Some questions to start: Can a square root be negative? Yes, there is such a thing as a negative square root. How would you deal with negative roots on the GRE? This question is actually fairly complicated, because it depends on how the GRE words the question. Let’s start with some practice problems before I […]

# Archive | QC: Quantitative Comparison

## GRE Math Questions & Practice

According to ETS (the makers of the GRE), the GRE Quantitative Reasoning measure is a test that assesses your basic math skills, understanding of simple math concepts, ability to reason quantitatively, and aptitude for solving problems using quantitative methods. This is really just a fancy way of saying that you better know your math concepts […]

## Challenging GRE QC Problems on Number Properties

Here are nine GRE Quantitative Comparison questions, ranging in difficulty from moderate to quite hard (arguably as hard as, or perhaps harder than, anything you would see on the GRE Quant section). Solutions will come at the end of the article. Remember: don’t touch a calculator! 1) 2) 3) […]

## GRE Quantitative Comparison Geometry Practice Problems

Here is a batch of 7 practice QC questions. Explanations will come at the end of the article. 1) In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel to DE. 2) 3) In the diagram, JL = 4 and JK = 6. 4) In […]

## GRE Quantitative Comparison Practice Problems

Here are ten practice QC questions. All of these can and should be done without a calculator. Solutions will come at the end of this article. 1) 2) The number n is an integer greater than 2 3) The number x satisfies the restriction 4) 5) Set S consists of the elements {a, b, b, c} […]

## Magoosh Brain Twister: Get Your Factorials Straight!

For this week’s challenge, to keep the fun with factorials theme alive, I’ve come up with this little diabolical question. To add a little variety, I’ve made it a quantitative comparison question, which many forget can also make for a challenging question. Good luck! Column A 16!^100 – 9!^100 Column B (4!^100 – 3!^100)(4!^100 + […]

## Mean, Median and Mode on the GRE

Over the last six months, I’ve gone through quite a few Revised GRE prep books. One thing I’ve noticed missing is difficult questions relating to mean, median, and mode. Sure, most books describe how to find the average, and what the difference between the mean and the median. Many already know the above, but mean, […]

## GRE Math: Solving Quantitative Comparisons

First off, here’s a tricky algebraic QC: 1) x > -3 If you find this puzzling, this article discusses an efficient method for handling such problems. Before we talk about that, a quick refresher on a few basic ideas dealing with equations and inequalities. Intro to Arithmetic Suppose you have an equation, P = Q. […]

## QC “Who Cut the Cheese” GRE Challenge Question

This one is a real toughie. It is probably more difficult than any quantitative comparison question you’ll see test day. See if you can crack it under 3 minutes. A cube of cheese is 3-inches high. The cheese is sliced twice. Column A Column B Resulting surface area of all the slices of cheese 90 […]

## How to Approach Complicated Math Problems

Every GRE test is going to have a few math questions that are very difficult. Upon seeing them, you may become completely flustered and believe that there is no way you are able to solve such a question. Oftentimes this is not the case. Rather, you fall into any number of traps that prevent you […]