The Math Beast Challenge Problem of the Week – August 20th, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.
The volume of a chemical solution in a tank is described by the formula , where k is a constant, T is the temperature, c is the concentration of the chemical solution, and p is the atmospheric pressure. The solution in the tank can be either hot or cold. When hot, c is half of what it is when cold, p is double what it is when cold, and T is triple what it is when cold.
If the tank can be no more than full when hot for safety reasons, what is the maximum fraction of capacity to which the tank can be filled when the solution is cold?
How To Make The Best Memories: Tips To Optimize Your Memory Abilities
How much did you study for the GRE this past week-end? For how many hours? Over how many sittings? What did you study and how did you study it?
Most importantly: how many breaks did you take and how long were they?
Time Magazine just published a fascinating little article: To Boost Memory, Shut Your Eyes and Relax. Go take a look at it. Don’t worry, I’ll wait. : )
Has this happened to you? You have ambitious plans to study a ton of things this week-end. You get tired, but you’re determined to push through, so you keep studying. You begin to get a bit anxious because you feel you aren’t learning well (and you’re not!), so you study even more. You get even more tired, and that makes it even harder to learn. By the end of the week-end, you’re exhausted, frustrated, and demoralized.
You may have already heard me say this (many times on various forums or in blog posts!), but I’m saying it again because it’s so important: your brain makes better memories when it’s not tired.
The Time article quotes Michaela Dewar, the lead author of a new research study on this topic. She notes that we are at a very early stage of memory formation when we first start to study new information, and further neural processes have to occur after this stage for us to be able to remember this information at a later point in time.
The italics are mine. Note what Ms. Dewar has said: more stuff has to happen in our brains after we have studied this info in order for us to be able to recall that information later on.
Is Mariah Carey’s GRE Vocabulary Better Than Yours?
This incredible post on Gawker catalogues the rather prodigious vocabulary displayed in Mariah Carey’s oeuvre.
The post does seem to be making fun of Carey a bit:
Her lyrics are littered with, as she might say, peculiar words that suggest she is a vocabulary booster enthusiast. She loves her some adverbs. The result is a body of words that are rarely, if ever, heard in pop music.
(What’s a “booster enthusiast”? Considering that one definition of booster — and the only definition that really applies to a person — is “enthusiast,” I think “booster enthusiast” is a bit redundant.)
In any case, I read over the entire list of lyrics, lyrics like:
“I can’t be elusive with you honey / ‘Cause it’s blatant that I’m feeling you”
“Do you care for me beyond idolization?”
“I had a crush on you / Painstakingly I would conceal the truth”
“Keep pressing on steadfastly”
“Thoughts run wild as I sit and rhapsodize”
“After so much suffering I finally found unvarnished truth”
“My defenses start to wane”
… and Mariah Carey is basically using those words correctly.
We think she’d do pretty well on the GRE! At least the verbal part.
Check out the entire list here.
The Math Beast Challenge Problem of the Week – August 13th, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.
The constant rate at which machines A works is of the constant rate at which machine B works. Under normal conditions, machine A would complete x lots in 2 days. However, when a technician attempts to use machines A and B simultaneously, there is not enough electrical power to run both machines at full power. As a result, running the machines simultaneously reduces the work rate of each machine by 20%.
How long will it take the machines to complete 3x lots, working simultaneously?
Friday Links: Innovative Masters Programs, Going to Grad School, and Summer Reading for the GRE
Need some good Friday reads? Take a moment to catch up on some of this week’s top graduate school and GRE-related stories.
Schools Pitch New Degrees at Job-focused Students (MSN Money)
This fall, name-brand schools are launching cross-disciplinary masters programs meant to make students more competitive in a changing economy.
What to Consider When Considering Graduate School (About.com Graduate School)
Thinking about heading to graduate school in the future? Here are some things to consider before you solidify your decision.
Four Ways to Make Good Money While Earning Your Degree (USA TODAY College)
Read more
The Math Beast Challenge Problem of the Week – August 6th, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.
Insurance Plan A requires the patient to pay up to the first $1,600 of any hospital bill plus 12% of the remainder of the bill. Insurance Plan B requires the patient to pay the entire amount of any hospital bill under $2,000; for hospital bills of at least $2,000, the patient pays $2,000 plus another 8% of the entire amount.
The patient would pay the same under either insurance plan for hospital bills of which of the following amounts?
Read Your Way to a Higher Score: Summer Reading Recommendations from our GRE Instructors (2nd Edition)
Did you know that you can attend the first session of any of our online or in-person GRE courses absolutely free? We’re not kidding! Check out our upcoming courses here.
Just over a month ago we had our GRE instructors weigh in on the best books to read this summer if you’re prepping for the GRE (or if you just love a great novel!). We hope that you had the chance to pick up one, two, or all of the books from our first round of recommendations and are hungry for more! With only a few weeks left of summer, we would like to satisfy that hunger with a fresh batch of reading suggestions from our tried and trusted GRE instructors. Bon appétit!
