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# Each student was graded A,B orC.What percent of students are female?

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Manager
Joined: 12 Dec 2017
Posts: 77
Location: India
Schools: Yale '19, GMBA '20, XLRI
GMAT 1: 660 Q46 V35
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Each student was graded A,B orC.What percent of students are female?  [#permalink]

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21 Dec 2018, 08:57
3
00:00

Difficulty:

55% (hard)

Question Stats:

45% (01:04) correct 55% (01:15) wrong based on 47 sessions

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In a class, each student received a grade A, B or C. What percentage of students in class are females?
1) Of those who received B, 40% were females.
2) Of those who received A or C, 60% were males.
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1027
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Each student was graded A,B orC.What percent of students are female?  [#permalink]

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21 Dec 2018, 11:05
From statement 1:

Of those who received B, 40% were females. So of those who received 60% are males. Ratio of people who received A or C is not given.
Insufficient.

From statement 2:

Of those who received A or C, 60% were males. B ratio is not given.
Insufficient.

Combining both:
A - 60% males , 40% females.
B - 60% males, 40% females.
C - 60% males , 40% females.
Hence sufficient.

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Manhattan Prep Instructor
Joined: 04 Dec 2015
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Re: Each student was graded A,B orC.What percent of students are female?  [#permalink]

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21 Dec 2018, 16:55
1
kanakdaga wrote:
In a class, each student received a grade A, B or C. What percentage of students in class are females?
1) Of those who received B, 40% were females.
2) Of those who received A or C, 60% were males.

This is an interesting problem, because it plays with your expectations a little bit. My immediate first thought was that the answer would be E. That's because in almost all situations, you'd need to know the percent of students that received a B, versus an A or C. For instance, the answer to this problem would be E:

In a class, each student received a grade A, B or C. What percentage of students in class are females?
1) Of those who received B, 40% were females.
2) Of those who received A or C, 50% were males.

The only reason this one ends up being 'C' is because the two percents are the same - women make up 40% of each group in the class, so they make up 40% of the whole class, regardless of how big the groups are. And the problem disguises that by giving the 60% figure instead of the 40% one in the second statement - I almost didn't notice. Clever trick!
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Re: Each student was graded A,B orC.What percent of students are female?   [#permalink] 21 Dec 2018, 16:55
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