Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

We can safely reduce LHS of inequality \(\frac{x^2}{|x|}<1\) by \(|x|\). We'll get: is \(|x|<1\)? Basically question asks whether \(x\) is in the range \(-1<x<1\).

Statements 1 and 2 are not sufficient, but together they are defining the range for \(x\) as \(-1<x<1\).

the expression x^2/lxl<1 will always be +ve as the N is a sqaure and mod x is always +ve

the expression is true only for fractional value

s1) tells us that x can be a +ve or -ve fractional and also can be a -int hence insuff. s2) tells us that x can be a +ve or -ve fractional and also can be a +int hence insuff....

combinig x is only a fraction and hence suff...
_________________

GMAT is not a game for losers , and the moment u decide to appear for it u are no more a loser........ITS A BRAIN GAME

We can safely reduce inequality \(\frac{x^2}{|x|}<1\) by \(|x|\). We'll get: is \(|x|<1\)? Basically question asks whether \(x\) is in the range \(-1<x<1\).

Statements 1 and 2 are not sufficient, but together they are defining the range for \(x\) as \(-1<x<1\).

Answer: C.

Bunuel - please clarify this divison -\(\frac{x^2}{|x|}<1\) by \(|x|\). We'll get: is \(|x|<1\)? can be done because |x| is always +ve or is there are any other reason ?
_________________

Bunuel - please clarify this divison -\(\frac{x^2}{|x|}<1\) by \(|x|\). We'll get: is \(|x|<1\)? can be done because |x| is always +ve or is there are any other reason ?

We should never multiply (or reduce) inequality by variable (or expression with variable) if we don't know the sign of it or are not certain that variable (or expression with variable) doesn't equal to zero.

But in this case we are not reducing the inequality we are reducing only one part of it. So, it's safe to do so.

For example if we had: \(\frac{x^4}{x^3}<0\) we can reduce LHS by \(x^3\) and write \(x<0\).
_________________

We can safely reduce LHS of inequality \(\frac{x^2}{|x|}<1\) by \(|x|\). We'll get: is \(|x|<1\)? Basically question asks whether \(x\) is in the range \(-1<x<1\).

Statements 1 and 2 are not sufficient, but together they are defining the range for \(x\) as \(-1<x<1\).

We can safely reduce LHS of inequality \(\frac{x^2}{|x|}<1\) by \(|x|\). We'll get: is \(|x|<1\)? Basically question asks whether \(x\) is in the range \(-1<x<1\).

Statements 1 and 2 are not sufficient, but together they are defining the range for \(x\) as \(-1<x<1\).

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

This question is loaded with Number Property rules. If you know the rules, then you can make relatively quick work of this question; you can also solve it by TESTing VALUES...

We're told that X ≠ 0. We're asked if (X^2) /(|X|) < 1. This is a YES/NO question.

Before dealing with the two Facts, I want to point out a couple of Number Properties in the question stem:

1) X^2 will either be 0 or positive. 2) |X| will either be 0 or positive. 3) For the fraction in the question to be LESS than 1, X^2 must be LESS than |X|.

Fact 1: X < 1

IF... X = 1/2 (1/4)/|1/2| = 1/2 and the answer to the question is YES

IF... X = -1 (1)/|-1| = 1 and the answer to the question is NO Fact 1 is INSUFFICIENT

Fact 2: X > −1

IF... X = 1/2 (1/4)/|1/2| = 1/2 and the answer to the question is YES

IF... X = 1 (1)/|1| = 1 and the answer to the question is NO Fact 2 is INSUFFICIENT

Combined, we know... -1 < X < 1

Since X cannot equal 0, X must be a FRACTION (either negative or positive). In ALL cases, X^2 will be LESS than |X|, so the fraction will ALWAYS be less than 1 and the answer to the question is ALWAYS YES. Combined, SUFFICIENT

Campus visits play a crucial role in the MBA application process. It’s one thing to be passionate about one school but another to actually visit the campus, talk...

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...