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I started to use Venn but there was no point IMHO.

We don't know what P or F or I represent. no proportion of the total class was given.

does 40% of P represent 10% of the entire class? 90% of the class?

what does 20% of F or I represent of the total percentage of the class? we dont know. maybe my reasoning is wrong, but that is how I came up with my answer: E

Re: Each of the students in a certain class received a single [#permalink]

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07 Jun 2013, 19:34

So taking 1&2 together we know 80% of those with a fail/incomplete were male so 20% with F&I were female correct? If 40% of those who passed were female, then we can determine that 30% of the students were female.

This was my rationale towards an answer of C. Can anyone explain where I went wrong?

Each of the students in a certain class received a single grade of P, F,or I.What percent of the students in the class were females?

(1) Of those who received a P, 40 percent were females. (1) Of those who received either an F or I, 80 percent were males.

So taking 1&2 together we know 80% of those with a fail/incomplete were male so 20% with F&I were female correct? If 40% of those who passed were female, then we can determine that 30% of the students were female.

This was my rationale towards an answer of C. Can anyone explain where I went wrong?

No, the correct answer is E. Consider the following examples:

P=50 and F+I=50, then the # of females = 0.4*50 + 0.2*50 = 30. P=10 and F+I=90, then the # of females = 0.4*10 + 0.2*90 = 22.

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03 Jan 2015, 20:12

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Re: Each of the students in a certain class received a single [#permalink]

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17 Mar 2015, 09:47

1

This post received KUDOS

Takeaways: This one was a bit tricky because I approached the problem as a double matrix set but it had 3 variables in the columns and 2 variables(male/female) in the rows. I also attempted to do percentages that lead up to a total but it was getting more complex than I would like. What has helped was recognizing this as a weighted average problem. Therefore an easy method could be: Each of the students received a single grade so T (total) = F + P +I Since we have male and female : T=(M)F+(F)F+(M)P+(F)P+(M)I+(F)I or organize like this T=(M)F+(M)P+(M)I+(F)F+(F)P+(F)I Translating the statement word by word I got (W/100)T= F? which is the main question we are looking to answer but made it easier on myself by just writing (F/T)*100%=? 1. Of those who received a P, 40% were females This is clearly insufficient because (F)(P)= .4P and (M)(P)= .6P does not give us any actual numbers to plug in and we still need the other weighted averages.

2. Of those who received either an F or I , 80% were males. T=.8F+.2F+ (M)P+(F)P+(.8)I+(.2)I Insufficient because we need actual numbers because weighted averages depend on quantities

(1) and (2) Insufficient because although we have several percentages we still need quantities because we can have 80/100 total students in f and I be males but then have 4/10 students in P be women.

You ARE correct. When dealing with these type of broad percent-based questions, it's important to be a bit cynical. You do NOT know how many students are in each subgroup, so it would take a LOT of information to answer this question.

As an example, when Fact 1 tells us "Of those who received a P, 40 percent were females", we don't know if 5 people got a P (in which 2 of them were female) or 500 people got a P (in which 200 of them were female). Making the individual group numbers relatively big or relatively small will impact the overall calculation. This can save you some time and effort.

Re: Each of the students in a certain class received a single [#permalink]

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20 Sep 2015, 20:02

1

This post was BOOKMARKED

Bunuel wrote:

Nwsmith11 wrote:

Each of the students in a certain class received a single grade of P, F,or I.What percent of the students in the class were females?

(1) Of those who received a P, 40 percent were females. (1) Of those who received either an F or I, 80 percent were males.

So taking 1&2 together we know 80% of those with a fail/incomplete were male so 20% with F&I were female correct? If 40% of those who passed were female, then we can determine that 30% of the students were female.

This was my rationale towards an answer of C. Can anyone explain where I went wrong?

No, the correct answer is E. Consider the following examples:

P=50 and F+I=50, then the # of females = 0.4*50 + 0.2*50 = 30. P=10 and F+I=90, then the # of females = 0.4*10 + 0.2*90 = 22.

Hope it's clear.

@Bunnel - Is it safe to say that in these type of questions until we get the entire class strength in either of the statements, we would always choose E. As stated in your example, we are plugging different set of values and getting different set of answers.

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23 Oct 2016, 00:31

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