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:

Target question:Is y – z < x – z? This is a good candidate for rephrasing the target question. Take y – z < x – z and add z to both sides to get: y < x. So,...... REPHRASED target question:Is y < x?

Statement 1: y lies between x and z. BE CAREFUL, we cannot conclude that x < y < z, because it could also be the case that z < y < x In both cases, y lies between x and z on the number line. These two possible scenarios yield different answers to the REPHRASED target question. Case a: if x < y < z, then we can see that x < y. Case b: if z < y < x, then we can see that y < x. Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: z < x < 0 There's no information about y. So, there's no way to determine whether or not y < x Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined Statement 1 tells us that EITHER x < y < z OR z < y < x Statement 2 tells us that z < x, which RULES OUT the possibility that x < y < z So, it MUST be the case that z < y < x, which means y < x So, the answer to the REPHRASED target question is "YES. It is definitely the case that y < x" Since we can answer the REPHRASED target question with certainty, the combined statements are SUFFICIENT

Answer: C

RELATED VIDEOS FROM OUR COURSE

_________________

Brent Hanneson – Founder of gmatprepnow.com

Last edited by GMATPrepNow on 19 Oct 2017, 15:03, edited 1 time in total.

Statement 1: y lies between x and z. But y may be greater than or smaller than x NOT SUFFICIENT

Statement 2: z < x < 0 No mention of y hence NOT SUFFICIENT

Combining the two statements z < x < 0 and y lies between x and z i.e. y must be smaller than x hence SUFFICIENT

Answer: option C
_________________

Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html

Re: If x, y and z are real numbers, is y – z < x – z? [#permalink]

Show Tags

19 Oct 2017, 14:06

1

This post received KUDOS

GMATPrepNow wrote:

Bunuel wrote:

If x, y and z are real numbers, is y – z < x – z?

(1) y lies between x and z. (2) z < x < 0

Target question:Is y – z < x – z? This is a good candidate for rephrasing the target question. Take y – z < x – z and add z to both sides to get: y < x. So,...... REPHRASED target question:Is y < x?

Statement 1: y lies between x and z. BE CAREFUL, we cannot conclude that x < y < z, because it could also be the case that z < y < x In both cases, y lies between x and z on the number line. These two possible scenarios yield different answers to the REPHRASED target question. Case a: if x < y < z, then we can see that x < y. Case b: if z < y < x, then we can see that y < x. Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: z < x < 0 There's no information about y. So, there's no way to determine whether or not y < x Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined Statement 1 tells us that EITHER x < y < z OR z < y < x Statement 2 tells us that z < x, which RULES OUT the possibility that x < y < z So, it MUST be the case that x < y < z, which means x < y So, the answer to the REPHRASED target question is "NO. It is definitely NOT the case that y < x" Since we can answer the REPHRASED target question with certainty, the combined statements are SUFFICIENT

Answer: C

RELATED VIDEOS FROM OUR COURSE

Hi Brent,

Nice solution! I do think you've made a mistake in the highlighted part though. I believe you meant to say:

Statement 2 tells us that z < x, which RULES OUT the possibility that x < y < z So, it MUST be the case that z < y < x, which means y < x So, the answer to the REPHRASED target question is "YES. It is DEFINITELY the case that y < x"