It is currently 21 Sep 2017, 10:56

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If a<y<z<b is I y-a I < I y-b I 1) I z-a I <

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
User avatar
Joined: 13 Apr 2008
Posts: 64

Kudos [?]: 15 [0], given: 0

If a<y<z<b is I y-a I < I y-b I 1) I z-a I < [#permalink]

Show Tags

New post 29 Jul 2008, 03:19
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If a<y<z<b is I y-a I < I y-b I

1) I z-a I < I z-b I

2) I y-a I < I z-b I

Please Explain

Kudos [?]: 15 [0], given: 0

SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1540

Kudos [?]: 278 [0], given: 0

Re: GMATPREP-Absolute Values [#permalink]

Show Tags

New post 29 Jul 2008, 03:30
I would go with answer D.

If I plot the four points a,y,z and b on number line, then
Stmt1: If absolute distance between z and a is less than absolute distance between z and b and since y is to the left of z, hence absolute distance between y and a will be less than the absolute distance between y and b.

Stmt2: Similar logic as in Stmt 1.

Kudos [?]: 278 [0], given: 0

Expert Post
GMAT Tutor
avatar
B
Joined: 24 Jun 2008
Posts: 1341

Kudos [?]: 1910 [0], given: 6

Re: GMATPREP-Absolute Values [#permalink]

Show Tags

New post 29 Jul 2008, 09:58
Value wrote:
If a<y<z<b is I y-a I < I y-b I

1) I z-a I < I z-b I

2) I y-a I < I z-b I

Please Explain


Yes, agree with the post above. Remember that | y - a | just means "the distance between y and a on the number line". So the question is asking, "is y closer to a than it is to b?"

Statement 1 tells us "z is closer to a than it is to b". We know y is even closer to a than z is (from a<y<z<b) so this statement is sufficient.

Statement 2 tells us that "y is closer to a than z is to b". Since y is further from b than z is, y must be closer to a than to b. This statement is sufficient.

Much easier to see all of this if you draw the number line.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Kudos [?]: 1910 [0], given: 6

Senior Manager
Senior Manager
User avatar
Joined: 19 Mar 2008
Posts: 352

Kudos [?]: 67 [0], given: 0

Re: GMATPREP-Absolute Values [#permalink]

Show Tags

New post 30 Jul 2008, 09:24
i got E

could someone explain why it is D?

Kudos [?]: 67 [0], given: 0

SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1795

Kudos [?]: 1033 [0], given: 5

Location: New York
Re: GMATPREP-Absolute Values [#permalink]

Show Tags

New post 30 Jul 2008, 09:53
judokan wrote:
i got E

could someone explain why it is D?


See the attachment.
Attachments

distance.doc [23.5 KiB]
Downloaded 48 times

To download please login or register as a user


_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Kudos [?]: 1033 [0], given: 5

Intern
Intern
avatar
Joined: 01 Jul 2008
Posts: 41

Kudos [?]: 10 [0], given: 20

Re: GMATPREP-Absolute Values [#permalink]

Show Tags

New post 30 Jul 2008, 09:55
IanStewart wrote:
Value wrote:
If a<y<z<b is I y-a I < I y-b I

1) I z-a I < I z-b I

2) I y-a I < I z-b I

Please Explain


Yes, agree with the post above. Remember that | y - a | just means "the distance between y and a on the number line". So the question is asking, "is y closer to a than it is to b?"

Statement 1 tells us "z is closer to a than it is to b". We know y is even closer to a than z is (from a<y<z<b) so this statement is sufficient.

Statement 2 tells us that "y is closer to a than z is to b". Since y is further from b than z is, y must be closer to a than to b. This statement is sufficient.

Much easier to see all of this if you draw the number line.


a<y<z<b => I y-a I + I z-y I = I z-a I -(1)

& a<y<z<b => I z-y I + I b-z I = I b-y I => I b-z I < I b-y I -(2)

1) I z-a I < I z-b I => I y-a I + I z-y I < I z-b I (from (1))
& I b-z I < I b-y I (from (2))
=> I y-a I + I z-y I < I b-y I
=> I y-a I < I b-y I

2) I y-a I < I z-b I
=> I y-a I < I z-b I < I b-y I from (2)
hence I y-a I < I b-y I

Kudos [?]: 10 [0], given: 20

Re: GMATPREP-Absolute Values   [#permalink] 30 Jul 2008, 09:55
Display posts from previous: Sort by

If a<y<z<b is I y-a I < I y-b I 1) I z-a I <

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.