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:

An ant is clinging to one corner of a box in the shape of a [#permalink]

Show Tags

28 Jun 2012, 18:58

1

This post received KUDOS

9

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

24% (02:33) correct
76% (01:18) wrong based on 136 sessions

HideShow timer Statictics

An ant is clinging to one corner of a box in the shape of a cube. The ant wants to get to the most distant corner of the box by crawling only along the edges of the cube and without ever revisiting a place it has been. How many different paths can the ant take to the most distant corner?

An ant is clinging to one corner of a box in the shape of a cube. The ant wants to get to the most distant corner of the box by crawling only along the edges of the cube and without ever revisiting a place it has been. How many different paths can the ant take to the most distant corner?

A. 6 B.12 C.18 D.24 E.30

Make the cube and select two opposite corners. One where the ant is right now and the second is where it wants to reach. Notice that from its current position, it has 3 different paths that it can take i.e. it has 3 possible options. Make the ant move on any one path out of these 3. Once one path is chosen, it has two different paths it can take (it cannot take the third one since it cannot revisit the third point). Make the ant move on any one path out of these 2. Now, from this point, it again has 3 options to reach the point where it wanted to reach. Notice that the case will be the same even if you had selected different paths in the first two moves because it is a cube so all sides are the same.

Total number of different paths = 3*2*3 = 18 _________________

Re: An ant is clinging to one corner of a box in the shape of a [#permalink]

Show Tags

29 May 2014, 13:13

1

This post received KUDOS

@ Bunuel I have to type it all over again coz u deleted my last post..

Here how does the ant have 3 choices after the second path..It again has 2 choices.. Also it misses all the complex paths that the ant visits not in 3 steps..say in 5 or 7 steps..(It is possible)

Either I misunderstood the Q and the E or the explanation is incorrect

I guess the way would be: No of ways to do in- 3 steps: 3*2*1=6 5 steps: 3*2*1*1*1=6 7 steps: 3*2*1*1*1*1*1=6 No more steps are possible: total 18 ways

Experts please comment _________________

Appreciate the efforts...KUDOS for all Don't let an extra chromosome get you down..

An ant is clinging to one corner of a box in the shape of a [#permalink]

Show Tags

12 Jul 2014, 21:07

VeritasPrepKarishma wrote:

vibhav wrote:

An ant is clinging to one corner of a box in the shape of a cube. The ant wants to get to the most distant corner of the box by crawling only along the edges of the cube and without ever revisiting a place it has been. How many different paths can the ant take to the most distant corner?

A. 6 B.12 C.18 D.24 E.30

Make the cube and select two opposite corners. One where the ant is right now and the second is where it wants to reach. Notice that from its current position, it has 3 different paths that it can take i.e. it has 3 possible options. Make the ant move on any one path out of these 3. Once one path is chosen, it has two different paths it can take (it cannot take the third one since it cannot revisit the third point). Make the ant move on any one path out of these 2. Now, from this point, it again has 3 options to reach the point where it wanted to reach. Notice that the case will be the same even if you had selected different paths in the first two moves because it is a cube so all sides are the same.

Total number of different paths = 3*2*3 = 18

Hi Karishma I could not get how there are three paths from the second point. Could you please explain in detail. Thanks

Re: An ant is clinging to one corner of a box in the shape of a [#permalink]

Show Tags

16 Jul 2014, 12:55

JusTLucK04 wrote:

@ Bunuel I have to type it all over again coz u deleted my last post..

Here how does the ant have 3 choices after the second path..It again has 2 choices.. Also it misses all the complex paths that the ant visits not in 3 steps..say in 5 or 7 steps..(It is possible)

Either I misunderstood the Q and the E or the explanation is incorrect

I guess the way would be: No of ways to do in- 3 steps: 3*2*1=6 5 steps: 3*2*1*1*1=6 7 steps: 3*2*1*1*1*1*1=6 No more steps are possible: total 18 ways

Experts please comment

Bumping for review...Karishma & Bunuel..please review the solution in view of the above approach I have posted _________________

Appreciate the efforts...KUDOS for all Don't let an extra chromosome get you down..

