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In a class of 180 students, the number of students who passed in Mathe

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In a class of 180 students, the number of students who passed in Mathe [#permalink] New post   13 Sep 2023, 02:00
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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


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.



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B
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Re: In a class of 180 students, the number of students who passed in Mathe [#permalink] New post   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.
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In a class of 180 students, the number of students who passed in Mathe [#permalink] New post   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
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Re: In a class of 180 students, the number of students who passed in Mathe [#permalink] New post   14 Dec 2023, 09:35
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Technically is A+B-B (Both)+N(Neither)= T(Total)

See here for all is regarding OS https://gre.myprepclub.com/forum/gre-qu ... tml#p54136
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Re: In a class of 180 students, the number of students who passed in Mathe [#permalink] New post   28 Jul 2025, 15:22
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a class of 180 students, the number of students who passed in Mathe [#permalink]
28 Jul 2025, 15:22
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