Recommendations from Stacey Koprince:
The Sparrow by Mary Doria Russell: This novel is technically in the science fiction category, mostly because it’s set in the future with some space travel and alien encounters – but it’s much more of a philosophical book dealing with social issues, what happens when two dissimilar communities collide, etc. Lots of great GRE vocab!
Children of God by Mary Doria Russel: This is the sequel to The Sparrow. It is also classified as a science fiction novel and deals with the same issues of faith, morality, etc.
How to Analyze a GRE Reading Comprehension Specific Detail Question
In recent articles, we’ve talked about how to read RC passages and we’ve also discussed how to analyze an RC practice problem when we’re studying. (I recommend reading those articles before you read this, if you haven’t already.)
Today, we’re going to do another question from the Language Power passage (follow the link for the passage!), and we’re going to analyze that question using the how to analyze a problem process. If you haven’t already read this passage (or if it has been a while since you read it), go take a look at the Language Power article first. Give yourself roughly 3 minutes to read through the passage and take notes (not much time!), then read the rest of that article.
Okay, finally, you can get started on this article! Below is the full text of the passage followed by the question (© ManhattanPrep).
Sarah Meyers McGinty, in her new book Power Talk: Using Language to Build Authority and Influence, argues that while the simple lingual act of declaring power does not help a powerless person gain influence, well-considered linguistic techniques and maneuvers do. McGinty does not dispute the importance of factors such as expertise and ability in determining stature, but argues persuasively that these power determinants amount to little in a person unable to communicate effectively. Many surveys have shown that the ability to communicate effectively is the characteristic judged by managers to be most critical in determining promotability in the workplace or an academic environment.
McGinty divides speech into two categories: “language from the center” and “language from the edge”. In McGinty’s words, “Language from the center makes a speaker sound like a leader. McGinty suggests that language from the center is not only for those in high positions of power, but also for those of lower ranks who wish to gain more power and credibility. A speaker using language from the center exhibits the following characteristics: he directs rather than responds; he makes statements rather than asks questions; he contradicts, argues, and disagrees; he uses his experience persuasively; and he maintains an air of impersonality in the workplace. McGinty suggests that the use of language from the center can alter or create a new balance of power. These assertions are supported by studies that show that people accept leadership from those they perceive to be experts.
Language from the edge stands in stark contrast to language from the center. Language from the edge is careful, exploratory, and inquiring. It is inclusive, deferential, and collaborative. A speaker using language from the edge responds rather than directs; asks questions; strives to make others feel heard and protected; and avoids argument. The main purpose of language from the center is to claim authority for a speaker, while language from the edge strives to build consensus and trust. McGinty argues that true power comes from a deep understanding of when to use which style and the ability to use both as necessary.
What distinguishes McGinty’s discussion of effective communication is her focus on communication skills as a way of gaining power; this contrasts with most workplace communication theory, which focuses on communication skills as a way of preventing misunderstandings, avoiding conflict, and fostering interpersonal relationships. McGinty, however, holds that language not only helps maintain relationships but also lends authority. According to Power Talk, effective communication skill is an understanding of how situation shapes speech and how speech shapes situation and an understanding of how speech styles and the forces that affect those styles . . . can build your authority, and enhance your credibility and impact.
According to the passage, McGinty believes that ineffective communication can undermine which of the following power determinants?
(A) experience
(B) stature
(C) expertise
(D) an air of impersonality
(E) confidence
The first thing everybody does is check the answer “ but I’m not going to tell you what it is till later. : )
Now we’re going to analyze our work. I’ve reproduced the questions from the How To Analyze article below, but in a shorter form. I’ve followed the questions with italicized notes. These italics represent what I would think to myself when analyzing this problem.
Note: I’m going to pretend that I chose answer choice D (so I got it wrong!).
1. Did I know WHAT they were trying to test?
Questions: Was I able to categorize this question? Did I comprehend all the words, vocab, concepts, and answer choices? Do I know what I’m supposed to do for questions of this type?
The Math Beast Challenge Problem of the Week – July 30th, 2012
Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.
x and y are positive integers such that 3x y2 = 432.
Quantity A
3xQuantity B
y2
In the News: Grad School Links Roundup
Catch up on your graduate school tips and news with some of this week’s top articles:
How to Strengthen Your Graduate School Application (Happy Schools Blog)
Read about the various elements of the graduate school application and learn how to construct your best application package.
15 Essential Things To Do Before Starting Grad School (USA Today College)
Your summer before grad school should not be an intense one. USA Today College has 15 things you should do to fill the time.
What’s the Role of GPA in Graduate School Admissions? (About.com Graduate School)