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# What percent of a group of people are women with red hair?

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Intern
Joined: 24 Apr 2010
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What percent of a group of people are women with red hair? [#permalink]

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02 May 2010, 07:38
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5% (low)

Question Stats:

80% (01:38) correct 20% (00:45) wrong based on 151 sessions

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What percent of a group of people are women with red hair?

(1) Of the women in the group, 5 percent have red hair.
(2) Of the men in the group, 10 percent have red hair.

Official Guide 12 Question

 Question: 2 Page: 273 Difficulty: 600

Find All Official Guide Questions

Video Explanations:

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-percent-of-a-group-of-people-are-women-with-red-hair-136196.html
[Reveal] Spoiler: OA
Senior Manager
Joined: 25 Jun 2009
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Re: What percent of a group of people are women with red hair? [#permalink]

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02 May 2010, 10:51
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perseverant wrote:
This is a DS question from the official guide 12th edition, page 290 Q2, this seemed a really easy question, but I got it wrong and the worst part is I dont understand the explanation. Why statement 1 alone is not sufficient? it seems to be providing the number we are been asked for. What am I missing? could someone explain this?
Thanks!

I am writing the question for people ..!

What percent of a group of people are women with red hair?

(1) Of the women in the group, 5 percent have red hair.
(2) Of the men in the group, 10 percent have red hair.

In order to solve this question we need to know the total number of people in the group and then the number of women with red hair, amongst them.
St 1- Insufficient- It just says number of women with red hair amongst women ( NOT the whole group )

St2 - Insufficient - Doesn't mention anything about the women, with red hair

Together also Insufficient , for eg if the total of people are 100 and say 60 women and 40 men,

Then from 1 we know 5 % have red hair which means women with red hair = 3, which gives the percent of women with red hair in the group as 3 %

but now say women were 40 and men 60, then this percentage changes from 3 to 2 ( 5 % of 40 )

We have different answers hence both are also insufficient.

I hope this help ..!
Intern
Joined: 24 Apr 2010
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Re: What percent of a group of people are women with red hair? [#permalink]

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02 May 2010, 15:41
Thanks nitishmahajan!

I overlooked at the fact that statement 1 only gives the percent out of women and not from the entire group.
Sorry for not copying the question, it was my first question in the forum
Senior Manager
Joined: 25 Jun 2009
Posts: 306
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Re: What percent of a group of people are women with red hair? [#permalink]

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02 May 2010, 15:51
perseverant wrote:
Thanks nitishmahajan!

I overlooked at the fact that statement 1 only gives the percent out of women and not from the entire group.
Sorry for not copying the question, it was my first question in the forum

Welcome to the club ..!

You are welcome mate ... Just make sure you copy the questions.. that increases the probability of getting replies ...!
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Re: What percent of a group of people are women with red hair? [#permalink]

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21 Oct 2014, 16:38
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Re: What percent of a group of people are women with red hair? [#permalink]

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21 Oct 2014, 16:49
What percent of a group of people are women with red hair?

(1) Of the women in the group, 5 percent have red hair.
(2) Of the men in the group, 10 percent have red hair.

Even taken together the statements are not sufficient to answer the question, since we don't know what percent of the group are women.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-percent-of-a-group-of-people-are-women-with-red-hair-136196.html
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Re: What percent of a group of people are women with red hair?   [#permalink] 21 Oct 2014, 16:49
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