An ant is clinging to one corner of a box in the shape of a [#permalink]

Show Tags

16 Jul 2014, 21:57

2

This post received KUDOS

Expert's post

JusTLucK04 wrote:

JusTLucK04 wrote:

@ Bunuel I have to type it all over again coz u deleted my last post..

Here how does the ant have 3 choices after the second path..It again has 2 choices.. Also it misses all the complex paths that the ant visits not in 3 steps..say in 5 or 7 steps..(It is possible)

Either I misunderstood the Q and the E or the explanation is incorrect

I guess the way would be: No of ways to do in- 3 steps: 3*2*1=6 5 steps: 3*2*1*1*1=6 7 steps: 3*2*1*1*1*1*1=6 No more steps are possible: total 18 ways

Experts please comment

Bumping for review...Karishma & Bunuel..please review the solution in view of the above approach I have posted

Here is the reason the number of paths is 3*2*3 and how it takes everything into consideration:

Attachment:

Ques3.jpg [ 6.31 KiB | Viewed 2259 times ]

I think the first two steps are clear so the first step is taken in 3 ways and second step in 2 ways. Now, draw the cube and see that the ant would be at one of three points (the points where you reach after traversing 2 edges) - E, C, G

For each of these points, there are 3 unique ways in which the ant can reach the desired vertex.

1st way - Directly go to the desired point. If it is an E, this means EF 2nd way - Go via 3 edges e.g. if it came from AD- DE, it goes EH-HG-GF 3rd way - Go via 5 edges e.g. if it came from AD- DE, it goes EH-HG-GB-BC-CF Since it is a cube, we know that what works for one edge, will work for other two as well.

So you multiply 3*2 by 3 to get 18. _________________

An ant is clinging to one corner of a box in the shape of a [#permalink]

Show Tags

16 Jul 2014, 22:00

Expert's post

JusTLucK04 wrote:

JusTLucK04 wrote:

@ Bunuel I have to type it all over again coz u deleted my last post..

Here how does the ant have 3 choices after the second path..It again has 2 choices.. Also it misses all the complex paths that the ant visits not in 3 steps..say in 5 or 7 steps..(It is possible)

Either I misunderstood the Q and the E or the explanation is incorrect

I guess the way would be: No of ways to do in- 3 steps: 3*2*1=6 5 steps: 3*2*1*1*1=6 7 steps: 3*2*1*1*1*1*1=6 No more steps are possible: total 18 ways

Experts please comment

Bumping for review...Karishma & Bunuel..please review the solution in view of the above approach I have posted

As for your solution, it is correct too, of course. You chose to split it into "number of paths used". But note the 1s you used in 5 steps and 7 steps. It means that paths are unique and the method involves some unnecessary counting. A cube gives us symmetry and it would be good to use that. _________________

Re: An ant is clinging to one corner of a box in the shape of a [#permalink]

Show Tags

01 Sep 2015, 07:09

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. _________________

Re: An ant is clinging to one corner of a box in the shape of a [#permalink]

Show Tags

06 Sep 2015, 02:37

At first stage ant has three ways, right? At the second stage ant has only two ways, since it cannot return back on its path. At the third stage Ant has only one way to its destination. Henceforth, 3x2x1=6

Since there are three paths at the first stage we just need to add the outcomes of each three ways: 6+6+6=18

gmatclubot

Re: An ant is clinging to one corner of a box in the shape of a
[#permalink]
06 Sep 2015, 02:37

So, my final tally is in. I applied to three b schools in total this season: INSEAD – admitted MIT Sloan – admitted Wharton – waitlisted and dinged No...

A few weeks ago, the following tweet popped up in my timeline. thanks @Uber_Mumbai for showing me what #daylightrobbery means!I know I have a choice not to use it...

“This elective will be most relevant to learn innovative methodologies in digital marketing in a place which is the origin for major marketing companies.” This was the crux...