals you set forth in your application. Highlight activities, experiences, and accomplishments that add value to your candidacy. Applying in Round 3 or being on the waitlist can be challenging. What other questions do you have? Veritas Prep has consultants who have helped applicants just like you get in during Round 3 or off the waitlist. Some of our consultants successfully faced the same situations themselves. Contact us today to speak with an admissions expert and find out how we can help you. Give us a call at (800) 9622069 to speak with an MBA admissions expert today, or fill out this quick form to schedule a free MBA consultation, where we’ll review your applicant profile and give you actionable advice for your unique situation: https://www.veritasprep.com/businessschool/freeprofileevaluation/ The post Does Round 3 Hold a Future For Me? appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: First Mover Advantage: Start Your MBA Applications Early & Improve Your Chances of Admission into Top Business Schools 
At Veritas Prep headquarters, spring is definitely one of our favorite times of the year! Not just because of the warmer weather, but also because our admissions consulting clients are letting us know what toptier MBA programs they’re hearing from and sharing their success stories with us. Along with help from their consultants, we know our clients put a lot of effort into their applications. And for many clients who are heading to the most elite business schools this fall, they also started the application process months ahead of deadlines. Being admitted to a topranked MBA program requires much more than a high GMAT score and a set of grammarperfect essays. Allotting yourself plenty of time ahead of deadlines gives you an opportunity to show business schools that you mean, well, business. Veritas Prep First Movers start the application process months in advance of their competition and capitalize on their head start in a number of ways. Here are just a couple of great reasons to get started early:

FROM Veritas Prep Blog: What are MBA Programs Really Looking for In Applicants? 
What are MBA programs really looking for in applicants? We recently hosted a free webinar about Improving Your MBA Application Odds. If you’d like to watch the video it’s here. Below is a recap of some of the highlights. How admissions officers evaluate MBA applicants Admissions officers start by evaluating your academic ability and your professional experience. To evaluate an applicant’s academic ability, they’ll look at your GMAT score and your undergraduate GPA. To evaluate an applicant’s professional experience, they’ll look at how many years (or months) of postundergraduate work experience you have, but it’s not just about the quantity, they’re also looking to understand the quality. What types of roles have you held, what levels of responsibility, what types of projects have you worked on, have you been promoted, what impact have you had. Then there’s everything else – your career goals, why do you want an MBA, why do you want to attend that program, what will you contribute to the program. Some programs are interested in understanding who you are as a person, how you think and what drives you. A lot of applicants will have the same GMAT score as you or there may be a lot of applicants who have similar work experiences, but it’s the everything else that will differentiate you and help you stand out in the crowded and competitive applicant pool. Improving your chances of admission In order to improve your chances of admission, you must make yourself as strong an applicant as you can in these various areas. In addition, you must present as strong an application as you can. Note: there is a difference between being a strong applicant and presenting a strong application. You give yourself the best chance of admission if you do both. Let’s start by talking about the GMAT because your GMAT score is super important. On one hand: your GMAT score is only one piece of your application. On the other hand: While a high GMAT score alone will not get you in, a low GMAT score can keep you out. So in order to improve your chances of admission, do everything in your power to get the best score you’re capable of. Once you’ve done that, move on to doing great in other areas of your application. In the webinar, a member of the audience asked: “Can you increase the gmat score by more than 50 points? Or is that usually not seen?” It’s definitely possible to increase your score by more than 50 points. Veritas Prep students who complete the entire program improve their GMAT score by an average of 140 points. Our outstanding instructors and curriculum have helped thousands. You can also work with one of our tutors who can address your individual needs with personalized help. Those are just some of the topics we discussed during the webinar. If you’d like to learn more you can watch the video or give us a call at (800) 9622069 to speak with an MBA admissions expert. You can also fill out this quick form to schedule a free MBA consultation, where we’ll review your applicant profile and give you actionable advice for your unique situation. At Veritas Prep, we’ve helped over 300,000 people take the GMAT, apply to their dream schools, and get admitted. Contact us today to find out how we can help you. The post What are MBA Programs Really Looking for In Applicants? appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Things to do in May when you are applying to MBA programs 
May is a huge month for MBA applicants. For starters, this represents the best (and in some cases, last) chance to visit campuses before a round one application deadline. Students are usually in good spirits and very willing to talk this time of year and exploring campuses late in the spring is a great way to define a school search heading into the summer (when visiting is fruitless, because campuses are empty). Furthermore, this is the time to start assessing strengths and weaknesses in your candidacy, while you still have time to address them. Four months from Round One, you still have time to increase your GMAT score, showcase leadership and teamwork, to start a volunteer activity, to take a summer class, or even to pursue a credential like the CPA or CFA. Also, essay prompts and deadlines will start being released in May, and we’ll publish essay advice throughout the summer, so make sure you watch for those and keep up with us on social media (Facebook, YouTube, and Twitter, Instagram coming soon!). Not only that, but (and this is going to sound crazy) your preparation for MBA interviews starts now. The goal over the next half of a year is to refine your own personal sales pitch to the point where you can deliver a oneminute version or a onehour version, depending on the audience. You will be able to splice it up to answer different questions, figure out ways to bring up certain points yourself, and generally know how to get the whole message out in front of any interviewer. Such a sales pitch is made up of the answers to four questions: (1) why do you want an MBA? (2) why now? (3) why this school? (4) why should you be admitted over another qualified applicant? At some point, you are going to have to artfully answer (in so many words) those questions. So start practicing now! Every time someone asks you why you are pursuing an MBA, take advantage and work on your sales pitch. It will be easy to play it cool and make a joke or a passing comment, but that does you no good. That choice is part of a bygone era, where you could afford to stay aloof and still achieve success. Now? The hungry win. Survival of the fittest rules the day. Hopefully, this blog post will light a fire under you to start working on your goal now – to start living your dream earnestly and passionately, with no room for procrastination and no scorecard for cool points. It’s time to set your dreams in motion. For more MBA admissions advice, give us a call at (800) 9622069 and speak with an MBA admissions expert today. You can also fill out this quick form to schedule a free MBA consultation, where we’ll review your applicant profile and give you actionable advice for your unique situation. At Veritas Prep, we’ve helped over 300,000 people take the GMAT, apply to their dream schools, and get admitted. Contact us today to find out how we can help you. The post Things to do in May when you are applying to MBA programs appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: What Game of Thrones Teaches Us About Applying To Business School 
