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 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
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.
05 Nov 2017, 01:38
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
61% (01:22) correct
39%
(01:21)
wrong
based on 500
sessions
History
Date
Time
Result
Not Attempted Yet
In Motor City 90 percent of the population own a car, 15 percent own a motorcycle, and everybody owns one or the other or both. What is the percentage of motorcycle owners who own cars?
(A) 5%
(B) 15%
(C) 33 1/3%
(D) 50%
(E) 90%
(A) 5%
(B) 15%
(C) 33 1/3%
(D) 50%
(E) 90%
05 Nov 2017, 12:27
Kudos
Bookmarks
Bunuel
Attachment:
matrix.png [ 8.03 KiB | Viewed 26833 times ]
Total number of people = 100. Fill in:
Cars = 90
Motorcycles = 15
No Car, No Motorcycle = 0
Then:
1) Number who do not own a car: 100 - 90 = 10 (No Car)
2) Number of motorcycle owners who do not own a car MUST = 10 because 0 own neither, and the column must add up to 10 (so 10 = Motorcycle and No Car)
3) Number of car AND motorcycle owners: 15 - 10 = 5 - because row MUST add up to 15 (so 5 = Car and Motorcycle)
What is the percentage of motorcycle owners who own cars?
Motorcycle owners = 15
Motorcycle owners who own cars = 5
\(\frac{5}{15} * 100 =\) (.33 * 100) = 33 1/3 %
Answer C
II - Formula for Overlapping Sets
A + B - Both + Neither = Total number
Because we are given percentages, let the total number of people = 100
Let A = people who own cars = 90 percent = 90
Let B = people who own motorcycles = 15 percent = 15
Both?
Everyone owns a car or a motorcycle or both: "Neither" = 0
A + B - Both + Neither = Total number
90 + 15 - Both + 0 = 100
- Both = -5
Both = 5
5 people own both a motorcycle and a car.
What is the percentage of motorcycle owners who own cars?
Motorcycle owners = B, so: what percentage of B is "both"?
Or: "both" = what percentage of B?
Both = 5, B = 15
\(\frac{5}{15} * 100 =\) (.33 * 100) = 33 1/3%
Answer C
06 Nov 2017, 01:02
Kudos
Bookmarks
It is a simple set theory question.
AUB = A + B - A∩B
AUB is overall: 100 (as everyone owns one or other)
A = 90 (cars)
B = 15 (bike)
A∩B is who owns both.
100 = 90 + 5 - A∩B
A∩B = 5
A.
AUB = A + B - A∩B
AUB is overall: 100 (as everyone owns one or other)
A = 90 (cars)
B = 15 (bike)
A∩B is who owns both.
100 = 90 + 5 - A∩B
A∩B = 5
A.
