|
|
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.
22 Dec 2021, 12:39
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
72% (03:21) correct
28%
(03:28)
wrong
based on 185
sessions
History
Date
Time
Result
Not Attempted Yet
Among the members of club XYZ, 42% are post-graduates, 43% are sportsmen, and 44% are politicians. Among them, 12% are both post-graduates and sportsmen, 13% are both sportsmen and politicians, 14% are post-graduates and politicians, and 4% are post-graduates, sportsmen and politicians. Thirty-six members of XYZ are neither post-graduates nor politicians nor sportsmen.
How many people come under at least one of the categories ?
A.400
B.414
C.564
D.540
E.560
How many people come under at least one of the categories ?
A.400
B.414
C.564
D.540
E.560
22 Dec 2021, 15:49
Kudos
Bookmarks
akshayuberoi
Breaking Down the Info:
We can try adding the three single categories first. This gives us 129%, and we accounted for the double-cross sections twice.
Then we can subtract 12%, 13%, and 14% to get 90% and remove the double-count.
Finally, the 90% does not account for the triple-cross section, so let us finally add up the 4% to get 94%. This accounts for all the people who are in any of the one categories.
Thus 6% of the total population belongs to "none". 36 members belong to the "none" category. Then 94% of the population category would be \(\frac{94\%}{6\%}*36 = 94*6 = 540 + 24 = 564\)
Answer: C
22 Nov 2024, 03:53
Kudos
Bookmarks
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