Many of you watched the Game of Thrones finale this past weekend. As you start working on your applications to business school, you would be wellserved to keep Tyrion Lannister’s words in mind. There’s nothing in the world more powerful than a good story. –Tyrion Lannister A good story can make the difference between being an admit and not in the highly competitive world of MBA admissions. It’s probably not that hard for you to imagine that many applicants look similar on paper. GMAT scores, GPAs, types of work experience, postMBA goals. So how does an MBA hopeful stand out from the crowd? One way is by telling your story. Are you worried that your story will sound like everyone else’s? That’s possible, but if you dig deep and think really hard about who you are and what’s brought you to the point you’re at today you just might hit on something compelling, even if it isn’t the most unique. You might need a little help sifting through the details and stories of your life to identify key themes to highlight. That’s something an admissions consultant can help you with. The story you tell doesn’t have to be something the admissions committee has never heard. However, it should be genuine and heartfelt, with concrete details and specific examples. A good story has a hook, beginning, middle, and end and more importantly connects with the reader by being about something interesting or important. So whether you’re working on HBS’s essay question “As we review your application, what more would you like us to know as we consider your candidacy for the Harvard Business School MBA program?” or any of the other essay prompts out there keep the following in mind as your write your essays and craft your entire application:
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FROM Veritas Prep Blog: Columbia Business School 20192020 MBA Application Essay Tips 
If you’re applying to Columbia Business School and are looking for advice on the essays you’ve come to the right place. Applicants to Columbia Business School must complete one short answer question and three essays. Read on for a taste of the advice you can find in the Veritas Prep Essential Guide to Top Business Schools. You can also skip straight to the full version of our advice, if you’d like a more indepth analysis of this year’s essay prompts from Columbia. Short Answer Question: What is your immediate postMBA professional goal? (50 characters maximum) 50 characters is not a lot, so get to the point! A straightforward question deserves a very straightforward answer, so don’t beat around the bush in answering this. Be specific. Note that the examples Columbia provides all start with a verb. Essay 1: Through your resume and recommendations, we have a clear sense of your professional path to date. What are your career goals over the next 35 years and what, in your imagination, would be your longterm dream job? (500 words) Here’s your chance to expand on the answer you provided to the short answer question. Two very important things to keep in mind with this essay: 1) Make sure your goals are researched, realistic and real, and 2) show that you have the vision and ambition to really make a positive impact. We go into depth about how to ensure that your goals are researched, realistic, and real in the full essay advice section of our Essential Guide. For example, in researching your goals, ask yourself have you done “human research”? Have you actually talked to someone who has your target position and do you truly know what it entails? Will an MBA from Columbia help you achieve that goal? These are questions you should be asking yourself as you tackle this essay prompt. Essay 2: Why do you feel Columbia Business School is a good fit for you? (250 words) In your essay response, show how you’ll take advantage of the unique opportunities Columbia offers. What specifically does Columbia offer you that is perhaps not available at the other top business schools (especially other schools in New York) that you might be interested in? Go beyond just the obvious professional opportunities, and consider also writing about the social benefits of immersing yourself in the Columbia culture and going to business school in New York City. Essay 3: Who is a leader you admire, and why? (250 words) Why you admire the leader is more important than who you choose. An important part of a strong answer to this question is showing what leadership means to you and tying in ways you’ve exemplified those qualities. Those are just a few quick thoughts on the 20192020 application essays for Columbia. For more free expert advice on getting into top MBA programs like the one at Columbia Business School, check out the Veritas Prep Essential Guide to Top Business Schools. Veritas Prep has helped people just like you discover their story and produce topnotch applications, gaining them admission to the most selective MBA programs in the world. Contact us today to find out how we can help you. Give us a call at (800) 9622069 or fill out this quick form to schedule a free MBA consultation, where we’ll review your applicant profile and give you actionable advice for your unique situation. Sign up to receive future blog articles The post Columbia Business School 20192020 MBA Application Essay Tips appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Northwestern Kellogg 20192020 MBA Essay Tips 
Applicants to Northwestern Kellogg must answer two essay questions and complete a video essay. Essay 1: Kellogg’s purpose is to educate, equip & inspire brave leaders who create lasting value. Provide a recent example where you have demonstrated leadership and created value. What challenges did you face and what did you learn? (450 words) Use the SAR method to tell stories. This essay is a classic candidate for the SAR (Situation–Action–Result) outline that we recommend our clients use. The situation will likely be an opportunity or challenge where you needed to demonstrate leadership in order to get something done. The action will be how you exercised your leadership. Perhaps you influenced a team to see things your way and convinced them to take up your cause. Finally, the result will be the outcome—the lasting value you created–not just of that particular situation, but also the positive impact that it had on you as a young leader. Pay particular attention to the last few words of this essay prompt; what you learned may be what the admissions committee pays attention to the most. Essay 2: Values are what guide you in your life and work. What values are important to you and how have they influenced you? (450 words) Provide insight on what motivates you. The values you choose are important, but the reasons why you chose those values are even more important. The best answers will include specific examples or stories that demonstrate how or why these values have significance in your life. We can’t really say it better than Kate Smith, Assistant Dean of Admissions and Financial Aid at