GMAT Problem Solving Strategy: Test Cases
If you’re going to do a great job on the GMAT, then you’ve got to know how to Test Cases. This strategy will help you on countless quant problems.
This technique is especially useful for Data Sufficiency problems, but you can also use it on some Problem Solving problems, like the GMATPrep® problem below. Give yourself about 2 minutes. Go!
* “For which of the following functions f is f(x) = f(1 – x) for all x?
(A) | f(x) = 1 – x |
(B) | f(x) = 1 – x2 |
(C) | f(x) = x2 – (1 – x)2 |
(D) | f(x) = x2(1 – x)2 |
(E) | f(x) = x / (1 – x)” |
Testing Cases is mostly what it sounds like: you will test various possible scenarios in order to narrow down the answer choices until you get to the one right answer. What’s the common characteristic that signals you can use this technique on problem solving?
The most common language will be something like “Which of the following must be true?” (or “could be true”).
The above problem doesn’t have that language, but it does have a variation: you need to find the answer choice for which the given equation is true “for all x,” which is the equivalent of asking for which answer choice the given equation is always, or must be, true.
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GMAT, GRE, and LSAT Instructor Auditions: Decision In A Day (NYC April 12th)
Manhattan Prep offers instructors flexible hours and great pay ($100/hour for all teaching and $116/hour for all tutoring). As a Manhattan Prep instructor, you will have autonomy in the classroom, but you will also be joining an incredibly talented and diverse network of people. We support our instructors by providing students, space, training, and an array of curricular resources.
Our regular instructor audition process, which consists of a series of videos and mini lessons, usually takes weeks, even months, to complete. Through this process we winnow an applicant pool of hundreds down to a few people each year.
We are offering a one-day event on April 12th for teachers interested in working with us. Candidates who attend will receive a decision that day. The event will take place at our company headquarters at 138 West 25th St., 7th Floor, in Manhattan, New York City. It is open to candidates who live in the tri-state area, have taught before, and are experts in the GMAT, LSAT, or GRE.
The day will include several rounds of lessons, as well as other activities. Each round will be pass / fail. The day will begin at 10:30 am. It may last as late as 5:30 pm for those who make it through the final round. Candidates will need to prepare lessons for some rounds; we will send more detailed instructions to candidates when they sign up for the event.
To register, please email Yanilda at auditions@manhattanprep.com by Wednesday, April 12. Please include in your email a resume including your teaching experience and a score report.
How to Switch from the GRE to the GMAT
Lately, we’ve been talking about how to decide which test to take, as well as what to do if you decide to switch from the GRE to the GMAT? That’s what we’ll tackle today! (We have also talked about what to do if you want to switch from the GMAT to the GRE.) Read more
How to Switch from the GMAT to the GRE
Did you know that you can attend the first session of any of our online or in-person GMAT courses absolutely free? We’re not kidding! Check out our upcoming courses here.
Lately, we’ve been talking about how to decide which test to take, as well as what to do if you decide to stick with the GMAT. What if you decide to switch from the GMAT to the GRE? That’s what we’ll tackle today! (Next time, we’ll talk about what to do if you want to switch from the GRE to the GMAT.) Read more
B-School News: US News 2016 MBA Rankings Released
U.S. News & World Report today released the 2016 Best Graduate School rankings. As our friends at mbaMission have reminded us, all rankings should be approached with skepticism. “Fit” (be it academic, personal, or professional) is a far more important factor when choosing a school.
That said, here’s how the top 15 American business schools stack up this round:
1. Stanford University
2. Harvard University
3. University of Pennsylvania (Wharton)
4. University of Chicago (Booth)
5. Massachusetts Institute of Technology (Sloan)
6. Northwestern University (Kellogg)
7. University of California, Berkeley (Haas)
8. Columbia University
9. Dartmouth College (Tuck)
10. University of Virginia (Darden)
11. New York University (Stern)
11. University of Michigan, Ann Arbor (Ross)
13. Duke University (Fuqua)
13. Yale University
15. University of California, Los Angeles (Anderson)
See the full list and check out the rankings by MBA programs and specialties, here.
Free Webinar Series: 5 Steps to Your Dream MBA
Are You Prepared for B-School Admissions?
Join Manhattan GMAT and two other leaders in the MBA admissions space— mbaMission and MBA Career Coaches
—for an invaluable series of free workshops to help you put together a successful MBA application, from your GMAT score to application essays to admissions interviews to post-acceptance internships. We hope you will join us for as many events in this series as you can. Please sign up for each sessions separately via the links below—space is limited.
