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:

GMAT Club invites you to test your GRE knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GRE Strategy guide. What are you waiting for? Get out their scrap paper and start solving! Click here to view contest & prize details

This week's question:

A

B

|x – 5| – |a – b|

|b – a| – |5 – x|

Compare Quantity A and Quantity B using the information given above, and select one of the following answer choices: A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

Please post your answer, along with the explanation, below. Get cracking!

Edit: This challenge is now closed

The winner of this Week's Challenge is... (drum roll).... m2l2. Congratulations! Please send me a pm with your shipping address, and choice of Manhattan GRE Guide

Details of next week's competition will be posted in the Weekly Challenge Master thread... Stay tuned! _________________

Quantity B is greater. A=|x-5|-|a-b| = (x-5)-(-(a-b)

since x>5, so the mod will always open positive. since a<b, |a-b| will always open negetive.

so A= x-5+a-b ............(i)

B=|b-a|-|5-x| = (b-a)-(-(5-x) same logic as above.

so B= b-a+5-x ...............(ii)

so A= -(B) ............... from (i) and (ii) now, numerical value of b-a is greater than 5 since 0 and 5 lies between a and b. numerical value of 5-x is less than 5 since x lies between 5 and 10. so, B is a positive quantity or A is a negetive quantity.

|5-x|-->X varies from 5 to 10 therefore |5-x| varies from 0 to 5 |b-a|--> B varies from 5 to 10 and is greater then X ..and A is less than 0.Therefore |b-a| is either greater then 10 or greater than 5.Which means greater than 5 covers the entire range. Hence ,|b-a|-|5-x| is always positive...(1)

Quantity A Since x > 0 , |x-5| is the same range as |5-x| varying from 0 to 5 |a-b| again as |b-a| varies from 5 to 10 Hence . |b-a|-|5-x| is < 0 ....(2)

Therefore Clearly , Quantity B is greater then Quantity A.