Kellogg. “We hope to hear how these values have influenced you. Last year, this question focused on how an applicant has grown in the past, and how he or she intends to grow at Kellogg. Our change comes from wanting to understand what drives you when you get up every morning. How will this make you meaningful members of our community at Kellogg? How will these values shape the kind of leader you will become one day?” It’s a lot to pack in to 450 words, but try to be as specific as possible and providing examples with concrete details will help bring your answer to life and be an engaging read. We’ve got a couple more tips for Essay 2. To read them check out the full version of our advice. The Video Essay Video essay 1: Please introduce yourself to the admissions committee. Video essay 2: What path are you interested in pursuing, how will you get there, and why is this program right for you? Video essay 3: Each of you will receive a randomly selected prompt, all of which have the same objective. We want you to show us how you handled a challenging situation in your career or personal life. For example, we might ask you to tell us about a time you failed to achieve a goal you had set for yourself. Tips for success First, practice, practice, practice. Get comfortable with the format and the technology using the sample questions provided in the application. The questions for the video essay aren’t intended to be difficult. For the first question, with just one minute to respond, you may want to pick one or two aspects of your background to share that you may not have been able to bring to life in other parts of your application. For the second question, show enthusiasm and thoughtfulness. You have a plan. If you’re excited about it, it’s more likely that the viewer will be excited about it and you, too. For the third question, be prepared to think somewhat on your feet. You may not think of a brilliant answer for all of these questions, and you might even stumble a little bit. That’s actually fine. Simply do your best and let them see a glimmer of your personality. These are just a few quick thoughts on the 20192020 application essays for Kellogg. For more about Kellogg check out the Essential Guide to Kellogg. To learn more about 12 of the top MBA programs check out the Veritas Prep Essential Guide to Top Business Schools. Veritas Prep has helped people just like you discover their story and produce topnotch applications, gaining them admission to the most selective MBA programs in the world. Contact us today to find out how we can help you. Give us a call at (800) 9622069 or fill out this quick form to schedule a free MBA consultation, where we’ll review your applicant profile and give you actionable advice for your unique situation. Sign up to receive future blog articles The post Northwestern Kellogg 20192020 MBA Essay Tips appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Northwestern Kellogg 20192020 MBA Application Essay Tips 
If you’re applying to Northwestern Kellogg’s MBA program and looking for advice on the essays you’ve come to the right place. Applicants to Northwestern Kellogg must answer two essay questions and complete a video essay. Essay 1: Kellogg’s purpose is to educate, equip & inspire brave leaders who create lasting value. Provide a recent example where you have demonstrated leadership and created value. What challenges did you face and what did you learn? (450 words) Use the SAR method to tell stories. This essay is a classic candidate for the SAR (Situation–Action–Result) outline that we recommend our clients use. The situation will likely be an opportunity or challenge where you needed to demonstrate leadership in order to get something done. The action will be how you exercised your leadership. Perhaps you influenced a team to see things your way and convinced them to take up your cause. Finally, the result will be the outcome—the lasting value you created–not just of that particular situation, but also the positive impact that it had on you as a young leader. Pay particular attention to the last few words of this essay prompt; what you learned may be what the admissions committee pays attention to the most. Essay 2: Values are what guide you in your life and work. What values are important to you and how have they influenced you? (450 words) Provide insight on what motivates you. The values you choose are important, but the reasons why you chose those values are even more important. The best answers will include specific examples or stories that demonstrate how or why these values have significance in your life. We can’t really say it better than Kate Smith, Assistant Dean of Admissions and Financial Aid at Kellogg. “We hope to hear how these values have influenced you. Last year, this question focused on how an applicant has grown in the past, and how he or she intends to grow at Kellogg. Our change comes from wanting to understand what drives you when you get up every morning. How will this make you meaningful members of our community at Kellogg? How will these values shape the kind of leader you will become one day?” It’s a lot to pack in to 450 words, but try to be as specific as possible and providing examples with concrete details will help bring your answer to life and be an engaging read. We’ve got a couple more tips for Essay 2. To read them check out the full version of our advice. The Video Essay Video essay 1: Please introduce yourself to the admissions committee. Video essay 2: What path are you interested in pursuing, how will you get there, and why is this program right for you? Video essay 3: Each of you will receive a randomly selected prompt, all of which have the same objective. We want you to show us how you handled a challenging situation in your career or personal life. For example, we might ask you to tell us about a time you failed to achieve a goal you had set for yourself. Tips for success First, practice, practice, practice. Get comfortable with the format and the technology using the sample questions provided in the application. The questions for the video essay aren’t intended to be difficult. For the first question, with just one minute to respond, you may want to pick one or two aspects of your background to share that you may not have been able to bring to life in other parts of your application. For the second question, show enthusiasm and thoughtfulness. You have a plan. If you’re excited about it, it’s more likely that the viewer will be excited about it and you, too. For the third question, be prepared to think somewhat on your feet. You may not think of a brilliant answer for all of these questions, and you might even stumble a little bit. That’s actually fine. Simply do your best and let them see a glimmer of your personality. These are just a few quick thoughts on the 20192020 application essays for Kellogg. For more about Kellogg check out the Essential Guide to Kellogg. To learn more about 12 of the top MBA programs check out the Veritas Prep Essential Guide to Top Business Schools. Veritas Prep has helped people just like you discover their story and produce topnotch applications, gaining them admission to the most selective MBA programs in the world. Contact us today to find out how we can help you. Give us a call at (800) 9622069 or fill out this quick form to schedule a free MBA consultation, where we’ll review your applicant profile and give you actionable advice for your unique situation. Sign up to receive future blog articles The post Northwestern Kellogg 20192020 MBA Application Essay Tips appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Harvard Business School Application Essay & Deadlines for 20192020 
