## Articles published in Fractions, Decimals, Percents

### Two Minutes of GMAT Quant: A Breakdown (Part 3)

Did you know that you can attend the first session of any of our online or in-person GMAT courses absolutely free? We’re not kidding! Check out our upcoming courses here.

Ready for the long awaited conclusion of how to tackle a quant problem in two minutes? We’ll finally get to the point where you can submit an answer! If you haven’t been keeping up, catch up here. Read more

### How to Review Easy GMAT Quant Questions (And Why They’re Important)

Did you know that you can attend the first session of any of our online or in-person GMAT courses absolutely free? We’re not kidding! Check out our upcoming courses here.

If you’re already comfortable with most of the Quant content (big if, but hey, let’s play the hypothetical game), then you’ll find some of the questions in the GMAT official guide book are relatively easy. Even if you’re struggling, there will be a few questions that you get right and understand without much difficulty. Let’s talk about how those can be powerful tools.

Imagine you come across this problem: Read more

### The Top 6 GMAT Quant Mistakes That You Don’t know You’re Making

Did you know that you can attend the first session of any of our online or in-person GMAT courses absolutely free? We’re not kidding! Check out our upcoming courses here.

Sometimes, as you solve a GMAT Problem Solving problem, everything seems to go smoothly. You get an answer that matches one of the choices perfectly, so you select it and move on to the next problem. But much later, when you’re reviewing the problem, you realize that you picked the wrong answer entirely. Why does this happen, and how can you stop it?

### Here’s How to do GMAT Unit Conversions Like a Pro

Sometimes the whole point of a specific GMAT problem is to convert between miles and kilometers, or meters and centimeters. In other problems, you’ll need to do a unit conversion as part of a longer solution. It’s easy to mess up unit conversions, and the GMAT writers know this — they include them on the test in order to test your level of organization and your ability to double-check your work. Here’s how to add fast unit conversions to your repertoire of skills.   Read more

### Three things to love about GMAT Roman numeral problems

I. Roman numeral Quant problems aren’t a whole lot of fun.

II. A lot of my students choose to skip them entirely, which is much smarter than wasting five minutes wondering what to do!

III. However, it’s possible to turn this rare and tricky problem type into an opportunity.

Read on, and learn why many GMAT high-scorers love Roman numeral problems. Read more

### Here’s why you should interleave your GMAT studies (and what that means)

Recently, I wrote a post about how to get the most out of Official Guide (OG) problems during your studies. In that article, I discussed the concept of Interleaving your studies and I’ve got more to say on this strategy that’s of crucial importance to your studies.

### What is Interleaving?

In a nutshell, interleaving is a way of mixing up your studies. For example, let’s say that you’re about to start studying the Fractions chapter of our Fractions, Decimals, & Percents (FDP) Strategy Guide. It’s only 8 pages long, so you should just read the whole thing straight through, right? (Note: if you actually have this guide,  pull it out right now and follow along below.) Read more

### Manhattan Prep’s GMAT® study app is now available!

I am very excited to announce that our new GMAT® study app is available on both iOS and Android!

### GMAT Data Sufficiency: Ratio Stories – Part 2

Recently, we took a look at a story problem dealing with ratios, and I finished up by giving you a second problem to test your skills. How did you do?

If you haven’t already, try the GMATPrep® problem below and then we’ll talk about it. Give yourself about 2 minutes. Go! Read more

### The Importance of Getting to No on the GMAT — Part 2

Last time, we talked about how crucial it is to develop the instinct to go for the “No” when taking the GMAT. If you haven’t read the first installment, do so right now, then come back here to learn more.

I left you with this GMATPrep® problem from the free exams.

“*If 0 <r< 1 <s< 2, which of the following must be less than 1? “I.

“II. rs

“III. sr

“(A) I only

“(B) II only

“(C) III only

“(D) I and II

“(E) I and III”

### The 4 Math Strategies Everyone Must Master, Part 1

We need to know a lot of different facts, rules, formulas, and techniques for the quant portion of the test, but there are 4 math strategies that can be used over and over again, across any type of math—algebra, geometry, word problems, and so on.

Do you know what they are?

Try this GMATPrep® problem and then we’ll talk about the first of the four strategies.

* ” If mv < pv < 0, is v > 0?

“(1) m < p

“(2) m < 0”

All set?

How did you do the problem? Most quant questions have more than one possible approach and this one is no exception—but I want to use this problem to talk about a particular technique called Testing Cases.

This question is called a “theory” question: there are just variables, no real numbers, and the answer depends on some characteristic of a category of numbers, not a specific number or set of numbers. When we have these kinds of questions, we can use theory to solve—but that can get very confusing very quickly. Instead, try testing real numbers to “prove” the theory to yourself.

(Note: I chose a particularly tough question for this exercise; testing cases can also be useful and fast on easier questions!)

This problem gives one inequality:

“mv < pv < 0"

The test writers are hoping that you’ll say, “Oh, let’s just divide by v to get rid of it, so the equation is really m < p < 0.” But that’s a trap! Why? When you divide an inequality by a negative, you have to flip the signs. But you don’t know whether v is positive or negative, so you don’t know whether to flip the signs! Never divide an inequality by a variable if you don’t know the sign of the variable.

The question itself contains a clue (two, actually!) pointing to this trap. The given inequality asks about “< 0” and the question also asks whether v > 0? Less than zero and greater than zero are code for “I’m testing you on positives and negatives.”