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

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What percent of a group of people are women with red hair? [#permalink] New post 23 Jul 2012, 03:45
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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.

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Difficulty: 550
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Re: What percent of a group of people are women with red hair? [#permalink] New post 23 Jul 2012, 03:45
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SOLUTION

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.

Answer: E.
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Re: What percent of a group of people are women with red hair? [#permalink] New post 25 Jul 2012, 01:34
Let women be x and men be y;

Then based on the first condition; 0.05x of the women are red-haired, thus % of red haired women as a group = .05x/x+y => Not Sufficient

Second Condition: 0.1y = number of red-haired men; thus, not sufficient

Combining, not extra information.. still we cannot derive the percentage of red-haired women as the group.

Thus, E
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Re: What percent of a group of people are women with red hair? [#permalink] New post 27 Jul 2012, 06:45
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SOLUTION

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.

Answer: E.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: What percent of a group of people are women with red hair? [#permalink] New post 29 Apr 2013, 13:02
I thought are was enough becuase it said what percentage of a group of people are women with red hair.

the statment one says 5% of the women in the group have red hair
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Re: What percent of a group of people are women with red hair? [#permalink] New post 29 Oct 2013, 22:07
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What percent of a group of people are women with red hair? Based on question stem there is not much work that can be performed prior to evaluating the 2 statements. However, it may be helpful to understand that to determine the percent of a group you must have a value for the part and for the whole or the % of the part of the whole.

(1) Of the women in the group, 5 percent have red hair. - I/S - We don't know what % (part) of women represent of the whole even though we know what percent of the women have red hair. In addition we don't know have many classifications are in the group - is it men & women, men, women and children. Lots of unknowns.

(2) Of the men in the group, 10 percent have red hair. I/S - from the stmt. we know that there are men in the group but we still don't what % (part) of group (whole) men represents. We could back solve to determine the % of women. Therefore another insufficient stmt.

Taking both stmts together, its still I/S. We don't know the size of the group, % or value that are women or men. If we had that information we could solve because we known what percent of women have red hair based on stmt 1. So Answer is E.

Difficulty level seems appropriate - 550.
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Re: What percent of a group of people are women with red hair? [#permalink] New post 18 May 2014, 09:55
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IMO E

What we need to know --> (Red haired women)/Total x 100

1) 0.05 w = red hair women ...but doesn't tell us anything about the total

insufficient

2) only tells us about red haired men

c) combining doesn't help because we don't know the total numbers of women, men or the total population
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What percent of a group of people are women with red hair? [#permalink] New post 18 Jun 2014, 19:39
Bunuel wrote:
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.

Practice Questions
Question: 2
Page: 275
Difficulty: 550


Hi Bunuel,

I want to confirm 1) the meaning of the question and 2) the OA explanation here.

1. Percent of a group of people are women with red hair = women with red hair/total number of people in group OR Percent of a group of people are women with red hair = women with red hair/total number of women in group ? Which one is correct? I think both is correct because OA explanation quoted as following clearly mentions that.

2. OA explanation (OG12-p290) for the (1) of the question says that: "This indicates that 5 percent of the women have red hair, but neither the total number of women nor the total number of people in the group is known. Therefore, further information is needed; NOT sufficient". If OA includes "the total number of women" as the denominator, then (1) should be correct because clearly (1) is stated that: Of the women in the group, 5 percent have red hair. I understand this statement like this: women with red hair/women in group = 5%. Does that mean we already know the number of women and the % of women with red hair. It should be sufficient. Right?

Please give your comment,
Thank you so much!
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Re: What percent of a group of people are women with red hair? [#permalink] New post 21 Jun 2014, 06:23
Expert's post
LucyDang wrote:
Bunuel wrote:
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.

Practice Questions
Question: 2
Page: 275
Difficulty: 550


Hi Bunuel,

I want to confirm 1) the meaning of the question and 2) the OA explanation here.

1. Percent of a group of people are women with red hair = women with red hair/total number of people in group OR Percent of a group of people are women with red hair = women with red hair/total number of women in group ? Which one is correct? I think both is correct because OA explanation quoted as following clearly mentions that.

2. OA explanation (OG12-p290) for the (1) of the question says that: "This indicates that 5 percent of the women have red hair, but neither the total number of women nor the total number of people in the group is known. Therefore, further information is needed; NOT sufficient". If OA includes "the total number of women" as the denominator, then (1) should be correct because clearly (1) is stated that: Of the women in the group, 5 percent have red hair. I understand this statement like this: women with red hair/women in group = 5%. Does that mean we already know the number of women and the % of women with red hair. It should be sufficient. Right?

Please give your comment,
Thank you so much!


What percent of a group of people are women with red hair?
The question asks to find (women with red hair)/(total number of people).

(1) Of the women in the group, 5 percent have red hair
(women with red hair) = 0.05*(total # of women) --> so we need to find 0.05*(total # of women)/(total number of people).

Here the OG says: neither the total number of women nor the total number of people in the group is known. Thus we cannot find the required ratio.

Does this make sense?
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What percent of a group of people are women with red hair? [#permalink] New post 25 Jun 2014, 22:07
Bunuel wrote:
LucyDang wrote:
Bunuel wrote:
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.

Practice Questions
Question: 2
Page: 275
Difficulty: 550


Hi Bunuel,

I want to confirm 1) the meaning of the question and 2) the OA explanation here.

1. Percent of a group of people are women with red hair = women with red hair/total number of people in group OR Percent of a group of people are women with red hair = women with red hair/total number of women in group ? Which one is correct? I think both is correct because OA explanation quoted as following clearly mentions that.

2. OA explanation (OG12-p290) for the (1) of the question says that: "This indicates that 5 percent of the women have red hair, but neither the total number of women nor the total number of people in the group is known. Therefore, further information is needed; NOT sufficient". If OA includes "the total number of women" as the denominator, then (1) should be correct because clearly (1) is stated that: Of the women in the group, 5 percent have red hair. I understand this statement like this: women with red hair/women in group = 5%. Does that mean we already know the number of women and the % of women with red hair. It should be sufficient. Right?

Please give your comment,
Thank you so much!


What percent of a group of people are women with red hair?
The question asks to find (women with red hair)/(total number of people).

(1) Of the women in the group, 5 percent have red hair
(women with red hair) = 0.05*(total # of women) --> so we need to find 0.05*(total # of women)/(total number of people).

Here the OG says: neither the total number of women nor the total number of people in the group is known. Thus we cannot find the required ratio.

Does this make sense?


Yes, it does!! Many thanks, Bunuel!!
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Re: What percent of a group of people are women with red hair?   [#permalink] 25 Jun 2014, 22:07
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