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On July I the ratio of men to women in Club X was 9 to 20. D

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 21566

On July I the ratio of men to women in Club X was 9 to 20. D [#permalink]

30 Jul 2019, 02:41

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54% (01:19) correct

45% (00:53) wrong

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On July I the ratio of men to women in Club X was 9 to 20. During the month, 2 additional men and 2 additional women joined the club, and no members dropped out.

Quantity A	Quantity B
The ratio of men to women in Club X at the end of July	\(\frac{1}{2}\)

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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GreenlightTestPrep

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Joined: 10 Apr 2015

Posts: 6038

On July I the ratio of men to women in Club X was 9 to 20. D [#permalink]

30 Jul 2019, 05:29

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Carcass wrote:

On July I the ratio of men to women in Club X was 9 to 20. During the month, 2 additional men and 2 additional women joined the club, and no members dropped out.

Quantity A	Quantity B
The ratio of men to women in Club X at the end of July	\(\frac{1}{2}\)

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

There are infinitely many scenarios in which the ratio of men to women can be 9 to 20
For example, there can be 9 men and 20 women
Or there can be 18 men and 40 women
Or there can be 27 men and 60 women
Or there can be 36 men and 80 women
etc

This suggests that we might consider testing some possible values

case i: One possible scenario is that there are 9 men and 20 women on July 1
After 2 additional men and 2 additional women joined the club, there are 11 men and 22 women
So, the NEW ratio of men to women = 11/22 = 1/2
We get:
Quantity A: 1/2
Quantity B: 1/2
In this case, the two quantities are equal

case ii: Another possible scenario is that there are 90 men and 200 women on July 1 (notice that the ratio of men to women is still 9 to 20)
After 2 additional men and 2 additional women joined the club, there are 92 men and 202 women
So, the NEW ratio of men to women = 92/202
We get:
Quantity A: 92/202
Quantity B: 1/2
In this case, the two quantities are NOT equal

Answer: D

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General Discussion

AlaminMolla

Manager

Joined: 22 May 2019

Posts: 58

Re: On July I the ratio of men to women in Club X was 9 to 20. D [#permalink]

30 Jul 2019, 05:15

I am getting C. But any explanation for OA D?
Thanks

bumpbot

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Joined: 07 Jan 2021

Posts: 2872

Re: On July I the ratio of men to women in Club X was 9 to 20. D [#permalink]

26 Jan 2021, 16:05

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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