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.
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
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.
15 Dec 2018, 10:11
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (02:07) correct
22%
(02:46)
wrong
based on 319
sessions
History
Date
Time
Result
Not Attempted Yet
In a certain class of 66 students, 30 students study Science, 40 students study Humanities and 40 students study Dance. If all the students studied at least one of the subjects, then what is the maximum possible number of students who study all the three subjects?
A.38
B.35
C.32
D.22
E.20
16 Dec 2018, 02:12
Kudos
Bookmarks
science = a+b+d+e = 30
humanities = b+e+c+f = 40
dance = d+e+f+g = 40
(a+b+d+e) + (b+e+c+f) + (d+e+f+g )= 30 + 40 + 40 = 110
(a+b+c+d+e+f+g) + (b+e+d+e+f) = 110
66+(b+d+f+2e) = 110
Now to maximize e, we need to minimize b+d+f
Taking b,e,f, each = 0
2e = 110-66 = 44
e = 22
So, Maximum value of e = 22
Answer D
humanities = b+e+c+f = 40
dance = d+e+f+g = 40
(a+b+d+e) + (b+e+c+f) + (d+e+f+g )= 30 + 40 + 40 = 110
(a+b+c+d+e+f+g) + (b+e+d+e+f) = 110
66+(b+d+f+2e) = 110
Now to maximize e, we need to minimize b+d+f
Taking b,e,f, each = 0
2e = 110-66 = 44
e = 22
So, Maximum value of e = 22
Answer D
Attachments
question 3.jpg [ 28.33 KiB | Viewed 5847 times ]
27 Jan 2019, 06:05
Kudos
Bookmarks
gota900 I believe you can also try to estimate, which is still quite risky though.
If you look at it logically, the answer can't exceed the value of 30, which is the smallest group (Science people)
Now, looking at the answers, 22 is the closest to 30, which could be a correct value.
If you look at it logically, the answer can't exceed the value of 30, which is the smallest group (Science people)
Now, looking at the answers, 22 is the closest to 30, which could be a correct value.