Several of the top U.S. business schools have already released their application essays and admissions deadlines. It’s that time of year when we start digging into them for you. Today, we’re looking at the business school with the biggest name and the earliest Round 1 deadline: Harvard Business School. Without further ado, here are Harvard’s deadlines and essay, followed by our comments: Harvard Business School Admissions Deadlines Round 1: September 4, 2019 Round 2: January 6, 2020 2+2 Round: April 2, 2020 Harvard Business School Admissions Essay There is one question for the Class of 2022: As we review your application, what more would you like us to know as we consider your candidacy for the Harvard Business School MBA program? There is no word limit for this question. We think you know what guidance we’re going to give here. Don’t overthink, overcraft and overwrite. Just answer the question in clear language that those of us who don’t know your world can understand. HBS kept the exact same essay prompt. When a school carries over an essay from one year to the next, that means admissions officers like what they’re seeing in the essays they receive. Based on what we’ve learned from our clients over the past several years (many of whom were admitted!), we feel very good about the advice we’ve been giving on this essay, so our advice mostly remains the same. A familiar essay prompt. Take a look at this HBS essay prompt from 20142015: “You’re applying to Harvard Business School. We can see your résumé, school transcripts, extracurricular activities, awards, postMBA career goals, test scores and what your recommenders have to say about you. What else would you like us to know as we consider your candidacy? (No word limit)” Notice anything similar? While the school chose not to list out the other application elements this year, the prompts are essentially the same. Regardless, it’s important to take some guidance from the way HBS once chose to phrase the essay question. Keep in mind that they do have your résumé, they do have your test scores, and they do have your transcripts. In other words, Harvard’s admissions committee isn’t looking for an essay answer that merely rehashes everything already noted on your application. If one or two of your accomplishments listed elsewhere organically find their way into your answer, that’s fine, but avoid the temptation to merely remind them of what they already know. Your overall goal. We always tell every applicant that they need to do two things to get into HBS or any other top MBA program: 1) Stand out from other applicants (especially those with similar profiles), and 2) show how you fit with the school. If you come from a very common background (think management consultant, investment banker, or IT consultant from Asia), then you need to stand out even more, and this essay is your chance to do it. If your background already makes you unusual compared to the typical HBS class profile (perhaps you have more than the typical amount of work experience or have zero quantitative abilities to point to), then you need to use this essay to demonstrate that you will fit in and thrive at Harvard. Resist the urge to go for a gimmick, but don’t be afraid to let your hair down a bit. What brought you to this point in your life? What will you uniquely contribute to your MBA class? What do you want to do after HBS? What do you like to do outside of school and work? What gets you up in the morning? Choose a theme. One approach we would recommend is to think of a key theme or differentiator that defines you. Recognizing that this kind of selfreflection can be a challenge for many applicants, Veritas Prep entered into a yearlong collaboration with the publishers of the MyersBriggs personality type assessments to develop our Personalized MBA Game Plan™ assessment tool, available free to all GMAT Prep and Admissions Consulting customers. Using your MyersBriggs personality type, this assessment helps you analyze your own strengths and weaknesses to determine the unique ways that you may stand out from the crowd. Whether or not you utilize this resource, be very mindful of the key takeaway that you want the admissions board member to remember about you. Read more of our thoughts on the HBS essay here. Every year we help dozens of applicants apply to Harvard Business School. Want to see if you have what it takes to get into HBS? You can get a free profile evaluation from a Veritas Prep MBA admissions expert or give us a call at (800) 9622069. And, as always, be sure to find us on Facebook and YouTube, and follow us on Twitter! Sign up to receive future blog articles The post Harvard Business School Application Essay & Deadlines for 20192020 appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Can You Find the Correct Answer to This Tricky GMAT Question? 
This is hard to confess publicly but I must because it is a prime example of how GMAT takes advantage of our weaknesses – A couple of days back, I answered a 650 level question of weighted averages incorrectly. Those of you who have been following my blog would understand that it was an unpleasant surprise – to say the least. I know my weighted averages quite well, thank you! For this comedown, I blame the treachery of GMAT because it knows how to get you when you become too complacent. The takeaway here is – no matter how easy and conventional the question seems, you MUST read it carefully. Let me share that particular question with you. I will also share two solutions which give you two different answers. It is an exercise for you to figure out which one is the correct solution (that is, if one of them is the correct solution). Needless to say, the error in the solution(s) is conceptual and very easy to see (not some sly calculation mistake). It’s just that in your haste, it’s very easy to miss this important point. I hope to see some comments with some good explanations. Question: The price of each hair clip is ¢ 40 and the price of each hair band is ¢ 60. Rashi selects a total of 10 clips and bands from the store, and the average (arithmetic mean) price of the 10 items is ¢ 56. How many bands must Rashi put back so that the average price of the items that she keeps is ¢ 52? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 Solution 1: Price of each clip (Pc) = 40 Price of each band (Pb) = 60 Average price of each item (Pavg) = 56 Wc/Wb = (Pb – Pavg)/(Pavg – Pc) = (60 – 56)/(56 – 40) = 1/4 (our weighted average formula) Since the total number of items is 10, number of clips = 1*2 = 2 and number of bands = 4*2 = 8 If the average price is changed to 52, Wc/Wb = (Pb – Pavg)/(Pavg – Pc) = (60 – 52)/(52 – 40) = 2/3 Now the ratio has changed to 2:3. This gives us number of clips as 4 and number of bands as 6. Since previously she had 8 bands and now she has 6 bands, she must have put back 2 bands. Answer (B)Your method is correct until the step highlighted. The ratio 2:3 is not equal to 10 since we are reducing no. of bands from the total. it will be 2x+ 3x = 10  no of bands. We get X = 1 from no. of clips being 2 only (no adds. or subtraction) hence 2x =. 2 ==> X= 1 ==> 3x =3 hence no of bands reduced is 5. Solution 2: Say the number of hair clips is C and the number of hair bands is 10 – C. (40C + 60(10 – C))/10 = 56 (Using the formula: Average = Sum/Number of items) On solving, you get C = 2 Number of clips is 2 and number of bands is (C – 2) = 8. Now, let’s consider the scenario when she puts back some bands, say x. (2*40 + (8 – x)*60)/(10 – x) = 52 On solving, you get x = 5 So she puts back 5 bands so that the average price is 52. Answer (E) Obviously, there is only one correct answer. It’s your job to figure out whether it is (B) or (E) or some third option. Also what’s wrong with one or both of these solutions? 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! 
