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If there are twice as many women as men in a group and an eq

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Manager
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Joined: 03 Jul 2012
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GMAT 1: 710 Q50 V36
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If there are twice as many women as men in a group and an eq [#permalink] New post 08 Sep 2012, 05:01
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Difficulty:

  25% (medium)

Question Stats:

72% (03:07) correct 28% (01:38) wrong based on 36 sessions
If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?

A) 3⁄20
B) 11⁄60
C) 9⁄40
D) 1⁄3
E) 11⁄20
[Reveal] Spoiler: OA
Director
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WE: Science (Education)
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Kudos [?]: 476 [0], given: 43

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Re: If there are twice as many women as men in a group and an eq [#permalink] New post 08 Sep 2012, 05:14
mehulsayani wrote:
If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?

A) 3⁄20
B) 11⁄60
C) 9⁄40
D) 1⁄3
E) 11⁄20


Consider a group of 100 men and 200 women, a total of 300 people. 30% of them, which is 90, form a group of people who don't own a car.
Half of them are men, and the other half are women, more precisely 45.
It means that there are 100 - 45 = 55 men who own a car, and this represents 55/300 = 11/60 of the total.

Answer B
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Manager
Manager
avatar
Joined: 03 Jul 2012
Posts: 106
GMAT 1: 710 Q50 V36
GPA: 3.9
WE: Programming (Computer Software)
Followers: 1

Kudos [?]: 19 [0], given: 13

Re: If there are twice as many women as men in a group and an eq [#permalink] New post 08 Sep 2012, 05:33
EvaJager wrote:
mehulsayani wrote:
If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?

A) 3⁄20
B) 11⁄60
C) 9⁄40
D) 1⁄3
E) 11⁄20


Consider a group of 100 men and 200 women, a total of 300 people. 30% of them, which is 90, form a group of people who don't own a car.
Half of them are men, and the other half are women, more precisely 45.
It means that there are 100 - 45 = 55 men who own a car, and this represents 55/300 = 11/60 of the total.

Answer B


Now consider a group of 20 women and 40 men, 30% of ppl can't drive i.e. 18, half of them are men, so 9 men don't own a car. So, no. of men who own a car is 40-9 = 31.

SO, the required ratio is 31/60. which is what I was getting. Correct me if I am wrong somewhere.
Manager
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Location: India
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GMAT Date: 09-30-2012
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Kudos [?]: 18 [0], given: 8

Re: If there are twice as many women as men in a group and an eq [#permalink] New post 08 Sep 2012, 05:38
mehulsayani wrote:
EvaJager wrote:
mehulsayani wrote:
If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?

A) 3⁄20
B) 11⁄60
C) 9⁄40
D) 1⁄3
E) 11⁄20


Consider a group of 100 men and 200 women, a total of 300 people. 30% of them, which is 90, form a group of people who don't own a car.
Half of them are men, and the other half are women, more precisely 45.
It means that there are 100 - 45 = 55 men who own a car, and this represents 55/300 = 11/60 of the total.

Answer B


Now consider a group of 20 women and 40 men, 30% of ppl can't drive i.e. 18, half of them are men, so 9 men don't own a car. So, no. of men who own a car is 40-9 = 31.

SO, the required ratio is 31/60. which is what I was getting. Correct me if I am wrong somewhere.



Men 20, Women 40 !
Twice women not men.
Director
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Re: If there are twice as many women as men in a group and an eq [#permalink] New post 08 Sep 2012, 05:38
mehulsayani wrote:
EvaJager wrote:
mehulsayani wrote:
If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?

A) 3⁄20
B) 11⁄60
C) 9⁄40
D) 1⁄3
E) 11⁄20


Consider a group of 100 men and 200 women, a total of 300 people. 30% of them, which is 90, form a group of people who don't own a car.
Half of them are men, and the other half are women, more precisely 45.
It means that there are 100 - 45 = 55 men who own a car, and this represents 55/300 = 11/60 of the total.

Answer B


Now consider a group of 20 women and 40 men, 30% of ppl can't drive i.e. 18, half of them are men, so 9 men don't own a car. So, no. of men who own a car is 40-9 = 31.

SO, the required ratio is 31/60. which is what I was getting. Correct me if I am wrong somewhere.


If there are twice as many women as men - you should have 20 men and 40 women. Then continue.
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Re: If there are twice as many women as men in a group and an eq   [#permalink] 08 Sep 2012, 05:38
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