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Out of 200 dog owners, is the number of owners who run their dogs

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Out of 200 dog owners, is the number of owners who run their dogs  [#permalink]

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New post 29 Nov 2018, 18:15
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Out of 200 dog owners, is the number of owners who run their dogs greater than the number of owners who walk their dogs?
1. All of the dog owners who run their dogs also walk their dogs
2. 75 dog owners walk their dogs
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Re: Out of 200 dog owners, is the number of owners who run their dogs  [#permalink]

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New post 30 Nov 2018, 04:18
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(1) if all those who run their dogs also walk their dogs, then number of dog owners who run their dogs will either be equal to those who walk their dogs OR it will be less than those who walk their dogs (latter will be the case where there are some owners who only walk their dogs and not run).

In any case, number of those who run their dogs can never be greater than those who walk their dogs. So this statement is sufficient to answer the question with a NO.

(2) 75 walk their dogs, but nothing given about those who run their dogs.
Not sufficient.

Hence A answer.

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Re: Out of 200 dog owners, is the number of owners who run their dogs  [#permalink]

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New post 30 Nov 2018, 17:03
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Jazzmin wrote:
Out of 200 dog owners, is the number of owners who run their dogs greater than the number of owners who walk their dogs?
1. All of the dog owners who run their dogs also walk their dogs
2. 75 dog owners walk their dogs



S1) We know 0 owners run but do not walk their dogs. If 0 dog owners walk but do not run their dogs, then then #run = #walk. If >0 dog owners walk and do not run, then #run < #walk. We can definitively answer No. SUFFCIENT

S2) We know 75 walk and 125 do not walk. We don't know anything about number that run. INSUFFICIENT

Answer A
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Re: Out of 200 dog owners, is the number of owners who run their dogs  [#permalink]

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New post 27 Dec 2018, 10:37
kylebecker9 wrote:
Jazzmin wrote:
Out of 200 dog owners, is the number of owners who run their dogs greater than the number of owners who walk their dogs?
1. All of the dog owners who run their dogs also walk their dogs
2. 75 dog owners walk their dogs



S1) We know 0 owners run but do not walk their dogs. If 0 dog owners walk but do not run their dogs, then then #run = #walk. If >0 dog owners walk and do not run, then #run < #walk. We can definitively answer No. SUFFCIENT

S2) We know 75 walk and 125 do not walk. We don't know anything about number that run. INSUFFICIENT

Answer A


Hi I have a question here for S2.

So as you have rightly pointed out that 125 do not walk. So cant we take this as the number of dog owners that run their dogs? If not, please explain why? The only point that I can think of here is that there could some out of the 125 who neither walk nor run their dogs. But this has not been explicitly stated.
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Out of 200 dog owners, is the number of owners who run their dogs  [#permalink]

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New post 27 Dec 2018, 10:43
aviejay wrote:
kylebecker9 wrote:
Jazzmin wrote:
Out of 200 dog owners, is the number of owners who run their dogs greater than the number of owners who walk their dogs?
1. All of the dog owners who run their dogs also walk their dogs
2. 75 dog owners walk their dogs



S1) We know 0 owners run but do not walk their dogs. If 0 dog owners walk but do not run their dogs, then then #run = #walk. If >0 dog owners walk and do not run, then #run < #walk. We can definitively answer No. SUFFCIENT

S2) We know 75 walk and 125 do not walk. We don't know anything about number that run. INSUFFICIENT

Answer A


Hi I have a question here for S2.

So as you have rightly pointed out that 125 do not walk. So cant we take this as the number of dog owners that run their dogs? If not, please explain why? The only point that I can think of here is that there could some out of the 125 who neither walk nor run their dogs. But this has not been explicitly stated.


Statement two tells us nothing about the number that run. There are four distinct groups (although some could contain 0 people) in the interaction between run and walk
    * walk and run
    * walk and do not run
    * do not walk and run
    * do not walk and do not run

So, from s2 we don't know how many run of the 75 that walk, or how many run of the 125 that do not walk

Does that make sense?
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Out of 200 dog owners, is the number of owners who run their dogs   [#permalink] 27 Dec 2018, 10:43
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Out of 200 dog owners, is the number of owners who run their dogs

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