FROM Veritas Prep Blog: Three Essential GMAT Problem Solving Strategies 
Vanilla Ice is famous for many reasons, but perhaps most of all for his lyric “If there was a problem, yo, I’ll solve it…” (Check out the hook while his DJ revolves it). With the right mindset and strategies, you, too, can be ice cold under pressure and a master problem solver on the GMAT. Consider these three essential GMAT problem solving strategies: 1) Look Out Below The answer choices in a Problem Solving question are assets, so look below the question at the answer choices before you simply begin calculating. Often the answer choices contain clues or shortcuts that will vastly decrease the amount of time/energy you need to spend on a problem. Consider the question: What is the square root of 2209? (A) 31 (B) 33 (C) 37 (D) 47 (E) 53 Actually calculating the square root of 2209 is a monster process, and you’re not allowed to bring your trusty slide rule to the test center! But a glance at the answer choices should reveal that your options are limited – you don’t have to create this number from scratch. You can first eliminate A, because 31*31 will end in a 1, and you need a number that ends in 3. And for the rest, you can “bracket” the answer choices with convenient math. 33 and 37 are both less than 40, and 40^2 isn’t hard to calculate. It’s 1600, which is too small, so both of those choices are out. Then you’re left with 47 and 53, and they’re bracketed by 50, which when squared is too big: 2500. So 47 is the only plausible answer choice, and you can select it correctly without doing any “hard” math. Other problems allow you the same convenience. Where factoring is involved (fractions and roots, especially), the answer choices let you know your options. If your last step for a problem is: What is the cube root of 243? (A) 3 * cube root 5 (B) 3 * cube root 7 (C) 3 * cube root 9 You don’t have to create that cube root from scratch. You know that you’ll need to turn 243 into something*5, something*7, or something*9 in order to end up with one of those answer choices. So you can test: 243 isn’t divisible by 5, so A is out. It isn’t divisible by 7, so B is out. And it is divisible by 9: it’s 9*27, and 27 has a cube root of 3, so C is correct. Search the answer choices for clues and you’ll find that they often provide you with quite a bit of information and direction. Before you start working on the problem, take a look below at the answers . 2) Answer The Right Question One of the easiest ways for the GMAT to bait you into a wrong answer is to get you to leave your work just one step short, and to employ an answer choice that matches the number at that point. For example, if a problem asks “How many gallons are left in a 15gallon tank if the driver leaves San Diego with a full tank and drives directly to Los Angeles, 200 miles away, using an average of 25 miles per gallon for the trip?” Your first step is to calculate how many gallons were used, so you’ll calculate that 200 miles * 1 gallon/25 miles = 8 gallons. And 8 will be an answer choice. But the question isn’t asking how many gallons were used, it’s how many were left over. And that requires you to subtract 8 gallons from the original 15 to find that 7 remain. The GMAT knows that many examinees aren’t fully comfortable with algebra or calculation, and that it’s a relief when you finally get “an answer” on your scratchwork that matches an answer choice. But the test will penalize you for not recognizing the context of that answer, and will reward those who don’t just “get a number” but also know what that number means. To ensure that you get full credit for your work, make sure to doublecheck your answer against the explicit question being asked; one way to do this is to write a big question mark (?) at the top of your GMAT noteboard so that you’re always looking at a reminder to doublecheck that your answer matches the exact question they asked. The most popular wrong answer to any question on the GMAT is the right answer to the wrong question. Make sure you answer the correct question! 3) Start With What You Know GMAT problem solving questions are wellcrafted to force uncertainty on you. They’re designed to look intimidating or difficult, but also to reward you for leveraging assets to chip away at that uncertainty. For example, consider the problem solving question: &, #, and @ each represents a different digit, and & * # < 10. What is the value of the twodigit number &# if the following multiplication problem is true: &# x #& (note: the x is used here as a symbol for multiplication, not a new variable!) #@# (A) 11 (B) 12 (C) 13 (D) 21 (E) 31 At first glance, this problem looks like nothing you’ve seen before! But you do know some things here. When multiplying twodigit numbers, the first step is to multiply the units digits. And here, # * & provides a units digit of #. How is that true, particularly if as stated above the full product is less than ten? That means that & must equal 1, so that when it multiplies with another number, that other number (&) stays the same. 1 * & = &, so we can prove that & is 1. We also know that the digits must be unique, so choice A is eliminated, and the fact that the & is 1 means that D and E are eliminated (the first digit must be a 1). So that leaves just two options, 12 and 13. And we know that the problem, then, is either 12*21 or 13*31, and we have to have a solution with the units and hundreds digits the same. At this point, we have two quick multiplication problems to do: 12*21 = 252 (this works) 13*31 = 403 (this does not) So the correct answer must be 12. The key is to begin with a first step, taking inventory and advantage of what you know and working from there. Difficult GMAT problem solving questions often hinge on the exam’s knowledge that people are uncomfortable when they can’t see the entire process all at once, but remember that they also have to be written such that many examinees can solve them in 2 minutes. So rest assured that even if you don’t know much, you still know enough to get started. Great test takers always begin by taking what they know and working from there; those who don’t score as well tend to focus more on what they don’t know, and struggle to get started. Getting ready to take the GMAT soon? Veritas Prep has GMAT prep classes starting around the world next week! And, as always, be sure to find us on Facebook and follow us on Twitter! The post Three Essential GMAT Problem Solving Strategies appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: How to Get Into Massachusetts Institute of Technology (MIT) 
Massachusetts Institute of Technology (MIT) is one of the most prestigious universities in the world, located in arguably the most prestigious academic city in the world. Cambridge, Massachusetts, is also home to Harvard. If you’re looking to apply to MIT you’re in great company, but that also means that you’ll have lots of competition. Let’s talk about what you should do if you hope to get into MIT. MIT prioritizes course rigor and scores to filter students into priority groups. If you want your application to land in a top priority review group, aim for perfection. Every school has its unique institutional priorities. For MIT, achieving on a high level in STEM tops the list of priorities. In order to compete for MIT, you will plan to be an exceptional student and excel in a STEM area. Academically, you need to: Aim for 1550 or above on the SAT or 3436 on the ACT. Submit the highest possible, if not perfect scores on SAT Subject Tests. Aim for an 800 on the SAT Subject Tests you plan to submit. Avoid submitting SAT Subject Test scores under 700. Take a minimum of 2 SAT Subject Tests for MIT, a requirement. MIT requires: 1 Math SAT Subject Test: Math 1 or Math 2 (optimally, take Math 2) 1 Science SAT Subject Test. Choose from Biology, Chemistry or Physics. While many students take between 78 Subject Tests over the course of 2 years to submit, you don’t have to take that number of tests to be