Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
May 1810:00 AM PDT
-11:00 AM PDT
Join us in a live GMAT practice session and solve 25 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
May 1212:00 PM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products. Ends 6/1
May 1501:00 PM IST
-11:00 AM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.- May 19
12:00 PM PDT
-01:00 PM PDT
Scoring 329 on the GRE is not always about using more books, more courses, or a longer study plan. In this episode of GRE Success Talks, Ashutosh shares his GRE preparation strategy, study plan, and test-day experience, explaining how he kept his prep.... - Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
30 Dec 2023, 22:28
Kudos
Bookmarks
Pablo wants to paint a cube, with each face being either blue or red. How many different ways can he paint the cube, if two cubes are considered different only when one cannot be reoriented to match the other?
A. 8
B. 10
C. 12
D. 32
E. 64
A. 8
B. 10
C. 12
D. 32
E. 64
30 Dec 2023, 22:28
Kudos
Bookmarks
Official Solution:
Pablo wants to paint a cube, with each face being either blue or red. How many different ways can he paint the cube, if two cubes are considered different only when one cannot be reoriented to match the other?
A. 8
B. 10
C. 12
D. 32
E. 64
To achieve his task, Pablo can paint the cube in the following different patterns:
• Pattern 1: All 6 faces are red.
• Pattern 2: 1 face is blue and 5 faces are red.
• Pattern 3: 2 adjacent faces are blue and the other 4 faces are red.
• Pattern 4: 2 opposite faces are blue and the other 4 faces are red.
• Pattern 5: 3 faces that share the same corner are blue and the other 3 faces are red.
• Pattern 6: 2 opposite faces and 1 adjoining face are blue and the other 3 faces are red.
• Pattern 7: 2 adjacent faces are red and the other 4 faces are blue.
• Pattern 8: 2 opposite faces are red and the other 4 faces are blue.
• Pattern 9: 1 face is red and 5 faces are blue.
• Pattern 10: All 6 faces are blue.
Therefore, Pablo can paint the cube in 10 distinct patterns.
Answer: B
Pablo wants to paint a cube, with each face being either blue or red. How many different ways can he paint the cube, if two cubes are considered different only when one cannot be reoriented to match the other?
A. 8
B. 10
C. 12
D. 32
E. 64
To achieve his task, Pablo can paint the cube in the following different patterns:
• Pattern 1: All 6 faces are red.
• Pattern 2: 1 face is blue and 5 faces are red.
• Pattern 3: 2 adjacent faces are blue and the other 4 faces are red.
• Pattern 4: 2 opposite faces are blue and the other 4 faces are red.
• Pattern 5: 3 faces that share the same corner are blue and the other 3 faces are red.
• Pattern 6: 2 opposite faces and 1 adjoining face are blue and the other 3 faces are red.
• Pattern 7: 2 adjacent faces are red and the other 4 faces are blue.
• Pattern 8: 2 opposite faces are red and the other 4 faces are blue.
• Pattern 9: 1 face is red and 5 faces are blue.
• Pattern 10: All 6 faces are blue.
Therefore, Pablo can paint the cube in 10 distinct patterns.
Answer: B
29 Sep 2025, 08:22
Kudos
Bookmarks
I did not quite understand the solution. Hi could you please explain the gap in my logic below
Each face can be painted either blue or red so 2 options for each face. Cube has 6 faces so total number of possibilities is 2^6
Thanks.
Each face can be painted either blue or red so 2 options for each face. Cube has 6 faces so total number of possibilities is 2^6
Thanks.
