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:

In XYZ Building, a flight of stairs connects each floor to the next, and each flight of stairs is separated from the next flight by a landing. Josie takes twice as long to climb a flight of stairs at a constant rate as she does to cross a landing at another constant rate. If it takes Josie 13.3 minutes to climb 7 flights of stairs and cross the landings between flights, not counting the landings at either end, how long will it take her to climb 10 flights and cross the intervening landings (again not counting landings at either end) at the same rate of travel?

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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 ratio, by weight, of the four ingredients A, B, C, and D of a certain mixture is 4:7:8:12. The mixture will be changed so that the ratio of A to C is quadrupled and the ratio of A to D is decreased. The ratio of A to B will be held constant. If B will constitute 20% of the weight of the new mixture, by approximately what percent will the ratio of A to D be decreased?

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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 difference between positive two-digit integer A and the smaller two-digit integer B is twice A‘s units digit. What is the hundreds digit of the product of A and B?

(1) The tens digit of A is prime.

(2) Ten is not divisible by the tens digit of A.

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About 2 years ago, one of our L.A. Instructors, Mike Kim, suggested that we provide a math curriculum  for students who want a refresher on fundamental math topics (e.g.  fractions, algebra, etc.).  We thought it was a fantastic idea.  Being an extraordinarily productive guy, Mike went on to author the Foundations of GMAT Math Workshops I and II which take place online (it turns out there are too many fundamental math topics to teach in one sitting).

Now, the Foundations of Math Workshops will be available for free to any Manhattan GMAT course student.  If you are a course student, you can simply go to the website and add the Foundations workshops to your account.  You will immediately receive access to dozens of practice problems in your student center as well as class recordings, and you can attend the next scheduled Foundations workshops live.

For non-students, the Foundations of Math Workshops will each be available for only $95.  Additionally, if you end up signing up for a course after taking the Workshops, we’ll credit you whatever you spent on the workshops, so they’ll essentially wind up being free for you too.

Remember, these workshops review foundational math topics such as algebra, basic geometry, fractions, etc.  They’re very useful if you need a refresher because you haven’t seen the math in a long while, but if you’re comfortable with the math already you can feel free to go straight to the Official Guides, Strategy Guides, etc.

P.S.  The Foundations of GMAT Math Book is due out this Fall, as Mike’s original idea is taking multiple forms to reach as many people as possible.