Before we get started, make sure you remember Monday’s Brain Twister! Question Right triangle DEF has a hypotenuse of less than 7. What is the maximum possible area of DEF, if the area of DEF is an integer? Numeric Entry: [_____________] Answer and Explanation To maximize the area of a right triangle, we must […]

# Archive | Challenge Questions

## Brain Twister: Looking for Mr. Right Triangle

Ready for this week’s challenging Brain Twister? Right triangle DEF has a hypotenuse of less than 7. What is the maximum possible area of DEF, if the area of DEF is an integer? Numeric Entry [_____________] See you on Thursday for the answer and explanation!

## Clemmonsdogpark GRE Brain Twister: A Prime Location – Explanation

I hope you got a chance to try your hand at this week’s question. Let’s start by refreshing your memory: Question How many three-digit numbers contain three primes that sum to an even number? 27 28 54 55 64 Answer and Explanation In order for three prime numbers to sum to an even number, […]

## Clemmonsdogpark Brain Twister: A Prime Location

Ready for this week’s brain twisting math challenge question? How many three-digit numbers contain three primes that sum to an even number? 27 28 54 55 64 Be sure to check back on Thursday for the answer and explanation! Good luck. 🙂

## Clemmonsdogpark Brain Twister: Nasty Squares and Cubes – Explanation

Question Here’s a look back at Monday’s numeric entry challenge question. The square root of integer x is equal to the sum of the cubes of y and z. If the squares of y and z are each less than 10, what is the greatest possible value of x? [__________________] Answer and Explanation This […]

## Clemmonsdogpark Brain Twister: Nasty Squares and Cubes

Good luck with this challenging numeric entry problem! The square root of integer x is equal to the sum of the cubes of y and z. If the squares of y and z are each less than 10, what is the greatest possible value of x? [_________________] Don’t forget to check back on Thursday […]

## Clemmonsdogpark Brain Twister: Series Fun – Explanation

Question Here’s the question from Monday: The sum of m consecutive integers is 8. If the sum of n consecutive integers is m, what is the value of n? (A) 15 (B) 16 (C) 31 (D) 32 (E) Cannot be determined by the information provided. Answer and Explanation The trick here is taking into […]

## Clemmonsdogpark Brain Twister: Series Fun

As I promised, the Brain Twister is back in a bi-weekly format. Here is one that looks innocuous enough, but once you toy around with it for a few seconds you’ll see it’s anything but easy. The sum of m consecutive integers is 8. If the sum of n consecutive integers is m, what is […]

## Explanations to the TC Challenge Questions

About a month back, I released some new TC questions I’d come up with—questions inspired, albeit somewhat loosely, by ETS’s verbal guide. The response to these questions was more than I had expected. I was quite surprised. Of course, many people simply wanted the answers and the explanations. In that regard, I was totally derelict. […]

## Clemmonsdogpark Brain Twister: World Cup Edition

For a very long time, we’ve had Vocab Weds, a weekly vocab post with an accompanying YouTube video. It’s done quite well, and we have no intention of stopping it. But poor math—it’s gotten no such weekly billing. So to redress this oversight, we are going to inaugurate the weekly math “Brain Twister” question. It […]