GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 22 Jan 2020, 01:27

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

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 899
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 03 Nov 2010, 15:45
4
100
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

67% (01:57) correct 33% (01:53) wrong based on 1054 sessions

HideShow timer Statistics

Image
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance between any two of the tick marks?

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


Attachment:
GMAT_PS_PREP_T2_108.png
GMAT_PS_PREP_T2_108.png [ 1.76 KiB | Viewed 2682 times ]

_________________
"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: http://gmatclub.com/forum/my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60561
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 03 Nov 2010, 16:05
37
1
37
metallicafan wrote:
0---:-|---:--|-:--:-|--:---|-:----1

On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance between any two of the tick marks?

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


The easiest way would be just to write down the values at all marks. Let the total distance be 35 units (LCM of 5 and 7), then the large marks will be at: 7, 14, 21, and 28 and the small marks at 5, 10, 15, 20, 25, and 30: 5-7-10-14-15-20-21-25-28-30. The least distance is 1 unit or 1/35 th: between 14 and 15 and between 20 and 21.

Answer: B.
_________________
Most Helpful Community Reply
Manager
Manager
avatar
Joined: 10 Sep 2010
Posts: 107
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 03 Nov 2010, 15:52
21
6
1/35
Total number length should be divisible by 5 and by 7 =>35

if divided in 5 parts: 7, 14, 21, 28, 35
If divided in 7 parts: 5, 10, 15, 20, 25, 30, 35

Smallest distance is 1/35 (between 20 and 21).

Sorry, I do not know better/more mathematical way to approach this...
General Discussion
Manager
Manager
avatar
Joined: 16 Jul 2009
Posts: 164
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 03 Nov 2010, 20:47
1
1
Bunnel must say, you are the undisputed champ!! an excellent takeaway in this problem is the LCM of the two fractions.
Director
Director
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 780
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 06 May 2011, 11:26
4
7*5 = 35.

let 1 represent 35.

then for 1/5 divisions are 5,10,15,20,25,30,35
then for 1/7 divisions are 7,14,21,28,35

between 14 and 15 difference is 1. this is equal to 1/35.
Hence B.
Retired Moderator
avatar
B
Joined: 16 Nov 2010
Posts: 1221
Location: United States (IN)
Concentration: Strategy, Technology
Reviews Badge
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 11 May 2011, 06:57
1
1
1/7,2/7,3/7,4/7,5/7,6/7,7/7

= 5/35, 10/35, 15/35, 20/35, 25/35, 30/35, 35/35

1/5,2/5,3/5,4/5,5/5

= 7/35, 14/35, 21/35, 28/35, 35/35


3rd 7 mark and 2nd 5 mark :

= 1/35

Answer - B
_________________
Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings
Manager
Manager
avatar
Joined: 10 Nov 2010
Posts: 162
Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
GMAT 2: 540 Q44 V21
WE: Information Technology (Computer Software)
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 16 Mar 2012, 00:46
Bunuel wrote:
metallicafan wrote:
0---:-|---:--|-:--:-|--:---|-:----1

On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance between any two of the tick marks?

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


The easiest way would be just to write down the values at all marks. Let the total distance be 35 units (LCM of 5 and 7), then the large marks will be at: 7, 14, 21, and 28 and the small marks at 5, 10, 15, 20, 25, and 30: 5-7-10-14-15-20-21-25-28-30. The least distance is 1 unit or 1/35 th: between 14 and 15 and between 20 and 21.

Answer: B.

Thanks for efficient method
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60561
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 11 Nov 2012, 05:25
1
2
Senior Manager
Senior Manager
avatar
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 418
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 06 Feb 2013, 07:45
1
Official Soln given is attached herewith. Somebody please explain me the official soln.
Attachments

Capture.JPG
Capture.JPG [ 28.81 KiB | Viewed 40266 times ]


_________________
hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60561
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 07 Feb 2013, 01:07
1
Sachin9 wrote:
Official Soln given is attached herewith. Somebody please explain me the official soln.


Step 1: finding the values of small and large tick marks;
Step 2: find the least common denominator in order to compare them easily;
Step 3: arrange tick marks in ascending order;
Step 4: find the least distance between them.

Can you please tell me which step was confusing?
_________________
Senior Manager
Senior Manager
avatar
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 418
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 07 Feb 2013, 03:02
Bunuel wrote:
Sachin9 wrote:
Official Soln given is attached herewith. Somebody please explain me the official soln.


Step 1: finding the values of small and large tick marks;
Step 2: find the least common denominator in order to compare them easily;
Step 3: arrange tick marks in ascending order;
Step 4: find the lest distance between them.

Can you please tell me which step was confusing?


step 3 was confusing. It is now clear. . an exhausted mind couldn't absorb earlier
_________________
hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60561
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 23 Jun 2014, 02:32
1
2
Senior Manager
Senior Manager
User avatar
Status: Verbal Forum Moderator
Joined: 17 Apr 2013
Posts: 447
Location: India
GMAT 1: 710 Q50 V36
GMAT 2: 750 Q51 V41
GMAT 3: 790 Q51 V49
GPA: 3.3
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 20 Jun 2015, 16:14
1
The LCM OF 5 and 7 is 35.

Lets assume that whole line is of 35 units.

Markups of 7 = 7, 14, 21, 28, 35
Markup on Line of 5 = 5,10,15,20,25,30,35

Lets write them in ascending order

5,710,1415,20,21,25,28,30,35

The closest distance is between 20 and 21

But since we have assumed distance between 0 to 1 as 35 Units.

lets nullify that

35 Units = 1 real unit given in the question

21-20 =1

so what will be 1 in terms of real unit =
1/35

Answer B.
VP
VP
User avatar
P
Joined: 18 Dec 2017
Posts: 1010
Location: United States (KS)
GMAT 1: 600 Q46 V27
Premium Member CAT Tests
Re: On the number line above, the segment from 0 to 1 has been divided int  [#permalink]

Show Tags

New post 03 Dec 2019, 20:16
Bump up!

Bunuel, Your approach is just insane.! Thank you
_________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
GMAT Club Bot
Re: On the number line above, the segment from 0 to 1 has been divided int   [#permalink] 03 Dec 2019, 20:16
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





cron

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