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:

Two objects are placed on opposite corners of a cube. The [#permalink]

Show Tags

15 Jan 2008, 12:35

5

This post received KUDOS

7

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

60% (04:16) correct
40% (02:13) wrong based on 20 sessions

HideShow timer Statistics

Two objects are placed on opposite corners of a cube. The objects are designed only to move along the edges of the cube and are equipped with a power device which allows them to do so at the same constant speed of S inches per minute. If both objects begin moving at the same time, each taking one of the shortest paths towards the initial position of the other, what is the probability that the two objects will collide?

Each object should pass trough 3 consecutive edges. Two objects can collide at the middle point of second edge in paths. There are exactly 6 middle points for a cube. Therefore, the probability is 1/6*1/6=1/36

a good question (+1) but it seems be out of GMAT.
_________________

Two objects are placed on opposite corners of a cube. The objects are designed only to move along the edges of the cube and are equipped with a power device which allows them to do so at the same constant speed of S inches per minute. If both objects begin moving at the same time, each taking one of the shortest paths towards the initial position of the other, what is the probability that the two objects will collide?

From 2 opposite corners of a cube, there are 6 shortest routes connecting each other (along 3 edges). Out of these 6, if the same path is chosen by the 2 objects then collision will result at the center of 2 edge. So probability is 1/6.

we have 6 points. the total number of different combinations is 6(first object)*6(second object)=36 the number of combinations with collision is 6 (not 1 as I thought) Therefore, \(p = \frac{6}{36} = \frac{1}{6}\)
_________________

Two objects are placed on opposite corners of a cube. The objects are designed only to move along the edges of the cube and are equipped with a power device which allows them to do so at the same constant speed of S inches per minute. If both objects begin moving at the same time, each taking one of the shortest paths towards the initial position of the other, what is the probability that the two objects will collide?

Ans: Each object has 6 ways to reach the other object's initial position. (passing through 3 connected edges) Hence total number of possibilities = 6 * 6 = 36

Of these 36 ways , collision will occur if each object chooses the same path, i.e both should follow one of the possible 6 ways = 6 Probability that they will collide = 6/36 = 1/6 =

Two objects are placed on opposite corners of a cube. The objects are designed only to move along the edges of the cube and are equipped with a power device which allows them to do so at the same constant speed of S inches per minute. If both objects begin moving at the same time, each taking one of the shortest paths towards the initial position of the other, what is the probability that the two objects will collide?

We need the possible short paths from the opposite corners.

The object would need to travel 2 times horizontal and once vertical to reach the opposite corner via the shortest path. Hence total number of paths = 3! (arrange HHV in diff comb).

The probability of collision can be if both the objects take the same path. Therefore = 1 / 3! = 1/6
_________________

Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

Two objects are placed on opposite corners of a cube. The objects are designed only to move along the edges of the cube and are equipped with a power device which allows them to do so at the same constant speed of S inches per minute. If both objects begin moving at the same time, each taking one of the shortest paths towards the initial position of the other, what is the probability that the two objects will collide?

Tell me if this is the right method too. This method that I took seemed simpler when compared.

There are 6 shortest ways to travel to the opposite corner of the cube. First object can take route in 6/6 ways.

If the second object has to collide into this, it has to choose the one route that the first object has chosen. So in 1/6 ways.

Therefore total probability = (6/6)*(1/6) = 1/6

************************ Kudos to me if you like this post!

I used the following approach, though don't no is it right. Any object has to go 3 points to reach the opposite corner. The total number of ways is 3*2*1=6. Hence, two objects will collide if they chose the same route and the chance is 1/6.

My ans is 1/6..bt i solved in another way... there are 6 ways by which any object move from one end to its opp end(shortest way).. and if both object has to collide thn they will move on same way..means there is only one way.. so prob is 1/6

So object 1 has 3 steps to go to object 2's initial position. Object one can choose from among 3 edges, from that from two edges then with 1 edge so 3 x 2 x 1 = 6. Object 2 has the same 6 possible routes.

6 x 6 = 36 all possible comb. routes of object 1 and 2

Re: Two objects are placed on opposite corners of a cube. The [#permalink]

Show Tags

25 Feb 2012, 19:10

1

This post received KUDOS

There are six possible paths:

The first object's path could be picked in 6 ways: 6/6 The second object's path needs to pick the same path: 1/6 Probability that they're both on the same path: 6/6 * 1/6 = 1/6 = 16.67%

Re: Two objects are placed on opposite corners of a cube. The [#permalink]

Show Tags

11 Sep 2014, 03:30

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: Two objects are placed on opposite corners of a cube. The [#permalink]

Show Tags

10 Mar 2016, 07:47

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.
_________________

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...