competitive. Be sure to take at least the required 2. Extracurricularly, you need to: As a baseline, all students who plan to apply to MIT should prepare for and take the AMC qualifying exam in January or February. For math lovers, put your strong math side forward. Explore math competitions and work to complete at a high level. Consider engaging in the competitions below: American Mathematics Competitions (AMC 8, AMC 10, AMC 12, AIME, USAMO, USAJMO) American Regions Mathematics League (ARML) HarvardMIT Math Tournament (HMMT) High School Mathematical Contest in Modeling (HiMCM) International Mathematics Olympiad (IMO) Math Prize for Girls MATHCOUNTS USA Mathematical Talent Search (USAMTS) MIT asks students for AMC results and cares about AMC. Everything from AMC to International Math Olympiad to Regeneron or ISEF, MIT wants to see results. Pursue math classes to prep for AMC. MIT asks for AMC results on its application. That’s just how important they think this test is. If you really love math or computer science and think you can do well on the AMC test if you prepare, go ahead and take some classes that can help you. Math camps over the summer are especially geared toward some of the higher level math learning one might need to pursue AMC. Consider applying to these camps as early as December and January the winter before: Awesome Math Stanford SUMAC Ohio State University – Ross Mathematics Program Program in Mathematics for Young Scientists (PROMYS) Hampshire College Summer Studies in Mathematics (HCSSIM) Canada/USA Mathcamp Texas Honors Mathworks MIT Research Science Institute For science lovers, work to compete in sciencebased competitions, awards and tests. If math isn’t your thing, prep for a science Olympiad qualifying exam in the spring. If you make it, it’s all upside. If you don’t, you can always try again next year. Google Science Fair Intel International Science and Engineering Fair (ISEF) Regeneron Science Talent Search Davidson Fellows Award International Chemistry Olympiad (IChO) International Physics Olympiad USA Biology Olympiad Conrad Challenge President’s Environmental Youth Awards Stockholm Junior Water Prize FIRST Robotics Competition Junior Science and Humanities Symposia MIT THINK Scholars Program Show collaboration. Students who have winning stories of robotics team or Technology Student Association, should share results. If you have worked together with a group to build a catapult or engineer an important solution to a critical problem, highlighting your collaborative nature in your application is key! Submit a portfolio. MIT offers budding engineers an opportunity to submit maker portfolios. Demonstrate a sense of humor. (MIT students are notorious for their pranks) Show a funny bone and even highlight some quirky interests! Take a risk on that application. Being funny and showing a science or math humor can offer an advantage. Be interesting! If you get on the waitlist, consider it a waiting room, in which you want to be “close to the door” when they open it to let people in. Work like crazy to get off that list! MIT waitlists broadly, but their waitlist will move. For international students: If you are applying from outside of the US and have not won major competitions in your city, country, or region, consider applying broadly and develop a list of schools where the numbers are on your side. Last year MIT admitted a mere 87 international students. The year before, the numbers were not much better with 115 students accepted. The post How to Get Into Massachusetts Institute of Technology (MIT) appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: 6 Reasons to Consider an MBA 
What do you want to achieve? An increase in your earning power? A boost to your career? A career switch? Well, an MBA can help you do all these things, and more. Nowadays MBA aspirants can choose from a wide pool of programs, both in the US and abroad, that have the potential to open many doors and offer countless opportunities for career advancement. Here are six reasons why you should give enrolling in an MBA program serious thought if you want to grow as a business leader. Sign up for free for an exclusive MBA OnetoOne event in a city near you! (Not only) financial gains Many business professionals are drawn to the MBA degree by the generous return on investment (ROI) it promises. The numbers are indeed impressive. For instance, the median salary of business school alumni working at midlevel positions in the US is USD 105,000 and at the executive level the median salary is USD 185,000, according to the 2018 BSchool Alumni Employment Report released by GMAC. Salaries vary across the schools, of course, with alumni from some institutions earning much more than the average amount. Graduates from Stanford School of Business earn USD 225,589 three years after graduation, which represents a 117% increase from their preMBA salaries, according to data collected by the Financial Times in 2019. Graduates from McGill University: Desautels earn USD 197,089 on average after three years, up 123%. ROI is indeed a useful indicator, but the metric does not reflect the true quality of the degree. The MBA is more than the sum of its parts. Part of the difficulty in estimating the true ROI arises from the fact that the skills, experience, confidence, and network an MBA graduate gains cannot be reduced to mere figures. Career growth Job opportunities in the US are quite diverse for MBA and EMBA graduates. The good news for business professionals who want to build a career in the country is that the US economy is booming and top companies are open to hiring MBA alumni. However, obtaining an MBA degree does not necessarily mean that you are predestined to work for a corporation. More and more graduates are choosing to strike out on their own and found a startup. At MBA level, entrepreneurship training is now offered either as an option within a general MBA or as a specialist MBA in its own right. Network expansion For many prospective MBA students, the networking opportunities are as valuable as the MBA designation itself. When choosing to pursue an MBA, perhaps one of the most vital aspects that you need to consider is the networking opportunities that you will have access to. The MBA degree is in a category of its own when it comes to networking. Not only do business schools strongly encourage it, but they also attempt to facilitate it after graduation. Employers value your enhanced skill set One of the MBA’s outstanding features is its ability to equip students with a toolkit containing the most vital hard and soft skills necessary for them to succeed in today’s world of business. Employers overwhelmingly agree that business school graduates are prepared to be successful at their companies, according to the 2019 Corporate Recruiters Survey by GMAC. The survey also shows that employers are particularly pleased with the way schools are addressing the current soft skills gap. Change of direction The desire to change the course of their career is among the most common reasons why people choose to enroll in an MBA program. It has indeed been shown to be a successful strategy, as more often than not a business degree provides a number of benefits in this respect: it allows you to immerse yourself for one or two years in a totally new environment where you think, dream, and devise strategies for your new professional endeavor. You will have access to case studies to prepare for your new career, sometimes more useful than one or two years of actual experience in the field. You will be able to benefit from the experience and acumen of some of the greatest minds in business. Your peers will offer inspiration in terms of exchanged knowledge, breadth of scope, diversity, experience, and different business approaches. International experience at home and abroad No matter whether you choose to study at home or abroad, most MBA programs strive to expose participants to different global perspectives and different ways of doing business. Professionals know that to succeed in today’s environment they need to be aware of the complexities of business in an international setting. The ability to work effectively in multiple cultures has become indispensable in the contemporary workplace. Choosing an MBA at home or abroad largely depends on your goals. If you want to gain a more nuanced understanding of global business and truly get out of your comfort zone, maybe it is worth casting a wider net to include schools outside your home country. The diversity of MBA programs around the globe is growing, and so are your chances of taking your career to the next level. Top ranked business schools are coming soon to a city near you to meet qualified MBA applicants. Sign up now to meet admissions officers OnetoOne in Miami, New York, San Francisco and Los Angeles! This post was written by Access MBA, a Veritas Prep promotional partner that cohosts informational MBA events with admissions officers from top business schools. The post 6 Reasons to Consider an MBA appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: Coronavirus and the MBA 
