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21 Dec 2018, 08:57
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
59% (01:20) correct
41%
(01:18)
wrong
based on 281
sessions
History
Date
Time
Result
Not Attempted Yet
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.
1) Of those who received B, 40% were females.
2) Of those who received A or C, 60% were males.
21 Dec 2018, 16:55
Kudos
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kanakdaga
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!
General Discussion
21 Dec 2018, 11:05
Kudos
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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.
C is the answer.
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.
C is the answer.
