Forum Home > GMAT > Quantitative > Problem Solving (PS)
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.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
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. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options.
27 Dec 2016, 09:09
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
63% (01:50) correct
37%
(02:03)
wrong
based on 160
sessions
History
Date
Time
Result
Not Attempted Yet
At Jonah Johnston High School, there are 300 students in the senior class. If all the seniors who take pre-calculus also take physics and 200 seniors are currently taking physics, which is a possible number of seniors taking pre-calculus?
A. 500
B. 400
C. 300
D. 250
E. 150
A. 500
B. 400
C. 300
D. 250
E. 150
27 Dec 2016, 09:46
Kudos
Bookmarks
Let's look at the solution to the above question.
Since, all students who take up pre-calculus take up Physics, it is clear that the group of students taking pre-calculus is a subset of the group of students taking up Physics. In simple words, the number of students taking up Pre-Calculus should be less than or equal to the number of students taking up Physics.
Note: There can be some students who only take up Physics and do not take up Pre-Calculus. Hence, the number of students taking Pre-Calculus can also be less than the number of students taking up Physics.
Since 200 students took Physics, on basis of our inference we can say that Number of people taking Pre-calculus should be less than 200. The only number which is less than 200 among the answer choices is 150. Hence, choice E is the correct answer.
Since, all students who take up pre-calculus take up Physics, it is clear that the group of students taking pre-calculus is a subset of the group of students taking up Physics. In simple words, the number of students taking up Pre-Calculus should be less than or equal to the number of students taking up Physics.
Note: There can be some students who only take up Physics and do not take up Pre-Calculus. Hence, the number of students taking Pre-Calculus can also be less than the number of students taking up Physics.
Since 200 students took Physics, on basis of our inference we can say that Number of people taking Pre-calculus should be less than 200. The only number which is less than 200 among the answer choices is 150. Hence, choice E is the correct answer.
27 Dec 2016, 10:56
Kudos
Bookmarks
Attachment:
OverlappingSet.jpg [ 564.42 KiB | Viewed 3703 times ]
Hence, seniors opting for precalculus but not physics is zero.
Hence total number of seniors:
Not opting for precalculus = 300-x
Not opting for Physics= 100
Opting for physics=200
(As in the image)
Try putting the given alternatives:
Only for E)150,the possibility won't be negative for any case.
Hence,Answer choice E should be correct.
