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 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.
May 1308:30 AM PDT
-09:30 AM PDT
In Episode 4 of our GMAT Ninja CR series, we tackle the most intimidating CR question type: Boldface & "Legalese" questions. If you've ever stared at an answer choice that reads, "The first is a consideration introduced to counter a position that...- May 14
08:30 AM PDT
-09:30 AM PDT
Most GMAT test-takers are intimidated by the hardest GMAT Verbal questions. In this session, Target Test Prep GMAT instructor Erika Tyler-John, a 100th percentile GMAT scorer, will show you how top scorers break down challenging Verbal questions..
16 Sep 2014, 01:04
Kudos
Bookmarks
Among the 200 cars exhibited at an auto show, 50 were equipped with built-in air conditioners and 63 with traction control systems. If 12% of the cars with air conditioners were also equipped with traction control systems, what percentage of the cars without air conditioners were equipped with traction control systems?
A. 35
B. 36
C. 38
D. 40
E. 45
A. 35
B. 36
C. 38
D. 40
E. 45
16 Sep 2014, 01:04
Kudos
Bookmarks
Official Solution:
Among the 200 cars exhibited at an auto show, 50 were equipped with built-in air conditioners and 63 with traction control systems. If 12% of the cars with air conditioners were also equipped with traction control systems, what percentage of the cars without air conditioners were equipped with traction control systems?
A. 35
B. 36
C. 38
D. 40
E. 45
Out of the 50 cars equipped with air conditioners, 6 (\(12\%\) of \(50 = 0.12*50 = 6\)) also had traction control systems. This implies that there were \(63 - 6 = 57\) cars equipped with traction control systems but lacking air conditioners. Since there were \(200 - 50 = 150\) cars without air conditioners, the percentage of cars without air conditioners that were equipped with traction control systems is \(\frac{57}{150}*100\% = 38\%\).
Another way to solve this is by using a two-set matrix, as shown below. The black numbers are what we already know from the problem. The red numbers are what we figure out based on that info. What we're really looking for is the ratio between the numbers in the yellow boxes.
Answer: C
Among the 200 cars exhibited at an auto show, 50 were equipped with built-in air conditioners and 63 with traction control systems. If 12% of the cars with air conditioners were also equipped with traction control systems, what percentage of the cars without air conditioners were equipped with traction control systems?
A. 35
B. 36
C. 38
D. 40
E. 45
Out of the 50 cars equipped with air conditioners, 6 (\(12\%\) of \(50 = 0.12*50 = 6\)) also had traction control systems. This implies that there were \(63 - 6 = 57\) cars equipped with traction control systems but lacking air conditioners. Since there were \(200 - 50 = 150\) cars without air conditioners, the percentage of cars without air conditioners that were equipped with traction control systems is \(\frac{57}{150}*100\% = 38\%\).
Another way to solve this is by using a two-set matrix, as shown below. The black numbers are what we already know from the problem. The red numbers are what we figure out based on that info. What we're really looking for is the ratio between the numbers in the yellow boxes.
Answer: C
