Math BeastEach 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?

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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 ( 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)
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Math BeastEach 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?

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Not all reading comprehension passages are the long boring ones that everyone hates; we also see quite short passages that are perhaps more appropriately called arguments. We can then be asked to strengthen or weaken the conclusion, find the conclusion, articulate the role of a specific piece of information, and so on. Today we’re going to talk about how to Weaken a conclusion.

We’re going to use the analysis process that we discussed in a previous article; please take a look at that article first if you haven’t already.

We want to average about 1.5 to 2 minutes on RC questions in general, so set your timer for either 1.5 minutes (if RC is a strength) or 2 minutes (if RC is a weakness). (© ManhattanPrep).

Universal preschool is a misguide use of public funds. This early academic focus will undermine the social, emotional, and mental development associated with a carefree early childhood. Furthermore, the economic burden on the state to fund such an ambitious undertaking will be overwhelming in both the short-term and long-term, since the state has no way to offset the program’s costs.

Which of the following, if true, most weakens the idea that universal preschool will be an economic burden on the state?

(A) Students who attend preschool are more likely to complete high school than students who do not attend preschool.

(B) Preschool educated children fare much better in kindergarten than do children without preschool.

(C) Part of the high cost of universal preschool stems from its requirement that preschool teachers have a bachelor’s degree and a teaching credential.

(D) The taxes necessary to fund universal preschool can come from a variety of sources, including property taxes and bond measures.

(E) Students who attend preschool are less likely to require special education, an expensive public service.

The first thing everybody does is check the answer “ so I’ll tell you that the answer is E. Even if you answered correctly, though, you’re not done! You still need to analyze the problem. : )

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.

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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 SparrowThe 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.

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