GRE Prep 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 24Get an Extra 30% Off Target Test Prep Plans
08:00 PM EDT
-11:59 PM EDT
Grab 30% off any Target Test Prep GRE plan during our Flash Sale and join Brian and many other students who have used Target Test Prep to score high on the GRE. Just enter the coupon code FLASH30 at checkout to save big.
In a graduating class of 236 students, 142 took algebra and 121 took
[#permalink]
22 Jul 2021, 05:46
22 Jul 2021, 05:46
Expert Reply
1
Bookmarks
00:00
Question Stats:
56% (00:59) correct
43% (01:12) wrong based on 16 sessions
Hide Show timer Statistics
In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest number of students that could have taken both algebra and chemistry?
(A) 21
(B) 27
(C) 37
(D) 121
(E) 142
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 21
(B) 27
(C) 37
(D) 121
(E) 142
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: In a graduating class of 236 students, 142 took algebra and 121 took
[#permalink]
22 Jul 2021, 08:28
22 Jul 2021, 08:28
explanation plz
Re: In a graduating class of 236 students, 142 took algebra and 121 took
[#permalink]
22 Jul 2021, 10:09
22 Jul 2021, 10:09
1
I have solved using venn diagrams concept.
Here we get in total 4 regions where
Region 1 consists of students who took only algebra
Region 2 consists of students who took only chemistry
Region 3 consists of students who took both algebra and chemistry
Region 4 consists of students who took neither
Now if we want to maximize the students who took both then we have to take as many students as possible till either of the region who took only algebra or chemistry becomes zero. In this case as no. Of students in chemistry is minimum so maximum no of students who took both is 121.
Hope you got the explanation....
Posted from my mobile device
Here we get in total 4 regions where
Region 1 consists of students who took only algebra
Region 2 consists of students who took only chemistry
Region 3 consists of students who took both algebra and chemistry
Region 4 consists of students who took neither
Now if we want to maximize the students who took both then we have to take as many students as possible till either of the region who took only algebra or chemistry becomes zero. In this case as no. Of students in chemistry is minimum so maximum no of students who took both is 121.
Hope you got the explanation....
Posted from my mobile device
