GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 11 Dec 2018, 01:29

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

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

Author Message
TAGS:

### Hide Tags

Retired Moderator
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1175
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  [#permalink]

### Show Tags

03 Nov 2010, 14:45
2
56
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:50) correct 33% (01:53) wrong based on 1114 sessions

### HideShow timer Statistics

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

_________________

"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

Math Expert
Joined: 02 Sep 2009
Posts: 51097

### Show Tags

03 Nov 2010, 15:05
27
24
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.

_________________
Manager
Joined: 10 Sep 2010
Posts: 119

### Show Tags

03 Nov 2010, 14:52
15
3
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
Intern
Joined: 02 Nov 2010
Posts: 2

### Show Tags

03 Nov 2010, 14:55
you can use the strategy of picking numbers.

So choose a length of 35 (5 x 7)' then the large tick marks would be at the positions 7 14 21 28 and the small tick marks would be at 5 10 15 20 25 30

look at the differences ( a little graph helps a lot) between the large and small tick marks, these would be

2 3 4 1 5 1 4 3 2

so the least difference is 1, but remember we scaled it, so tge answer is $$\frac{1}{35}$$.

B
Manager
Joined: 16 Jul 2009
Posts: 204

### Show Tags

03 Nov 2010, 19:47
Bunnel must say, you are the undisputed champ!! an excellent takeaway in this problem is the LCM of the two fractions.
VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1033

### Show Tags

06 May 2011, 10:26
3
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
Joined: 16 Nov 2010
Posts: 1426
Location: United States (IN)
Concentration: Strategy, Technology

### Show Tags

11 May 2011, 05:57
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

_________________

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

GMAT Club Premium Membership - big benefits and savings

Director
Joined: 01 Feb 2011
Posts: 660

### Show Tags

11 May 2011, 17:11
divisions are 0 1/7 2/7 3/7 4/7 5/7 6/7 1

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

expressing the same in terms of the lcm of 5,7 ,i.e 35

0 7/35 14/35 21/35 28/35 35/35
5/35 10/35 15/35 20/35 25/35 30/35

by comparing the divisions with each other we can see 1/35 is the shortest possible distance between any two selected divisions.

1/35

Manager
Joined: 10 Nov 2010
Posts: 189
Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
GMAT 2: 540 Q44 V21
WE: Information Technology (Computer Software)

### Show Tags

15 Mar 2012, 23:46
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.

Thanks for efficient method
_________________

The proof of understanding is the ability to explain it.

Math Expert
Joined: 02 Sep 2009
Posts: 51097
On the number line above, the segment from 0 to 1 has been  [#permalink]

### Show Tags

11 Nov 2012, 04:25
1
1
Similar question to practice: http://gmatclub.com/forum/kim-finds-a-1 ... 40038.html

Hope it helps.
_________________
Manager
Joined: 05 Nov 2012
Posts: 149
Re: On the number line above, the segment from 0 to 1 has been  [#permalink]

### Show Tags

11 Nov 2012, 09:49
Man i got a question.... i understood what everyone said.... but number line segment was divided in to 7parts and 5 parts right.... so each one also has ticks at 35! the last point.... so isn't the distance between large and small tick marks 0?
Math Expert
Joined: 02 Sep 2009
Posts: 51097
Re: On the number line above, the segment from 0 to 1 has been  [#permalink]

### Show Tags

12 Nov 2012, 09:05
Amateur wrote:
Man i got a question.... i understood what everyone said.... but number line segment was divided in to 7parts and 5 parts right.... so each one also has ticks at 35! the last point.... so isn't the distance between large and small tick marks 0?

The number line shown, is not cut at 0 and 1.
_________________
Senior Manager
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 449
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  [#permalink]

### Show Tags

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

Capture.JPG [ 28.81 KiB | Viewed 31385 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
Joined: 02 Sep 2009
Posts: 51097
On the number line above, the segment from 0 to 1 has been  [#permalink]

### Show Tags

07 Feb 2013, 00:07
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
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 449
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  [#permalink]

### Show Tags

07 Feb 2013, 02:02
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
Joined: 02 Sep 2009
Posts: 51097
On the number line above, the segment from 0 to 1 has been  [#permalink]

### Show Tags

23 Jun 2014, 01:32
1
1
Senior Manager
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 419
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: On the number line above, the segment from 0 to 1 has been  [#permalink]

### Show Tags

03 Feb 2015, 06:24
I just started subtracting the parts.

0---:-|---:--|-:--:-|--:---|-:----1

1) 1/5 - 1/7 = 2/5, is the small part between the first 5th and the first 7th.
2) 3/7 - 2/5 = 1/35, is the difference between the third 7th and the second 5th.
3) 3/5 - 4/7 = 1/35, is the difference between the third 5th and the fourth 7th.
4) 1 - 4/5 = 1/5, is the differenc between the fifth 5th and the fourth fifth.

In other words, 1/35 is the smallest difference between any two pieces. ANS B
Senior Manager
Status: Verbal Forum Moderator
Joined: 17 Apr 2013
Posts: 483
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  [#permalink]

### Show Tags

20 Jun 2015, 15:14
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

_________________

Like my post Send me a Kudos It is a Good manner.
My Debrief: http://gmatclub.com/forum/how-to-score-750-and-750-i-moved-from-710-to-189016.html

Intern
Joined: 14 Jan 2017
Posts: 1
Re: On the number line above, the segment from 0 to 1 has been  [#permalink]

### Show Tags

14 Jan 2017, 06:46
I just calculated 1/5 * 1/7 and also got the correct solution "1/35".

However, calculating it this way was just a gut feeling, can someone explain me why this way to solve it is also correct please
Manager
Joined: 24 Jun 2017
Posts: 122
Re: On the number line above, the segment from 0 to 1 has been  [#permalink]

### Show Tags

25 Jun 2017, 16:28
I resolved it differently by assuming that the graph does represent right proportion. The smallest distance between fifths and sevenths on the graph is right in the middle, either after 2nd fifth or before 3rd
So it's 3/7 - 2/5 = x
x=15/35- 14/35 = 1/35

or 3/5 - x = 4/7
x = 3/5-4/7= 21/35 - 20/35 = 1/35
Re: On the number line above, the segment from 0 to 1 has been &nbs [#permalink] 25 Jun 2017, 16:28

Go to page    1   2    Next  [ 21 posts ]

Display posts from previous: Sort by