Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 25 May 2013, 01:10
Customize  |  Hide

Search
Register
New posts
Unanswered

8212;how about this one? |Z|+|Z1|=Z

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
SVP
SVP
User avatar
Joined: 03 Feb 2003
Posts: 1683
Followers: 4

Kudos [?]: 16 [0], given: 0

8212;how about this one? |Z|+|Z1|=Z [#permalink] New post 20 Jun 2003, 08:03
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
—how about this one?

|Z|+|Z–1|=Z!
SVP
SVP
User avatar
Joined: 03 Feb 2003
Posts: 1683
Followers: 4

Kudos [?]: 16 [0], given: 0

 [#permalink] New post 20 Jun 2003, 12:15
{0, 1} are OK now. Post your solution, not wild guessing.
SVP
SVP
User avatar
Joined: 03 Feb 2003
Posts: 1683
Followers: 4

Kudos [?]: 16 [0], given: 0

 [#permalink] New post 12 Jun 2004, 01:15
A year is soon to pass by, but I see no solution here...
Manager
Manager
User avatar
Joined: 07 May 2004
Posts: 184
Location: Ukraine, Russia(part-time)
Followers: 2

Kudos [?]: 2 [0], given: 0

GMAT Tests User
Re: PS: MODUL+FACTORIAL-2 [#permalink] New post 12 Jun 2004, 01:27
stolyar wrote:
—how about this one?

|Z|+|Z–1|=Z!


Z is natural number (or 0) => if Z >= 3 => Z! >= 6 and grows much faster than 2*Z - 1. => for Z >= 3, Z! > 2*Z - 1.

Z belongs to the set {0, 1, or 2}.

Z = 0: OK.

Z = 1: OK.

Z = 2: NO...

=> Z = {0, 1}.
SVP
SVP
User avatar
Joined: 03 Feb 2003
Posts: 1683
Followers: 4

Kudos [?]: 16 [0], given: 0

 [#permalink] New post 13 Jun 2004, 13:34
yes, since Z is factorialized, it has to be a whole, nonnegative number. We can safely open |Z|.

Z+|Z-1|=Z!

Open the second modul.

1) if Z>1, then Z+Z-1=Z! or 2Z-1=Z!; no solution for whole Z>1
why? if Z>1, then the left part is always odd, while the right part is always even.

2) if 0<=Z<=1, then Z-Z+1=Z! or Z!=1; Z=[0 or 1]
Manager
Manager
User avatar
Joined: 07 May 2004
Posts: 184
Location: Ukraine, Russia(part-time)
Followers: 2

Kudos [?]: 2 [0], given: 0

GMAT Tests User
 [#permalink] New post 17 Jun 2004, 09:55
lastochka wrote:
I don't see 1) or 2)
weird...


lastochka, stolyar merely stated that z-1 is greater than 0 or lower than 0.

The first case is equivalent to |z-1| = z - 1, the second one is equivalent to |z-1| = 1-z. Then he considers these 2 cases.
SVP
SVP
User avatar
Joined: 03 Feb 2003
Posts: 1683
Followers: 4

Kudos [?]: 16 [0], given: 0

 [#permalink] New post 18 Jun 2004, 08:01
lastochka wrote:
I don't see 1) or 2)
weird...


Yes, many of my questions are weird and eerie. I like short but nonstandard problems. If you look back at the start of this forum, you will find tens of such questions.
  [#permalink] 18 Jun 2004, 08:01
    Similar topics Author Replies Last post
Similar
Topics:
 New posts X|!=1 —How many integer solutions are there? A. Four stolyar 6 06 Jun 2003, 00:41
New posts 2|Z|+|Z???1|???|Z+2|=Z stolyar 2 10 Jun 2003, 00:18
New posts EXPERTS_POSTS_IN_THIS_TOPIC About Princeton vs Kaplan on-line course chihao 3 04 Aug 2003, 03:31
New posts Any idea about this one rp9999 1 25 May 2008, 17:00
New posts One of the Best Parts about Bschool Bballer84 0 04 Dec 2012, 22:11
Display posts from previous: Sort by

8212;how about this one? |Z|+|Z1|=Z

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com