GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2019, 06:53

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.

Close

Request Expert Reply

Confirm Cancel

A number of individuals volunteer to walk dogs at a certain kennel thi

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58429
A number of individuals volunteer to walk dogs at a certain kennel thi  [#permalink]

Show Tags

New post 02 Feb 2015, 07:23
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (01:54) correct 36% (01:43) wrong based on 108 sessions

HideShow timer Statistics

A number of individuals volunteer to walk dogs at a certain kennel this afternoon. The kennel's dogs number between 43 and 47, inclusive. If each dog is walked by only one volunteer this afternoon, can the dogs be divided equally among the volunteers?

(1) More than 5 individuals volunteer to walk the dogs.

(2) Fewer than 8 individuals volunteer to walk the dogs.

Kudos for a correct solution.

_________________
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8006
Re: A number of individuals volunteer to walk dogs at a certain kennel thi  [#permalink]

Show Tags

New post 02 Feb 2015, 08:14
1
Bunuel wrote:
A number of individuals volunteer to walk dogs at a certain kennel this afternoon. The kennel's dogs number between 43 and 47, inclusive. If each dog is walked by only one volunteer this afternoon, can the dogs be divided equally among the volunteers?

(1) More than 5 individuals volunteer to walk the dogs.

(2) Fewer than 8 individuals volunteer to walk the dogs.

Kudos for a correct solution.


hi.. ans will depend on the factors of 43, 44, 45, 46 and 47
1) statement 1 tells us that indl are more than 5.. insufficient as 6 will not distribute the indls but 11 would..
2) statement 2 tells us that indl are less than 8.. insufficient as 6 will not distribute the indls but 2 would..
Combined sufficient as only 6 and 7 are left and both will not divide the indls since 6 and 7 are not factors of any of numbers from 43 to 47 both inclusive ans C
_________________
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Feb 2014
Posts: 291
Location: United States
Concentration: Strategy, General Management
Reviews Badge
Re: A number of individuals volunteer to walk dogs at a certain kennel thi  [#permalink]

Show Tags

New post 02 Feb 2015, 11:13
1
1
Bunuel wrote:
A number of individuals volunteer to walk dogs at a certain kennel this afternoon. The kennel's dogs number between 43 and 47, inclusive. If each dog is walked by only one volunteer this afternoon, can the dogs be divided equally among the volunteers?

(1) More than 5 individuals volunteer to walk the dogs.

(2) Fewer than 8 individuals volunteer to walk the dogs.

Kudos for a correct solution.


number of volunteers are unknown. Dogs can be 43, 44, 45, 46, or 47.
Basically we need to know the number of volunteers and/or number of dogs to see if the two are divisible by each other.

Statement 1: more than 5 volunteers walk the dogs.
if volunteers=11 and dogs equal 44, 44/11 works. Yes
if volunteers equal 6, then none of the dog numbers (43 through 47) would be divisible and and the dogs could not be divided equally. No.
Insufficient

Statement 2: Fewer than 8 volunteers.
if volunteers=5 and dogs equal 45, 45/5 works. Yes
if volunteers=4 and dogs equal 43, 43/4 is not divisible. No
Insufficient

Combined, volunteers equal 6 or 7. None of the potential numbers for dogs, 43, 44, 45, 46, or 47 is divisible by 6 or 7.
So that means the dogs could not be equally distributed among the volunteers.
Sufficient

Answer: C
Manager
Manager
avatar
Joined: 17 Dec 2013
Posts: 56
GMAT Date: 01-08-2015
GMAT ToolKit User
Re: A number of individuals volunteer to walk dogs at a certain kennel thi  [#permalink]

Show Tags

New post 02 Feb 2015, 13:52
Quote:
A number of individuals volunteer to walk dogs at a certain kennel this afternoon. The kennel's dogs number between 43 and 47, inclusive. If each dog is walked by only one volunteer this afternoon, can the dogs be divided equally among the volunteers?

(1) More than 5 individuals volunteer to walk the dogs.

(2) Fewer than 8 individuals volunteer to walk the dogs.


Dogs: 43 / 44 / 45 / 46 / 47
we can search for the distinct factors, but we should first look at our possibilities:

(1) n>5, so n could be 7: its not a distinct factor. or n could be 22, which is a distinct factor. -> insuff.
(2) n<8, so n could be 7: still not a distinct factor. or n could be 2, which is a distinct factor. -> insuff

(1/2) 5<n<8 leaves us with 6 and 7. these numbers are both no distinct factors. so insuff

E!
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: A number of individuals volunteer to walk dogs at a certain kennel thi  [#permalink]

Show Tags

New post 02 Feb 2015, 22:00
1
eddyki wrote:
Quote:
A number of individuals volunteer to walk dogs at a certain kennel this afternoon. The kennel's dogs number between 43 and 47, inclusive. If each dog is walked by only one volunteer this afternoon, can the dogs be divided equally among the volunteers?