Like many other parts of society, the business school process has been completely upended with the spread of coronavirus. Schools are struggling to make contingency plans, admitted students are questioning whether they should defer or even attend school at all, and prospective students are contemplating if they should be leaving their job in such an uncertain time. In future blogs, we’ll explore what business school under quarantine might look like, how to enter a job market during a recession and other coronavirus adjacent topics, but in the meantime, it’s always helpful in a crisis to go back to some core principles about business school and see how they hold up. If you are already applying to business school, hopefully you’ve established these already; if you haven’t, it is a good time to better understand some of the fundamental reasons why you might want to go to school. Reason #1: Business school will help me build my network Regardless of the coronavirus pandemic, your network will expand as a result of business school. Even in a virtual setting, you will be surrounded and working closely with dozens of peers with similar interests and aspirations. Naturally, you’ll connect with some and grow your network. In a distance learning environment – which might be a possibility for at least some of your bschool career – the ways in which and extent to which those networks form may be different. But rest assured that schools have a vested interest in working hard to develop innovative techniques to help students form those bonds, and often it’s the process of going through a challenging experience with others that forms the tightest and most lasting connections. Reason #2: Business school will give me a stronger business education Remote learning is nothing new. Many strong schools already provide online classes – or even entirely virtual curriculums – and the education is similar to what you would gain in a traditional classroom environment. The important thing to know is that schools have already gone through this transition and they are ready, so your knowledge shouldn’t suffer. Reason #3: Business school will help me further my career This principle is where your mileage may vary, dependent upon where you are in your career and what the economy does while you’re in school. The COVID recession has thrown some uncertainty into the job market with record job losses thus far in 2020. However, for one, if you’re reading this right now you’re not graduating in 2020 so you’re looking at an uncertain job market upon graduation, but not necessarily a down market. And secondly, we fully expect schools to put extra investment into career services programs to aid the classes of 2020 and 2021. In past recessions, schools have done proactive work with alums to help current students find opportunities. And note that the time horizon may do you some favors; while the summer of 2020 is absolutely a tight job market and growth might be hard to come by in the nearterm, someone planning to graduate with an MBA in 2022 or 2023 may be coming out into a period of economic growth. As any financial planner would tell you, of course, don’t try to time the market. But if you don’t love your career prospects at the moment, business school is a great place to spend two years upgrading your skill set while the labor market gets sorted out. While the coronavirus pandemic is making us rethink a lot, it is important to not let panic set in and try to remember why (or why not) you are applying or attending business school. If you continue to reanalyze those factors as the environment changes, you’ll be prepared to make a good decision. The post Coronavirus and the MBA appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: The Pythagorean Triples Properties You’ll See on the GMAT 
Today, let’s discuss a few useful properties of primitive Pythagorean triples. A primitive Pythagorean triple is one in which a, b and c (the length of the two legs and the hypotenuse, respectively) are coprime. So, for example, (3, 4, 5) is a primitive Pythagorean triple while its multiple, (6, 8, 10), is not. Now, without further ado, here are the properties of primitive Pythagorean triples that you’ll probably encounter on the GMAT: I. One of a and b is odd and the other is even. II. From property I, we can then say that c is odd. III. Exactly one of a, b is divisible by 3. IV. Exactly one of a, b is divisible by 4. V. Exactly one of a, b, c is divisible by 5. If you keep in mind the first primitive Pythagorean triple that we used as an example (3, 4, 5), it is very easy to remember all these properties. If we look at some other examples: (3, 4, 5), (5, 12, 13), (8, 15, 17) (7, 24, 25) (20, 21, 29) (12, 35, 37) (9, 40, 41) (28, 45, 53) (11, 60, 61) (16, 63, 65) (33, 56, 65) (48, 55, 73), etc. we will see that these properties hold for all primitive Pythagorean triples. Now, let’s take a look at an example GMAT question which can be easily solved if we know these properties: The three sides of a triangle have lengths p, q and r, each an integer. Is this triangle a right triangle? Statement 1: The perimeter of the triangle is an odd integer. Statement 2: If the triangle’s area is doubled, the result is not an integer. We know that the three sides of the triangle are all integers. So if the triangle is a right triangle, the three sides will represent a Pythagorean triple. Given that p, q and r are all integers, let’s use the properties of primitive Pythagorean triples to break down each of the statements. Statement 1: The perimeter of the triangle is an odd integer. Looking at the properties above, we know that a primitive Pythagorean triple can be represented as: (Odd, Even, Odd) (The first two are interchangeable.) Nonprimitive triples are made by multiplying each member of the primitive triple by an integer n greater than 1. Depending on whether n is odd or even, the three sides can be represented as: (Odd*Odd, Even*Odd, Odd*Odd) = (Odd, Even, Odd) or (Odd*Even, Even*Even, Odd*Even) = (Even, Even, Even) However, the perimeter of a right triangle can never be odd because: Odd + Even + Odd = Even Even + Even + Even = Even Hence, the perimeter will be even in all cases. (If the perimeter of the given triangle is odd, we can say for sure that it is not a right triangle.) This statement alone is sufficient. Statement 2: If the triangle’s area is doubled, the result is not an integer. If p, q and r are the sides of a right triangle such that r is the hypotenuse (the hypotenuse could actually be either p, q, or r but for the sake of this example, let’s say it’s r), we can say that: The area of this triangle = (1/2)*p*q and Double of area of this triangle = p*q Double the area of the triangle has to be an integer because we are given that both p and q are integers, but this statement tells us that this is not an integer. In that case, this triangle cannot be a right triangle. If the triangle is not a right triangle, double the area would be the base * the altitude, and the altitude would not be an integer in this case. This statement alone is sufficient, too. Therefore, our answer is D. As you can see, understanding the special properties of primitive Pythagorean triples can come in handy on the GMAT – especially in tackling complicated geometry questions. 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 The Pythagorean Triples Properties You’ll See on the GMAT appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: The Pythagorean Triples Properties You’ll See on the GMAT 
