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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

03 Nov 2010, 15:45

1

This post received KUDOS

20

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

60% (02:26) correct
40% (01:07) wrong based on 639 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?

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.

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 _________________

The proof of understanding is the ability to explain it.

Re: On the number line, the segment from 0 to 1 [#permalink]

Show Tags

11 Nov 2012, 05:25

1

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

Amateur wrote:

On the number line, the segment from 0 to 1 has been divided in to fifths and also in to sevenths. What is the Least possible distance between any two tick marks? a) 1/70 b) 1/35 c) 2/35 d) 1/12 e) 1/7 Can someone explain clearly what needs to be the approach for these kind of questions and how the answer will be least common multiple?

Merging similar topics. Please refer to the solutions above ask if anything remains unclear.

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

Show Tags

11 Nov 2012, 10:49

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?

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

Show Tags

12 Nov 2012, 10:05

Expert's post

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. _________________

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

Show Tags

07 Feb 2013, 01:07

1

This post received KUDOS

Expert's post

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? _________________

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

Show Tags

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.

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

Show Tags

23 Jun 2014, 02:32

Expert's post

1

This post was BOOKMARKED

erotoxic wrote:

Hi Guys i need help understanding why this methodology for answering this question works.

Q) A one yard pipe has markings at 1/5ths and 1/7ths of its length. The pipe is then cut at these markings. What is the length of the smallest piece? A) 1/35

I want help understanding why simply multiplying 1/7 & 1/5 gives the right answer. This works with all values

Merging similar topics. Please refer to the discussion above.

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

Show Tags

03 Feb 2015, 07:24

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

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

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

Show Tags

06 Jul 2016, 03:00

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Excellent posts dLo saw your blog too..!! Man .. you have got some writing skills. And Just to make an argument = You had such an amazing resume ; i am glad...

So Much $$$ Business school costs a lot. This is obvious, whether you are a full-ride scholarship student or are paying fully out-of-pocket. Aside from the (constantly rising)...

They say you get better at doing something by doing it. then doing it again ... and again ... and again, and you keep doing it until one day you look...