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.
In a class of 180 students, the number of students who passed in Mathe
[#permalink]
13 Sep 2023, 02:00
13 Sep 2023, 02:00
Expert Reply
4
Bookmarks
00:00
Question Stats:
54% (02:08) correct
45% (02:27) wrong based on 44 sessions
Hide Show timer Statistics
In a class of 180 students, the number of students who passed in Mathematics but not in Chemistry is less than the total number of students who passed in Chemistry, and exactly 10 students failed in both the subjects
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Numbers of students who passed only in mathematics |
85 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: In a class of 180 students, the number of students who passed in Mathe
[#permalink]
19 Sep 2023, 08:59
19 Sep 2023, 08:59
2
Math Not Math Total
Chemistry Y
Not Chemistry X 10 180-Y
Total 180
The number of students who passed in Mathematics but not in Chemistry= Mathematics Only=X
Total number of students who passed in Chemistry= Y
From the table. we can solve equation;
X+10=180-Y
X+Y=170
It is given that X<Y----
Add x on both side of the inequality
X+X<Y+X
2X<X+Y
where X+Y=170
So, 2X<170
X<85 and hence Quantity B is greater.
Chemistry Y
Not Chemistry X 10 180-Y
Total 180
The number of students who passed in Mathematics but not in Chemistry= Mathematics Only=X
Total number of students who passed in Chemistry= Y
From the table. we can solve equation;
X+10=180-Y
X+Y=170
It is given that X<Y----
Add x on both side of the inequality
X+X<Y+X
2X<X+Y
where X+Y=170
So, 2X<170
X<85 and hence Quantity B is greater.
In a class of 180 students, the number of students who passed in Mathe
[#permalink]
14 Dec 2023, 09:07
14 Dec 2023, 09:07
3
Carcass please check its correct ,
Formula for overlapping set : T - N = only A + only B + Both
Total = T, Chemistry = C , Math's = M , both(chem & Math's) = B , Neither chem nor math's = N
T - N = Only M + Only C + B
180 - 10 = Only M + Only C + B
As we know C > Only M
170 = Only M + (> Only M) + B
170 = (> 2Only M) + B
170 = >2M (Total M = Only M + B )
85 => M
Formula for overlapping set : T - N = only A + only B + Both
Total = T, Chemistry = C , Math's = M , both(chem & Math's) = B , Neither chem nor math's = N
T - N = Only M + Only C + B
180 - 10 = Only M + Only C + B
As we know C > Only M
170 = Only M + (> Only M) + B
170 = (> 2Only M) + B
170 = >2M (Total M = Only M + B )
85 => M
