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 350,000 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:

A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three [#permalink]
14 Jan 2010, 13:21

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

75% (hard)

Question Stats:

48% (01:53) correct
52% (01:14) wrong based on 140 sessions

A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many ways can the cube be painted?

Re: Permutations Again :) [#permalink]
14 Jan 2010, 13:37

apoorvasrivastva wrote:

A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many ways can the cube be painted? (A) 3 (B) 6 (C) 8 (D) 12 (E) 27

Any one side of the cube will be having 4 sides which can be termed as adjacent.. Isn't it ? Say for e.g side A it will be having 4 sides adjacent to it, one on left, one on right, one above and one below.

Re: Permutations Again :) [#permalink]
14 Jan 2010, 13:59

nitishmahajan, I agree with your assessment. There are 4 adjacent sides for every face of the cube.

Let's say side 1 is painted red, then the 4 adjacent sides can be either green or blue alternating. This can be done in 2 ways. GBGB BGBG Sixth side should be the same color as side 1.

For each color chosen for side 1(and side6) there are 2 ways of painting side 2,3,4 and 5. No. of colors that can be chosen for side 1(and side6) is 3. So 3*2 = 6..

Re: A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three [#permalink]
20 Dec 2012, 02:59

3

This post received KUDOS

Expert's post

apoorvasrivastva wrote:

A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many ways can the cube be painted?

(A) 3 (B) 6 (C) 8 (D) 12 (E) 27

If the base of the cube is red, then in order the adjacent faces to be painted with the different colors, the top must also be red. 4 side faces can be painted in Green-Blue-Green-Blue OR Blue-Green-Blue-Green (2 options).

But we can have the base painted in either of the three colors, thus the total number of ways to paint the cube is 3*2=6.

Re: A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three [#permalink]
28 Dec 2012, 00:48

So, do they asked this on test day? This drove me nuts.

Imagine a flattened cube... The three colored region will establish the other colors of the remaining faces of the cube.

For example: We assumed the sequence of color in the given image as RED on face#1 and BLUE on face#2 and GREEN on face#3. Since face#1 is RED then we know #4 and #5 cannot be RED. Since face #2 is BLUE, we know that #5 and #6 cannot be BLUE. Since face#3 is GREEN, we know #4 and #6 (the bottom) cannot be GREEN.

So, all we need is to count the possible number of arrangements of 3 colors.

Re: A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three [#permalink]
28 Dec 2012, 18:30

mbaiseasy wrote:

So, do they asked this on test day? This drove me nuts.

Imagine a flattened cube... The three colored region will establish the other colors of the remaining faces of the cube.

For example: We assumed the sequence of color in the given image as RED on face#1 and BLUE on face#2 and GREEN on face#3. Since face#1 is RED then we know #4 and #5 cannot be RED. Since face #2 is BLUE, we know that #5 and #6 cannot be BLUE. Since face#3 is GREEN, we know #4 and #6 (the bottom) cannot be GREEN.

So, all we need is to count the possible number of arrangements of 3 colors.

3! = 6

Yes these are the questions that GMAT will ask I think its from the quant review or from gmat prep, they want you to apply the knowledge _________________

Re: A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three [#permalink]
12 Sep 2013, 02:26

How about this approach? There are 3 colors and 6 sides. Same color can't be next to each other so put them on opposite sides. There are 3 opposite sides. So 3 colors 3 sides- no. of ways 3*2*1 = 6

Re: A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three [#permalink]
13 Feb 2014, 08:00

Actually this one works out like this. Cube has 6 faces and we are told adjacent are different therefore base different from side different from front. Three sides to choose the colors to paint them with. Well since we have three colors then 3! =6 (B) is the right answer

Hope it clarifies Cheers J

gmatclubot

Re: A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three
[#permalink]
13 Feb 2014, 08:00

hey guys, A metallurgist but currently working in a NGO and have scheduled my GMAT in December for second round .....u know. I read some but valuable blogs on this...

One thing I did not know when recruiting for the MBA summer internship was the following: just how important prior experience in the function that you're recruiting for...

Many of my classmates and I have been receiving queries from MBA aspirants who are interested in applying to SBS. The questions are usually focussed on the career opportunities after...