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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]  03 Jun 2007, 03:08
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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]  03 Jun 2007, 16:28
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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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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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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Director
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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]  07 Jun 2013, 20:34
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]  08 Jun 2013, 04:42
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]  08 Jun 2013, 18:24
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.

Re:   [#permalink] 08 Jun 2013, 18:24
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