Last visit was: 24 Apr 2026, 13:55 It is currently 24 Apr 2026, 13:55
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,065
 [8]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,065
 [8]
Out of 200 dog owners, is the number of owners who run their dogs 22 May 2024, 01:36
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

46% (01:18) correct 54% (01:40) wrong based on 391 sessions

History

Date
Time
Result
Not Attempted Yet
­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


­
ShowHide Answer
Official Answer
A
User avatar
Sukrit_08
User avatar
Joined: 06 Apr 2024
Last visit: 17 Jul 2024
Posts: 8
Own Kudos:
8
 [1]
Given Kudos: 5
Posts: 8
Kudos: 8
 [1]
Out of 200 dog owners, is the number of owners who run their dogs 22 May 2024, 02:44
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Isn’t it possible that an owner neither walks nor runs their dog?

Posted from my mobile device
User avatar
prantorboni
User avatar
Joined: 28 Nov 2020
Last visit: 03 Nov 2025
Posts: 147
Own Kudos:
150
 [1]
Given Kudos: 221
Products:
My Reviews
Posts: 147
Kudos: 150
 [1]
Out of 200 dog owners, is the number of owners who run their dogs 22 May 2024, 04:01
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­(1) All of the dog owners who run their dogs also walk their dogs
From the information stated above, to the question, the number of owners who run their dogs greater than the number of owners who walk their dogs? the answer would be "No". The number can be equal or less but certainly not more than the number of dogs walk. Let's assume, there are dog owners who only walk their dogs, still the answer would be "No". Let's assume one more thing, there are dog owners who neither run their dogs nor walk, still the answer would be "No". So, in all the circumstances, using the information stated in clause (1), we can answer the question. Certainly, A is sufficient.

(2) 75 dog owners walk their dogs
Using the information, we cannot reach out to a conclusion that how many dog owners actually run their dogs. So, B is not sufficient to answer the question.

Answer A.­
User avatar
Nidzo
User avatar
Joined: 26 Nov 2019
Last visit: 02 Aug 2025
Posts: 958
Own Kudos:
1,478
 [2]
Given Kudos: 59
Location: South Africa
Posts: 958
Kudos: 1,478
 [2]
Out of 200 dog owners, is the number of owners who run their dogs 22 May 2024, 07:34
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Creating a 3x3 matrix:

\begin{tabular}{|l|l|l|l|}
    \hline
        ~ & W & nW & T \\ \hline
        R & ~ & ~ & ~ \\ \hline
        nR & ~ & ~ & ~ \\ \hline
        T & ~ & ~ & 200 \\ \hline
    \end{tabular}
 ­
(1) All of the dog owners who run their dogs also walk their dogs

Let this be represented by x, which means

\begin{tabular}{|l|l|l|l|}
    \hline
        ~ & W & nW & T \\ \hline
        R & x & 0 & x \\ \hline
        nR & ~ & ~ & ~ \\ \hline
        T & ~ & ~ & 200 \\ \hline
    \end{tabular}

Looking at the table and the info provided by this stem, the number of owners who run their dogs is \(x\), while the number of owners who walk their dogs has a minimum value of \(x\) (if every person who walks their dog also runs their dog) and a maximum that will exceed \(x\) if there are people who walk but do not run their dogs.

Representing that algebraically, \(Walk ≥ Run\). In other words, the number who run their dogs cannot ever exceed the number who walk their dogs. This is enough to answer the question.

SUFFICIENT

(2) 75 dog owners walk their dogs

Putting this info into the table, and any values which can be workout:

\begin{tabular}{|l|l|l|l|}
    \hline
        ~ & W & nW & T \\ \hline
        R & ~ & ~ & ~ \\ \hline
        nR & ~ & ~ & ~ \\ \hline
        T & 75 & 125 & 200 \\ \hline
    \end{tabular}­

Without any further information, it is impossible to deduce whether number of owners who run their dogs greater than the number of owners who walk their dogs.

INSUFFICIENT


​​​​​​​ANSWER A­
User avatar
OJA
User avatar
Joined: 21 Aug 2024
Last visit: 19 Feb 2026
Posts: 33
Own Kudos:
6
Given Kudos: 298
Location: India
Schools: HEC Sept '26
GPA: 4
Schools: HEC Sept '26
Posts: 33
Kudos: 6
Out of 200 dog owners, is the number of owners who run their dogs 02 Apr 2025, 18:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I also assumed the same and answered E ? Could someone explain this ?
Sukrit_08
Isn’t it possible that an owner neither walks nor runs their dog?

Posted from my mobile device
Show more
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,065
 [1]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,065
 [1]
Out of 200 dog owners, is the number of owners who run their dogs 02 Apr 2025, 22:18
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
OJA
I also assumed the same and answered E ? Could someone explain this ?
Sukrit_08
­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

Isn’t it possible that an owner neither walks nor runs their dog?

Posted from my mobile device
Show more

Yes, it is possible that some owners neither walk nor run their dogs - the question doesn’t say all 200 owners do one or the other.

But that doesn’t affect Statement (1).

Statement (1) says: "All of the dog owners who run their dogs also walk their dogs."

This means everyone in the "run" group is also in the "walk" group, so R ≤ W, no matter how many total owners actually walk or run their dogs. Therefore, R > W is not possible under this condition.

So even if many owners do neither, R can never be greater than W, making the answer to the question a definite "No" - which is why Statement (1) is still sufficient.

Hope it helps.
Moderators:
Bunuel
Math Expert
109818 posts
kingbucky
498 posts
Gmat860sanskar
212 posts