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Each of the students in a certain class received a single

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Each of the students in a certain class received a single [#permalink] New post 03 Jun 2007, 02:08
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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.
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Re: DS [#permalink] New post 03 Jun 2007, 15:28
Himalayan wrote:
LM 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?

( i ) Of those who received a P, 40 percent were females.

( ii ) Of those who received either an F or I, 80 percent were males.

Could some explain with the help of Venn Diagrams???


seems E for me.


yeah, it is E. Could you please explain? ( Did you use Venn Diagrams? )
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 [#permalink] New post 03 Jun 2007, 15:55
LM

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
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 [#permalink] New post 04 Jun 2007, 07:58
Sometimes making a table is easier than getting into Venn diagrams.

I found it easy to get to E after I filled in the empty boxes and still couldnt say I had sufficient information.
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 [#permalink] New post 04 Jun 2007, 17:13
vikramjit_01 wrote:
Sometimes making a table is easier than getting into Venn diagrams.

I found it easy to get to E after I filled in the empty boxes and still couldnt say I had sufficient information.


Thanks! This is what I was looking for in form of either table or venn diagram!
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Re: Each of the students in a certain class received a single [#permalink] New post 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?
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Re: Each of the students in a certain class received a single [#permalink] New post 08 Jun 2013, 03:42
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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.
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Re: [#permalink] New post 08 Jun 2013, 17:24
vikramjit_01 wrote:
Sometimes making a table is easier than getting into Venn diagrams.

I found it easy to get to E after I filled in the empty boxes and still couldnt say I had sufficient information.


kamaal kar diya vikramjit , badhiya bahut badhiya!
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Re: Each of the students in a certain class received a single [#permalink] New post 17 Oct 2013, 05:49
LM 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.


Yup, its E. We can't assume that P,F or I are equally weighted.
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Re: Each of the students in a certain class received a single [#permalink] New post 03 Jan 2015, 20:12
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Re: Each of the students in a certain class received a single [#permalink] New post 17 Mar 2015, 09:47
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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.

Bunuel - thoughts?
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Re: Each of the students in a certain class received a single [#permalink] New post 18 Mar 2015, 19:10
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Hi GMAT01,

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.

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Re: Each of the students in a certain class received a single   [#permalink] 18 Mar 2015, 19:10
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