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GRE Math Challenge #13- Ratio of Cats and Dogs

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soumya1989

Director

Joined: 16 May 2014

Posts: 592

GRE 1: Q165 V161

GRE Math Challenge #13- Ratio of Cats and Dogs [#permalink]

18 Aug 2014, 10:21

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In Townville, the ratio of cats to dogs is 4 to 11.
In Villageton, the ratio of cats to dogs is 3 to 8.

Quantity A	Quantity B
Number of cats in Townville	Number of cats in Villageton

A)The quantity in Column A is greater
B)The quantity in Column B is greater
C)Both are Equal.
D)The relationship cannot be determined from the information given

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Naruto Uzumaki

Intern

Joined: 15 Aug 2016

Posts: 3

Re: GRE Math Challenge #13- Ratio of Cats and Dogs [#permalink]

18 Aug 2016, 00:06

The answer is option D.

Because there might be any initial number of cats and dogs in both the vilages.

GreenlightTestPrep

GRE Prep Club Legend

Joined: 10 Apr 2015

Posts: 6215

Re: GRE Math Challenge #13- Ratio of Cats and Dogs [#permalink]

19 Aug 2016, 05:31

soumya1989 wrote:

Attachment:

q22.png

A)The quantity in Column A is greater
B)The quantity in Column B is greater
C)Both are Equal.
D)The relationship cannot be determined from the information given

In Townville, ratio of cats to dogs is 4 to 11
There are infinitely many possibilities.
Here are are few:
case 1: There are 4 cats and 11 dogs
case 2: There are 8 cats and 22 dogs
case 3: There are 12 cats and 33 dogs
case 4: There are 16 cats and 44 dogs
etc...

In Villageton, ratio of cats to dogs is 3 to 8
Once again, there are infinitely many possibilities:
3 cats and 8 dogs
6 cats and 16 dogs
9 cats and 24 dogs
12 cats and 32 dogs

As you can see, it's possible for the number of cats in Townville to be GREATER THAN the number of cats in Villageton.
It's also possible for the number of cats in Townville to be LESS THAN the number of cats in Villageton.
It's possible for the number of cats in Townville to be EQUAL TO the number of cats in Villageton.

Answer:

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