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If there are twice as many women as men in a group and an eq [#permalink]
08 Sep 2012, 05:01

00:00

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Difficulty:

35% (medium)

Question Stats:

68% (03:07) correct
32% (01:30) wrong based on 38 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?

Re: If there are twice as many women as men in a group and an eq [#permalink]
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.

Re: If there are twice as many women as men in a group and an eq [#permalink]
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.

Re: If there are twice as many women as men in a group and an eq [#permalink]
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.

Re: If there are twice as many women as men in a group and an eq [#permalink]
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.

gmatclubot

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