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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.
[Reveal] Spoiler: OA
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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.
Re: Each of the students in a certain class received a single   [#permalink] 17 Oct 2013, 05:49
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