(1) More than 5 individuals volunteer to walk the dogs.

(2) Fewer than 8 individuals volunteer to walk the dogs.


Dogs: 43 / 44 / 45 / 46 / 47
we can search for the distinct factors, but we should first look at our possibilities:

(1) n>5, so n could be 7: its not a distinct factor. or n could be 22, which is a distinct factor. -> insuff.
(2) n<8, so n could be 7: still not a distinct factor. or n could be 2, which is a distinct factor. -> insuff

(1/2) 5<n<8 leaves us with 6 and 7. these numbers are both no distinct factors. so insuff

E!


Actually, both statements together are sufficient.
The number of volunteers is either 6 or 7.
The number of dogs is 43 or 44 or 45 or 46 or 47. All these numbers are not divisible by 6. All of them are also not divisible by 7.
So it doesn't matter exactly how many dogs there are, they will NOT be divisible by the number of volunteers. So the dogs definitely CANNOT be equally divided among the volunteers. We have a definite 'NO' answer and hence the two statements together are sufficient.

Answer (C)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Current Student
avatar
B
Joined: 02 Sep 2014
Posts: 86
Location: United States
GMAT 1: 770 Q50 V44
GPA: 3.97
GMAT ToolKit User Reviews Badge
Re: A number of individuals volunteer to walk dogs at a certain kennel thi  [#permalink]

Show Tags

New post 02 Feb 2015, 23:13
1
Bunuel wrote:
A number of individuals volunteer to walk dogs at a certain kennel this afternoon. The kennel's dogs number between 43 and 47, inclusive. If each dog is walked by only one volunteer this afternoon, can the dogs be divided equally among the volunteers?

(1) More than 5 individuals volunteer to walk the dogs.

(2) Fewer than 8 individuals volunteer to walk the dogs.

Kudos for a correct solution.


IMO answer is C - both together are sufficient.
#dogs is 43,44,45,46,47.

1) if n>5 in some cases we can divide number of dogs equally and in some we cannot
2) If n<8 same scenario.
Both are individually insufficient.

Combining we have n = 6 or 7, in this case we CANNOT divide any number from 43 to 47 equally in 6 or 7 people. So answer is NO and the conditions are sufficient.
Answer: C.

Press kudos if you agree. :)
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58429
Re: A number of individuals volunteer to walk dogs at a certain kennel thi  [#permalink]

Show Tags

New post 09 Feb 2015, 04:31
Bunuel wrote:
A number of individuals volunteer to walk dogs at a certain kennel this afternoon. The kennel's dogs number between 43 and 47, inclusive. If each dog is walked by only one volunteer this afternoon, can the dogs be divided equally among the volunteers?

(1) More than 5 individuals volunteer to walk the dogs.

(2) Fewer than 8 individuals volunteer to walk the dogs.

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:


This is a yes/no divisibility question. If we use the variable d to represent the number of dogs, and v to represent the number of volunteers, then the question is whether d/v is an integer.

Obviously, d and v must be integers, because half a dog or volunteer would make no sense. According to the question stem, then, d = 43, 44, 45, 46, or 47.

Testing numbers is probably the best way to evaluate the statements. Start with Statement 1. If v > 5, v could equal 6. If v=6, then d/v is definitely not an integer, because none of the possible values of d are multiples of 6. But what if v=9? If v=9 and d=45, d/v would be an integer. Thus, it’s possible that d=43 and v=6 and the answer is “no”, or that d=45 and v=9 and the answer is “yes”. Statement 1 alone is not sufficient. Eliminate A and D.

Test numbers again to evaluate Statement 2. If v < 8, v could equal 6. We already tried v=6 for Statement 1 alone, and we found that the answer would be “no” when v=6. But what if v=2? If v=2 and d=44, then d/v would be an integer. Thus, it’s possible that d=43 and v=6 and the answer is “no”, or that d=44 and v=2 and the answer is “yes”. Statement 2 alone is not sufficient. Eliminate B.

With both statements combined, we know that v=6 or v=7. If v=6, then every value of d would yield a “no” to the yes/no question. What if v=7? Same scenario. None of the possible values of d – 43, 44, 45, 46, or 47 – is divisible by 7. Thus, with the question stem and both statements combined, we have sufficient information to answer the yes/no question. Specifically, the answer to the yes/no question is a definite “no”, d/v is definitely not an integer. The correct answer is C.
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13392
Re: A number of individuals volunteer to walk dogs at a certain kennel thi  [#permalink]

Show Tags

New post 24 Jan 2019, 13:08
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: A number of individuals volunteer to walk dogs at a certain kennel thi   [#permalink] 24 Jan 2019, 13:08
Display posts from previous: Sort by

A number of individuals volunteer to walk dogs at a certain kennel thi

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne