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# Archive | Integer Properties

## Positive and Negative Square Roots on the GRE

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 […]

## How to Round to the Nearest Integer | GRE Math

What does it mean to round a number? Rounding means to make a number shorter or simpler, but keeping it as close in value as possible to the original number. Let’s take a closer look: Rounding to the nearest integer The most common type of rounding is to round to the nearest integer.  The rule […]

## Clemmonsdogpark Brain Twister: The Smallest Big Change – Explanation

Alright Clemmonsdogparkers, let’s see how you fared on this week’s Brain Twister!   Question Lowering which of the following numbers by one will result in the least decrease of n? 17 19 23 29 31   Answer and Explanation The GRE likes to test your ability to reason with numbers. Can you see general patterns, […]

## Clemmonsdogpark Brain Twister: The Smallest Big Change

Welcome back, brave Clemmonsdogparkers! Ready to tackle another brain twisting math challenge? Here we go. Lowering which of the following numbers by one will result in the least decrease of n? 17 19 23 29 31   Don’t forget to come back on Thursday for the answer and explanation!

## Clemmonsdogpark Brain Twister: Zeroing In on the Answer

This week’s Brain Twister is a numeric entry question. Ready to give it a go?   …. How many zeroes does ‘n’ contain at the end of the number (to the right of the last non-zero digit)? Numeric Entry [________________]   Wondering how you fared? Check back on Thursday for the answer and explanation! 🙂 […]

## GRE Math – Exponent Challenge

A relatively common exponent question on the GRE will ask you to figure out the units digit of some number raised to an exponent, which usually results in a number roughly equivalent to the number of grains of sand in the Sahara, and thus out of reach of the GRE calculator. Take a look at […]

## Breakdown of the Most Commonly Tested GRE Quant Concepts

The 2nd edition Official Guide has just been released. At the back of the book is a new test (GRE Practice Test 2). In general, the concept break down is not surprising, if you look at the concepts that pop up in Practice Test 1 (which is the same as the practice test in the […]

## GRE Division, Mixed Numerals, and Negatives

This is a post to clarify a potentially confusing passage in the OG.  In the GRE OG 2e, on p. 134, we find the following passage about quotients and remainders. “If an integer n is divided by a nonzero integer d resulting in a quotient q with a remainder r, then n = qd + […]

## GRE Quant: The Difference of Squares

If you’ve been studying GRE for some time, you’ve very likely encountered the following: . You may, however, only seen the following equation in the context of algebra. Nevertheless, the formula above applies to number properties. Let’s take a look. While you may be tempted to make a mad dash at it, calculating each of […]

## GRE Exponents: Practice Question Set

Each of the math questions below is directly inspired by a question in the on-line Revised GRE test. I’ve provided an easier version of the question (#1) and a more difficult version of the question (#2). My recommendation is to try the easier version first. Then, if you answer it correctly, click on the link, […]