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.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
16 Sep 2014, 01:06
Kudos
Bookmarks
What is the maximum number of pieces that a circular pie can be divided into by making four linear cuts?
A. 6
B. 8
C. 9
D. 10
E. 11
A. 6
B. 8
C. 9
D. 10
E. 11
16 Sep 2014, 01:06
Kudos
Bookmarks
Official Solution:
What is the maximum number of pieces that a circular pie can be divided into by making four linear cuts?
A. 6
B. 8
C. 9
D. 10
E. 11
To solve this type of combinatorial problem, pattern recognition is often the key.
Maximum pieces:
0 cuts result in 1 whole piece;
1 cut will produce 2 pieces: \(1 + 1 = 2\);
2 cuts will produce 4 pieces: \(2 + 2 = 4\);
3 cuts will produce 7 pieces: \(4 + 3 = 7\);
4 cuts will produce 11 pieces: \(7 + 4 = 11\).
Following the same pattern:
5 cuts will produce 16 pieces: \(11 + 5 = 16\);
6 cuts will produce 22 pieces: \(16 + 6 = 22\);
7 cuts will produce 29 pieces: \(22 + 7 = 29\).
In general, the \(k_{th}\) cut will add \(k\) new pieces.
Thus, with four linear cuts, a circular pie can be divided into a maximum of 11 pieces.
Answer: E
What is the maximum number of pieces that a circular pie can be divided into by making four linear cuts?
A. 6
B. 8
C. 9
D. 10
E. 11
To solve this type of combinatorial problem, pattern recognition is often the key.
Maximum pieces:
0 cuts result in 1 whole piece;
1 cut will produce 2 pieces: \(1 + 1 = 2\);
2 cuts will produce 4 pieces: \(2 + 2 = 4\);
3 cuts will produce 7 pieces: \(4 + 3 = 7\);
4 cuts will produce 11 pieces: \(7 + 4 = 11\).
Following the same pattern:
5 cuts will produce 16 pieces: \(11 + 5 = 16\);
6 cuts will produce 22 pieces: \(16 + 6 = 22\);
7 cuts will produce 29 pieces: \(22 + 7 = 29\).
In general, the \(k_{th}\) cut will add \(k\) new pieces.
Thus, with four linear cuts, a circular pie can be divided into a maximum of 11 pieces.
Answer: E
General Discussion
01 Apr 2015, 10:06
Kudos
Bookmarks
WOW !
This problem is a really smartly designed !
Got it wrong though
This problem is a really smartly designed !
Got it wrong though
this question ..... is just too much of a trap 