Today, let’s discuss a few useful properties of primitive Pythagorean triples. A primitive Pythagorean triple is one in which a, b and c (the length of the two legs and the hypotenuse, respectively) are coprime. So, for example, (3, 4, 5) is a primitive Pythagorean triple while its multiple, (6, 8, 10), is not. Now, without further ado, here are the properties of primitive Pythagorean triples that you’ll probably encounter on the GMAT: I. One of a and b is odd and the other is even. II. From property I, we can then say that c is odd. III. Exactly one of a, b is divisible by 3. IV. Exactly one of a, b is divisible by 4. V. Exactly one of a, b, c is divisible by 5. If you keep in mind the first primitive Pythagorean triple that we used as an example (3, 4, 5), it is very easy to remember all these properties. If we look at some other examples: (3, 4, 5), (5, 12, 13), (8, 15, 17) (7, 24, 25) (20, 21, 29) (12, 35, 37) (9, 40, 41) (28, 45, 53) (11, 60, 61) (16, 63, 65) (33, 56, 65) (48, 55, 73), etc. we will see that these properties hold for all primitive Pythagorean triples. Now, let’s take a look at an example GMAT question which can be easily solved if we know these properties: The three sides of a triangle have lengths p, q and r, each an integer. Is this triangle a right triangle? Statement 1: The perimeter of the triangle is an odd integer. Statement 2: If the triangle’s area is doubled, the result is not an integer. We know that the three sides of the triangle are all integers. So if the triangle is a right triangle, the three sides will represent a Pythagorean triple. Given that p, q and r are all integers, let’s use the properties of primitive Pythagorean triples to break down each of the statements. Statement 1: The perimeter of the triangle is an odd integer. Looking at the properties above, we know that a primitive Pythagorean triple can be represented as: (Odd, Even, Odd) (The first two are interchangeable.) Nonprimitive triples are made by multiplying each member of the primitive triple by an integer n greater than 1. Depending on whether n is odd or even, the three sides can be represented as: (Odd*Odd, Even*Odd, Odd*Odd) = (Odd, Even, Odd) or (Odd*Even, Even*Even, Odd*Even) = (Even, Even, Even) However, the perimeter of a right triangle can never be odd because: Odd + Even + Odd = Even Even + Even + Even = Even Hence, the perimeter will be even in all cases. (If the perimeter of the given triangle is odd, we can say for sure that it is not a right triangle.) This statement alone is sufficient. Statement 2: If the triangle’s area is doubled, the result is not an integer. If p, q and r are the sides of a right triangle such that r is the hypotenuse (the hypotenuse could actually be either p, q, or r but for the sake of this example, let’s say it’s r), we can say that: The area of this triangle = (1/2)*p*q and Double of area of this triangle = p*q Double the area of the triangle has to be an integer because we are given that both p and q are integers, but this statement tells us that this is not an integer. In that case, this triangle cannot be a right triangle. If the triangle is not a right triangle, double the area would be the base * the altitude, and the altitude would not be an integer in this case. This statement alone is sufficient, too. Therefore, our answer is D. As you can see, understanding the special properties of primitive Pythagorean triples can come in handy on the GMAT – especially in tackling complicated geometry questions. 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 The Pythagorean Triples Properties You’ll See on the GMAT appeared first on Veritas Prep Blog. 
FROM Veritas Prep Blog: The Pythagorean Triples Properties You’ll See on the GMAT 
Today, let’s discuss a few useful properties of primitive Pythagorean triples. A primitive Pythagorean triple is one in which a, b and c (the length of the two legs and the hypotenuse, respectively) are coprime. So, for example, (3, 4, 5) is a primitive Pythagorean triple while its multiple, (6, 8, 10), is not. Now, without further ado, here are the properties of primitive Pythagorean triples that you’ll probably encounter on the GMAT: I. One of a and b is odd and the other is even. II. From property I, we can then say that c is odd. III. Exactly one of a, b is divisible by 3. IV. Exactly one of a, b is divisible by 4. V. Exactly one of a, b, c is divisible by 5. If you keep in mind the first primitive Pythagorean triple that we used as an example (3, 4, 5), it is very easy to remember all these properties. If we look at some other examples: (3, 4, 5), (5, 12, 13), (8, 15, 17) (7, 24, 25) (20, 21, 29) (12, 35, 37) (9, 40, 41) (28, 45, 53) (11, 60, 61) (16, 63, 65) (33, 56, 65) (48, 55, 73), etc. we will see that these properties hold for all primitive Pythagorean triples. Now, let’s take a look at an example GMAT question which can be easily solved if we know these properties: The three sides of a triangle have lengths p, q and r, each an integer. Is this triangle a right triangle? Statement 1: The perimeter of the triangle is an odd integer. Statement 2: If the triangle’s area is doubled, the result is not an integer. We know that the three sides of the triangle are all integers. So if the triangle is a right triangle, the three sides will represent a Pythagorean triple. Given that p, q and r are all integers, let’s use the properties of primitive Pythagorean triples to break down each of the statements. Statement 1: The perimeter of the triangle is an odd integer. Looking at the properties above, we know that a primitive Pythagorean triple can be represented as: (Odd, Even, Odd) (The first two are interchangeable.) Nonprimitive triples are made by multiplying each member of the primitive triple by an integer n greater than 1. Depending on whether n is odd or even, the three sides can be represented as: (Odd*Odd, Even*Odd, Odd*Odd) = (Odd, Even, Odd) or (Odd*Even, Even*Even, Odd*Even) = (Even, Even, Even) However, the perimeter of a right triangle can never be odd because: Odd + Even + Odd = Even Even + Even + Even = Even Hence, the perimeter will be even in all cases. (If the perimeter of the given triangle is odd, we can say for sure that it is not a right triangle.) This statement alone is sufficient. Statement 2: If the triangle’s area is doubled, the result is not an integer. If p, q and r are the sides of a right triangle such that r is the hypotenuse (the hypotenuse could actually be either p, q, or r but for the sake of this example, let’s say it’s r), we can say that: The area of this triangle = (1/2)*p*q and Double of area of this triangle = p*q Double the area of the triangle has to be an integer because we are given that both p and q are integers, but this statement tells us that this is not an integer. In that case, this triangle cannot be a right triangle. If the triangle is not a right triangle, double the area would be the base * the altitude, and the altitude would not be an integer in this case. This statement alone is sufficient, too. Therefore, our answer is D. As you can see, understanding the special properties of primitive Pythagorean triples can come in handy on the GMAT – especially in tackling complicated geometry questions. 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 The Pythagorean Triples Properties You’ll See on the GMAT appeared first on Veritas Prep Blog. 

