Author 
Message 
TAGS:

Hide Tags

EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11837
Location: United States (CA)
GRE 1: 340 Q170 V170

Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
Updated on: 08 Nov 2015, 17:28
Question Stats:
71% (01:19) correct 29% (02:06) wrong based on 128 sessions
HideShow timer Statistics
QUANT 4PACK SERIES Data Sufficiency Pack 3 Question 3 A pet store sells three...A pet store sells three types of animals: cats, dogs and exotic fish. If the ratio of cats to dogs in the store is currently 5 to 13 and there are currently 168 total pets in the store, then how many more dogs than exotic fish are currently in the store? (1) The ratio of cats to exotic fish in the store is currently 1 to 2 (2) There are currently 30 more exotic fish than cats in the store 48 Hour Window Answer & Explanation WindowEarn KUDOS! Post your answer and explanation. OA, and explanation will be posted after the 48 hour window closes. This question is part of the Quant 4Pack seriesScroll Down For Official Explanation
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************





Current Student
Joined: 20 Mar 2014
Posts: 2643
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
Updated on: 08 Nov 2015, 08:41
EMPOWERgmatRichC wrote: QUANT 4PACK SERIES Data Sufficiency Pack 3 Question 3 A pet store sells three...A pet store sells three types of animals: cats, dogs and exotic fish. If the ratio of cats to dogs in the store is currently 5 to 13 and there are currently 168 total pets in the store, then how many more dogs than exotic fish are currently in the store? (1) The ratio of cats to exotic fish in the store is currently 2 to 3 (2) There are currently 30 more exotic fish than cats in the store 48 Hour Window Answer & Explanation WindowEarn KUDOS! Post your answer and explanation. OA, and explanation will be posted after the 48 hour window closes. This question is part of the Quant 4Pack seriesScroll Down For Official Explanation Good question. Let cats, dogs, fishes be C,D and F respectively. C+D+F=168 C=5k, D=13k DF = ?Per statement 1, C/F=2/3 > No need to calculate. Clearly sufficient. Per statement 2, FC=30 > the only case possible is C=30, D=78, F=60. Sufficient. From FC=30 > F=30+5k > 5k+13k+30+5k=168 > 23k = 138 > k =6. D is the correct answer.
Originally posted by ENGRTOMBA2018 on 07 Nov 2015, 16:55.
Last edited by ENGRTOMBA2018 on 08 Nov 2015, 08:41, edited 1 time in total.
Corrected the typos.



SVP
Joined: 26 Mar 2013
Posts: 1682

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
08 Nov 2015, 08:39
Engr2012 wrote: EMPOWERgmatRichC wrote: QUANT 4PACK SERIES Data Sufficiency Pack 3 Question 3 A pet store sells three...A pet store sells three types of animals: cats, dogs and exotic fish. If the ratio of cats to dogs in the store is currently 5 to 13 and there are currently 168 total pets in the store, then how many more dogs than exotic fish are currently in the store? (1) The ratio of cats to exotic fish in the store is currently 2 to 3 (2) There are currently 30 more exotic fish than cats in the store 48 Hour Window Answer & Explanation WindowEarn KUDOS! Post your answer and explanation. OA, and explanation will be posted after the 48 hour window closes. This question is part of the Quant 4Pack seriesScroll Down For Official Explanation Good question. Let cats, dogs, fishes be C,D and F respectively. C+D+F=168 C=5k, D=13k DE = ?Per statement 1, C/E=2/3 > No need to calculate. Clearly sufficient. Per statement 2, EC=30 > the only case possible is C=30, D=75, F=60. Sufficient. From EC=30 > E=30+5k > 5k+13k+30+5k=168 > 23k = 138 > k =6. D is the correct answer. Hi Engr, Please review the highlighted part. i think D=78. Also, there is a typo error between E & F.



Current Student
Joined: 20 Mar 2014
Posts: 2643
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
08 Nov 2015, 08:46
Mo2men wrote:
Hi Engr, Please review the highlighted part. i think D=78. Also, there is a typo error between E & F. Thanks. Updated the typos. Final values are not important but you just need to realize that the statement 2 is sufficient based on the information given.



SVP
Joined: 26 Mar 2013
Posts: 1682

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
08 Nov 2015, 12:37
Engr2012 wrote: Mo2men wrote:
Hi Engr, Please review the highlighted part. i think D=78. Also, there is a typo error between E & F. Thanks. Updated the typos. Final values are not important but you just need to realize that the statement 2 is sufficient based on the information given. Thanks. I will do as did you in the exam. I won't solve till last number. However, I suspect that the question has not accurate numbers. If you review your numbers in statement 2, you will find C/F=30/60=1/3 which contradicts statement 1 which states C/F=2/3. Therefore I tried to solve the question as PS using statement 1 as follows: C:D= 5:13=10:26.......I C:F=2:3=10:15...........II C+D+F=168......III From I & II C:D:F=10:26:15 To Find number of cats= 168*10/51= Non integer number Do I miss something in the above??I'm glad to receive your comments.



