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# Of the 100 pet owners who responded to a survey, 50 own cats, 42 own

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3335
Location: India
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Of the 100 pet owners who responded to a survey, 50 own cats, 42 own  [#permalink]

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Updated on: 02 Nov 2018, 04:07
00:00

Difficulty:

5% (low)

Question Stats:

87% (00:46) correct 13% (01:11) wrong based on 47 sessions

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Of the 100 pet owners who responded to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?

(A) 7
(B) 8
(C) 10
(D) 12
(E) 15

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Originally posted by pushpitkc on 02 Nov 2018, 04:02.
Last edited by Bunuel on 02 Nov 2018, 04:07, edited 1 time in total.
Edited the question.
Director
Joined: 09 Aug 2017
Posts: 500
Re: Of the 100 pet owners who responded to a survey, 50 own cats, 42 own  [#permalink]

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02 Nov 2018, 08:51
All= A+B- A&B-neither
100= 50+42-7+neither
E is correct.
Senior Manager
Joined: 22 Feb 2018
Posts: 419
Re: Of the 100 pet owners who responded to a survey, 50 own cats, 42 own  [#permalink]

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02 Nov 2018, 09:51
OA:E

\begin{matrix}
& Cats & No \quad Cats & Total\\
Dogs & 7 & 35 & 42 \\
No \quad Dogs & 43 & 15 & 58 \\
Total & 50 & 50 & 100 \\
\end{matrix}

The number of respondents own neither a cat nor a dog : $$15$$
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Re: Of the 100 pet owners who responded to a survey, 50 own cats, 42 own  [#permalink]

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03 Nov 2018, 17:52
pushpitkc wrote:
Of the 100 pet owners who responded to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?

(A) 7
(B) 8
(C) 10
(D) 12
(E) 15

We can create the equation:

Total = cat owners + dog owners - both + neither

100 = 50 + 42 - 7 + n

100 = 85 + n

15 = n

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Re: Of the 100 pet owners who responded to a survey, 50 own cats, 42 own   [#permalink] 03 Nov 2018, 17:52
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