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 350,000 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:

x is a fraction (1/2 ..) condition 1 holds true....but I dont get any other number satisfying any of the other two condition...! or my brain has froze...

sst 1 holds true all fractions...
for numbers none of these hold true...
so if x is postive then x must be fraction..
so my pick is one... but what is OA

2x < 1/x when x < Sqrt(2)/2
x^2 < 1/x when x < 1
x^2 < 2x when x < 2

for x < Sqrt(2)/2 we have x^2 < 2x < 1/x
for sqrt(2)/2 < x < 1 we have x^2 < 1/x < 2x
for 1 < x < 2 we have 1/x < x^2 < 2x
for x > 2 we have 1/x < 2x < x^2

so 1. and 2. both work.

This is a good example of why you don't plug in numbers. You would need to pick a number between Sqrt(2)/2 and 1 to get the right answer.

2x < 1/x when x < Sqrt(2)/2 x^2 < 1/x when x < 1 x^2 < 2x when x < 2

for x < Sqrt(2)/2 we have x^2 < 2x < 1/x for sqrt(2)/2 < x < 1 we have x^2 < 1/x < 2x for 1 < x < 2 we have 1/x < x^2 < 2x for x > 2 we have 1/x < 2x < x^2

so 1. and 2. both work.

This is a good example of why you don't plug in numbers. You would need to pick a number between Sqrt(2)/2 and 1 to get the right answer.

Could you please explain how did you come up with values for various inequalities

Thanks Joey..!
Uphill climb ur suggestion will not work, u should remember any decimal is baiscally a fraction..the key is to choose the right intervals..!

Great to know you are joining Kellogg. A lot was being talked about your last minute interview on Pagalguy (all good though). It was kinda surprise that you got the...