Current Student
Joined: 20 Mar 2014
Posts: 2643
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
08 Nov 2015, 13:26
Mo2men wrote: Engr2012 wrote: Mo2men wrote:
Hi Engr, Please review the highlighted part. i think D=78. Also, there is a typo error between E & F. Thanks. Updated the typos. Final values are not important but you just need to realize that the statement 2 is sufficient based on the information given. Thanks. I will do as did you in the exam. I won't solve till last number. However, I suspect that the question has not accurate numbers. If you review your numbers in statement 2, you will find C/F=30/60=1/3 which contradicts statement 1 which states C/F=2/3. Therefore I tried to solve the question as PS using statement 1 as follows: C:D= 5:13=10:26.......I C:F=2:3=10:15...........II C+D+F=168......III From I & II C:D:F=10:26:15 To Find number of cats= 168*10/51= Non integer number Do I miss something in the above??I'm glad to receive your comments. That is a very good catch. In actual GMAT DS questions, if both the statements are sufficient individually , then the answer will be the same. For this question, your doubt is well founded. I'll let EMPOWERgmatRichC update the question when the OE is posted. But in GMAT don't bother with getting to the final unique value in DS question as that'll be a waste of time. Once you are sure that you will get a unique value, mark that answer and move on. Hope this helps.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11837
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
08 Nov 2015, 17:30
Hi Mo2men & Engr2012, Thank you both for having the discussion that you had  it helped to discover a typo in Fact 1 (which has since been fixed). GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Senior Manager
Joined: 27 Jul 2014
Posts: 305
GPA: 3.76

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
08 Nov 2015, 18:30
HI A pet store sells three types of animals: cats, dogs and exotic fish. If the ratio of cats to dogs in the store is currently 5 to 13 and there are currently 168 total pets in the store, then how many more dogs than exotic fish are currently in the store?
(1) The ratio of cats to exotic fish in the store is currently 1 to 2 (2) There are currently 30 more exotic fish than cats in the store
IMO D is correct answer
I] ratio of Cat : dog = 5:13 ratio of cat : fish = 1:2 so we can derive ratio of cat:dog:fish = 5:13:10 so sufficient
II] Cat+30 = fish ratio of Cat : dog = 5:13 we can alos write this as F + C+D=168 C+30 +C+D=168 2C+D=138 plugging ratio values here we can get answer
so it is also sufficient
SO D



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11837
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
10 Nov 2015, 18:16
EMPOWERgmatRichC wrote: QUANT 4PACK SERIES Data Sufficiency Pack 3 Question 3 A pet store sells three...
A pet store sells three types of animals: cats, dogs and exotic fish. If the ratio of cats to dogs in the store is currently 5 to 13 and there are currently 168 total pets in the store, then how many more dogs than exotic fish are currently in the store?
(1) The ratio of cats to exotic fish in the store is currently 1 to 2 (2) There are currently 30 more exotic fish than cats in the store
This DS prompt is based on ratios and ratio rules. Understanding how the ratios interact with one another (and the other pieces of information) will help you to answer this question without necessarily having to do that many calculations. To start, we're told a number of facts about a pet store: 1) There are three types of animals: cats, dogs and fish. 2) The ratio of cats to dogs at the store is 5:13 3) There are a total of 168 pets at the store. We're asked how many MORE dogs there are at the store than fish. 1) The ratio of cats to exotic fish in the store is currently 1 to 2 With this Fact, we can now construct a 'grand ratio' of how the number of cats, dogs and fish all relate to one another: C:D 5:13 C:F 1:2 Since we cannot have a 'fraction' of an animal, the ratio of cats to dogs to fish is... C:D:F 5:13:10 This means that the number of cats MUST be a multiple of 5, the number of dogs MUST be a multiple of 13 and the number of fish MUST be a multiple of 10. By extension, the total number of animals MUST be a multiple of 5+13+10 = 28. Given this information, and the fact that the total number of animals is 168, the multiple must be 168/28 = 6. This would allow you to calculate the total number of each animal (even though you don't technically have to  those numbers are 30 cats, 78 dogs and 60 fish). Fact 1 is SUFFICIENT. 2) There are currently 30 more exotic fish than cats in the store Depending on how you interpret ratio data, you might have to do a bit more work with this Fact to prove that it's sufficient. We know the current ratio of cats to dogs (5 to 13) and the total number of pets (168), so we can create a table of possible 'total animals' that incorporate this new Fact (that there are 30 MORE fish than cats): C/D/F 5/13/35 = 55 animals 10/26/40 = 76 animals 15/39/45 = 99 animals 20/52/50 = 122 animals 25/65/55 = 145 animals 30/78/60 = 168 animals Etc. There's just ONE WAY for the total number of animals to be 168. Fact 2 is SUFFICIENT Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



NonHuman User
Joined: 09 Sep 2013
Posts: 7066

Re: Data Sufficiency Pack 3, Question 3) A pet store sells three... [#permalink]
Show Tags
26 Mar 2017, 03:23
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 Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: Data Sufficiency Pack 3, Question 3) A pet store sells three...
[#permalink]
26 Mar 2017, 03:23






