On the number line, the segment from 0 to 1 has been divided : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 23 Jan 2017, 22:33

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# On the number line, the segment from 0 to 1 has been divided

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
SVP
Joined: 04 May 2006
Posts: 1926
Schools: CBS, Kellogg
Followers: 23

Kudos [?]: 1014 [0], given: 1

On the number line, the segment from 0 to 1 has been divided [#permalink]

### Show Tags

01 Apr 2008, 19:47
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

On the number line, the segment from 0 to 1 has been divided into fifths and also into sevenths. What is the LEAST possiple distance between any two of the tick marks?

A. 1/70
B. 1/35
C. 2/35
D. 1/12
E. 1/7

Do you mind giving me a fast way of solving it? Thanks!
_________________
Manager
Joined: 25 Mar 2008
Posts: 106
Followers: 1

Kudos [?]: 12 [0], given: 0

Re: A NUMBER LINE [#permalink]

### Show Tags

03 Apr 2008, 05:40
can any one explain it wiht pic please ?
CEO
Joined: 17 Nov 2007
Posts: 3589
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 550

Kudos [?]: 3565 [2] , given: 360

Re: A NUMBER LINE [#permalink]

### Show Tags

03 Apr 2008, 05:53
2
KUDOS
Expert's post
B

Actually we have to find minimum of the expression:

$$f=|\frac{a}{5} - \frac{b}{7}|$$ where a e {0,1,2,3,4} and b e {1,2,3,4,5,6}

$$f=|\frac{7*a-5*b}{35}|$$

7*a: 7,14,21,28
5*b: 5,10,15,20,25,30

so, $$min(f)=\frac{1}{35}$$
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Current Student
Joined: 27 Mar 2008
Posts: 416
Schools: Kellogg Class of 2011
Followers: 3

Kudos [?]: 43 [0], given: 1

Re: A NUMBER LINE [#permalink]

### Show Tags

03 Apr 2008, 05:55
Answer is B - 1/35.

3/5 - 4/7 = 1/35
Manager
Joined: 23 Mar 2008
Posts: 219
Followers: 3

Kudos [?]: 144 [0], given: 0

Re: A NUMBER LINE [#permalink]

### Show Tags

03 Apr 2008, 09:52
Where did you get 3/5 and 4/7?
SVP
Joined: 04 May 2006
Posts: 1926
Schools: CBS, Kellogg
Followers: 23

Kudos [?]: 1014 [0], given: 1

Re: A NUMBER LINE [#permalink]

### Show Tags

03 Apr 2008, 19:53
walker wrote:
B

Actually we have to find minimum of the expression:

$$f=|\frac{a}{5} - \frac{b}{7}|$$ where a e {0,1,2,3,4} and b e {1,2,3,4,5,6}

$$f=|\frac{7*a-5*b}{35}|$$

7*a: 7,14,21,28
5*b: 5,10,15,20,25,30

so, $$min(f)=\frac{1}{35}$$

Thank Walker, that is exactly what I want. I can generalize this problem for future!
_________________
CEO
Joined: 17 Nov 2007
Posts: 3589
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 550

Kudos [?]: 3565 [0], given: 360

Re: A NUMBER LINE [#permalink]

### Show Tags

03 Apr 2008, 20:12
It seems that the answer maybe generalized as $$\frac{1}{LCM(x,y)}$$
But honestly, I so tired after lulling my son at 3 am and my following 4th GMATPrep1 attempt that I am very lazy to prove (or disprove) this generalization...but maybe does somebody try?
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Senior Manager
Joined: 16 Aug 2004
Posts: 327
Location: India
Followers: 1

Kudos [?]: 47 [0], given: 0

Re: A NUMBER LINE [#permalink]

### Show Tags

03 Apr 2008, 21:14
I still have to reach the stage of generalization, you have a great method Mr Walker but my traditional method proves 1/35 answer B. It took a lot of time though.
Re: A NUMBER LINE   [#permalink] 03 Apr 2008, 21:14
Display posts from previous: Sort by

# On the number line, the segment from 0 to 1 has been divided

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.