Session 1: Assessing Your MBA Profile and GMAT vs. GRE
Tuesday, March 24, 2015 (7:30- 9:00 PM EDT) SIGN UP HERE
Session 2: Selecting Your Target MBA Program and How
to Study for the GMAT in Two Weeks
Tuesday, March 31, 2015 (7:30- 9:00 PM EDT) SIGN UP HERE
Session 3: Writing Standout B-School Admissions Essays
and Advanced GMAT: 700+ Level Sentence Correction
Tuesday, April 7, 2015 (7:30- 9:00 PM EDT) SIGN UP HERE
Session 4: Five Pre-MBA Steps to Landing Your Dream Internship and
Advanced GMAT: 700+ Level Quant Strategy
Tuesday, April 14, 2015 (7:30- 9:00 PM EDT) SIGN UP HERE
Session 5: Questions and Answers with MBA Admissions Officers
Tuesday, April 21, 2015 (7:30- 9:00 PM EDT) SIGN UP HERE
Upcoming Event: Access MBA Tour (Montreal, Toronto, & Vancouver)
Want a Better GMAT Score? Go to Sleep!
This is going to be a short post. It will also possibly have the biggest impact on your study of anything you do all day (or all month!).
When people ramp up to study for the GMAT, they typically find the time to study by cutting down on other activities—no more Thursday night happy hour with the gang or Sunday brunch with the family until the test is over.
There are two activities, though, that you should never cut—and, unfortunately, I talk to students every day who do cut these two activities. I hear this so much that I abandoned what I was going to cover today and wrote this instead. We’re not going to cover any problems or discuss specific test strategies in this article. We’re going to discuss something infinitely more important!
#1: You must get a full night’s sleep
Period. Never cut your sleep in order to study for this test. NEVER.
Your brain does not work as well when trying to function on less sleep than it needs. You know this already. Think back to those times that you pulled an all-nighter to study for a final or get a client presentation out the door. You may have felt as though you were flying high in the moment, adrenaline coursing through your veins. Afterwards, though, your brain felt fuzzy and slow. Worse, you don’t really have great memories of exactly what you did—maybe you did okay on the test that morning, but afterwards, it was as though you’d never studied the material at all.
There are two broad (and very negative) symptoms of this mental fatigue that you need to avoid when studying for the GMAT (and doing other mentally-taxing things in life). First, when you are mentally fatigued, you can’t function as well as normal in the moment. You’re going to make more careless mistakes and you’re just going to think more slowly and painfully than usual.
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When Your High School Algebra is Wrong: How the GMAT Breaks Systems of Equations Rules
If you have two equations, you can solve for two variables.
This rule is a cornerstone of algebra. It’s how we solve for values when we’re given a relationship between two unknowns:
If I can buy 2 kumquats and 3 rutabagas for $16, and 3 kumquats and 1 rutabaga for $9, how much does 1 kumquat cost?
We set up two equations:
2k + 4r = 16
3k + r = 9
Then we can use either substitution or elimination to solve. (Try it out yourself; answer* below).
On the GMAT, you’ll be using the “2 equations à 2 variables” rule to solve for a lot of word problems like the one above, especially in Problem Solving. Be careful, though! On the GMAT this rule doesn’t always apply, especially in Data Sufficiency. Here are some sneaky exceptions to the rule…
2 Equations aren’t always 2 equations
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Tackling Max/Min Statistics on the GMAT (part 3)
Welcome to our third and final installment dedicated to those pesky maximize / minimize quant problems. If you haven’t yet reviewed the earlier installments, start with part 1 and work your way back up to this post.
I’d originally intended to do just a two-part series, but I found another GMATPrep® problem (from the free tests) covering this topic, so here you go:
“A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set?
“(A) 32
“(B) 37
“(C) 40
“(D) 43
“(E) 50”
Here’s the general process for answering quant questions—a process designed to make sure that you understand what’s going on and come up with the best plan before you dive in and solve:
Fifteen integers…that’s a little annoying because I don’t literally want to draw 15 blanks for 15 numbers. How can I shortcut this while still making sure that I’m not missing anything or causing myself to make a careless mistake?
Hmm. I could just work backwards: start from the answers and see what works. In this case, I’d want to start with answer (E), 50, since the problem asks for the greatest possible integer.
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