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A veterinarian has 70 clients who own cats, dogs, or both. O

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A veterinarian has 70 clients who own cats, dogs, or both. O [#permalink] New post 06 Dec 2017, 02:33
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Question Stats:

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A veterinarian has 70 clients who own cats, dogs, or both. Of these clients, 36 own cats, including 20 clients who own both cats and dogs. Which of the following statements must be true?

Indicate \(all\) such statements.

A. There are 54 clients who own dogs.
B. There are 34 clients who own dogs but not cats.
C. There are 16 clients who own cats but not dogs.
[Reveal] Spoiler: OA

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Re: A veterinarian has 70 clients who own cats, dogs, or both. O [#permalink] New post 06 Dec 2017, 06:31
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Carcass wrote:
A veterinarian has 70 clients who own cats, dogs, or both. Of these clients, 36 own cats, including 20 clients who own both cats and dogs. Which of the following statements must be true?

Indicate \(all\) such statements.

A. There are 54 clients who own dogs.
B. There are 34 clients who own dogs but not cats.
C. There are 16 clients who own cats but not dogs.


[Reveal] Spoiler: OA
OA in 24h


Here,
36 clients owns cats, including 20 clients who won Cats and Dogs

i.e Clients who own only cats = 36-20 = 16 clients

Now No. clients who won only dogs = 70 - 36 = 34 clients

and No. of clients who won dogs = 34 + 20 = 54 (since 20 clients won both cats and dogs)

Hence all option are correct
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Re: A veterinarian has 70 clients who own cats, dogs, or both. O [#permalink] New post 06 Dec 2017, 11:20
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Added the OAs. Well done :-D
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Re: A veterinarian has 70 clients who own cats, dogs, or both. O   [#permalink] 06 Dec 2017, 11:20
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A veterinarian has 70 clients who own cats, dogs, or both. O

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