Challenge Problem Showdown – January 30th, 2012
We invite you to test your GMAT knowledge for a chance to win! Each week, we will 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 a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
For all positive integers n and m, the function A(n) equals the following product:(1 + 1/2 + 1/22)(1 + 1/3 + 1/32)(1 + 1/5 + 1/52)…(1 + 1/pn + 1/pn2), where pn is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
Challenge Problem Showdown – January 23rd, 2012
We invite you to test your GMAT knowledge for a chance to win! Each week, we will 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 a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
The country of Sinistrograde uses standard digits but writes its numbers from right to left, so that place values are reversed. For instance, 12 means twenty-one. A five-digit code from Sinistrograde is accidentally interpreted from left to right. If all possible five-digit codes (including zeroes in all positions) are equally likely, what is the probability that the code is in fact interpreted correctly?
Challenge Problem Showdown – January 16th, 2012
We invite you to test your GMAT knowledge for a chance to win! Each week, we will 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 a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
If x is positive and not equal to 1, then the product of x1/n for all positive integers n such that 21 ≤ n ≤ 30 is between
Do you want to be a Social Venture Scholar?
We are excited to announce that we are now accepting applications for our Winter 2012 Social Venture Scholars (SVS) program. For those unfamiliar with the program, it was launched in 2007 with the goal of making GMAT prep more accessible to MBA-hopefuls working in the non-profit sector. The very first SVS class was taught by our founder, Zeke Vanderhoek. Over the past 5 years we have run 6 SVS programs and helped dozens of deserving individuals get a step closer to business school. Past SVS students have gone on to gain admission to competitive business schools (such as Columbia and Duke), and have used their degrees to advance and found organizations dedicated to positive social change.
Recipients of our SVS scholarship receive free enrollment into a dedicated Live Online GMAT prep course (a $1090 value). Up to 25 scholarships will be awarded to applicants who (1) currently work full-time in an organization that promotes positive social change, (2) plan to use their MBA to work in a public, not-for-profit, or other venture with a social-change oriented mission, and (3) demonstrate clear financial need. This year’s SVS course will begin on Monday, February 20th.
For complete details and application requirements, visit our Social Venture Scholars page. Applications for the Winter 2012 program are due on February 1st. Good luck!
Challenge Problem Showdown – January 9th, 2012
We invite you to test your GMAT knowledge for a chance to win! Each week, we will 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 a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
If k is a positive integer, which of the following must be divisible by 24?
Friday Links
Here is what happened in the world of GMAT this week…
- Poets and Quants ranked the top 50 Non-U.S. MBA Programs.
- The Wall Street Journal took a look at the finances of Business Schools (subscription required).
- Our friends at mbaMission looked at how an MBA can increase income mobility.
Have a great weekend, everybody!
Challenge Problem Showdown – January 2nd, 2012
We invite you to test your GMAT knowledge for a chance to win! Each week, we will 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 a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
If x and y are both integers chosen at random between 1 and 100, inclusive, what is the approximate probability that x/y is an integer?
Manhattan GMAT Holiday Food Drive
This December, the team at Manhattan Prep ran its first holiday season food & toy drive. Manhattan Prep staff, Instructors and students at our New York City headquarters contributed games, stuffed animals, food items, and spare change to the efforts. In just over two weeks, we collected over 100 items of food, donated to City Harvest, and over 40 toys for Toys for Tots.
The United States Marines’ Toys for Tots program collects toys between October and December every year for children who otherwise wouldn’t have any gifts to open during the holidays. City Harvest, a New York-based nonprofit, collects food year-round to support its many community programs aimed at feeding New York City’s hungry. We’re thrilled to be supporting such worthy organizations. Thanks to all who contributed!
The Next-Gen GMAT: Graphics Interpretation
Recently, GMAC released a new sample question to illustrate Graphics Interpretation questions that we will see when the Next-Generation GMAT is released in June of 2012. At that time, a new Integrated Reasoning (IR) section will be added to the test; you can read more about it in our previous article published here.
Taking the test before then? You won’t see this kind of question on the old school GMAT. Just make sure you leave yourself enough time to take the old-school version a second time in case you don’t like your score the first time around. In other words, don’t plan to take the test for the first time in May of 2012.
Challenge Problem Showdown – December 5th, 2011
We invite you to test your GMAT knowledge for a chance to win! Each week, we will 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 a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
A circle is inscribed within a regular hexagon in such a way that the circle touches all sides of the hexagon at exactly one point per side. Another circle is drawn to connect all the vertices of the hexagon. Expressed as a fraction, what is the ratio of the area of the smaller circle to the area of the larger circle?