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# Of the 60 animals on a certain farm, 2/3 are either cows or

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Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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11 Jul 2014, 17:20
rbaudoin10 wrote:
What about the 20 extra animals ? Why can't they be cows or pigs as well within that set ? Nothing is mentioned about these 20 animals. We just know that 40 animals are either pigs or cows. Does anyone get my point ?

Having 13 pigs, 27 cows, and 20 other animals is a possiblity.

Having 14 pigs, 30 cows and 16 other animals is another possibility.

Following that logic, E is the right answer.

To add to what Bunuel said:

It is similar to: Of the 100 people in a room, 40 are men.
What does this mean to you? It means that 60 are not men, right?

Similarly, Of the 60 animals on a certain farm, 40 are either pigs or cows.
This means that rest of the 20 are neither pigs nor cows!

When you are given concrete numbers, it implies that the group has been considered. If only some people were considered, you would have been given "Of the 100 people in a room, at least 40 are men."
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Kudos [?]: 18119 [0], given: 236 Senior Manager Joined: 15 Aug 2013 Posts: 298 Kudos [?]: 83 [0], given: 23 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 30 Aug 2014, 10:31 Bunuel wrote: shrivastavarohit wrote: Guys I don't know how long this post has been here however I thought I would add my 2 cents and see if what I feel should be the answer. Question says something either a cow or a pig form the ratio of 2/3. I don't feel 60 number is of much significance since this is DS. 1) says the mix is 1 to 2. So if by simple math I find what's remaining out of 2/3 the ratio comes out to be 1/3. At this moment for me the information in the statement 1 becomes helpful. Since 2wice of 1/3 is 2/3 and we know that 2wice as many cows hence this information is sufficient. Posted from my mobile device Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as it has pigs --> so we have is $$c>2p$$ and not $$c=2p$$ --> as $$c+p=40$$ (p=40-c and c=40-p) --> $$40-p>2p$$, $$13.3>p$$, $$p_{max}=13$$ and $$c_{min}=27$$. Many combinations are possible: (27,13), (28, 12), ... Not sufficient. (2) $$p>12$$. Not sufficient (1)+(2) $$p>12$$ but $$p_{max}=13$$, hence $$p=13$$ --> $$c=27$$. Sufficient. Answer: C. One more thing: if the ratio indeed were $$c=2p$$, then the question would be flawed as solving $$c=2p$$ and $$c+p=40$$ gives $$p=13.3$$, but # of pigs can not be a fraction it MUST be an integer. Hi Bunuel, Two questions: -How do you know that Cmin is 27? I can se how Pmax is 13, but I don't really see how that translates onto Cmin? -If I were to add Stm 1 and Stm 2, I get c-p>12. That, algebraically, doesn't help solve the problem Am I correct? Kudos [?]: 83 [0], given: 23 Math Expert Joined: 02 Sep 2009 Posts: 42597 Kudos [?]: 135562 [1], given: 12699 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 31 Aug 2014, 23:48 1 This post received KUDOS Expert's post 1 This post was BOOKMARKED russ9 wrote: Bunuel wrote: shrivastavarohit wrote: Guys I don't know how long this post has been here however I thought I would add my 2 cents and see if what I feel should be the answer. Question says something either a cow or a pig form the ratio of 2/3. I don't feel 60 number is of much significance since this is DS. 1) says the mix is 1 to 2. So if by simple math I find what's remaining out of 2/3 the ratio comes out to be 1/3. At this moment for me the information in the statement 1 becomes helpful. Since 2wice of 1/3 is 2/3 and we know that 2wice as many cows hence this information is sufficient. Posted from my mobile device Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as it has pigs --> so we have is $$c>2p$$ and not $$c=2p$$ --> as $$c+p=40$$ (p=40-c and c=40-p) --> $$40-p>2p$$, $$13.3>p$$, $$p_{max}=13$$ and $$c_{min}=27$$. Many combinations are possible: (27,13), (28, 12), ... Not sufficient. (2) $$p>12$$. Not sufficient (1)+(2) $$p>12$$ but $$p_{max}=13$$, hence $$p=13$$ --> $$c=27$$. Sufficient. Answer: C. One more thing: if the ratio indeed were $$c=2p$$, then the question would be flawed as solving $$c=2p$$ and $$c+p=40$$ gives $$p=13.3$$, but # of pigs can not be a fraction it MUST be an integer. Hi Bunuel, Two questions: -How do you know that Cmin is 27? I can se how Pmax is 13, but I don't really see how that translates onto Cmin? -If I were to add Stm 1 and Stm 2, I get c-p>12. That, algebraically, doesn't help solve the problem Am I correct? There are total of 40 pigs and cows. We know that there are at most 13 pigs (13 or less). Thus there are at least 27 cows. Or: p + c = 40 and p <= 13 --> (40 - c) <= 13 --> c >= 27. Hope it's clear. _________________ Kudos [?]: 135562 [1], given: 12699 Intern Joined: 11 Sep 2014 Posts: 8 Kudos [?]: 2 [1], given: 5 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 29 Sep 2014, 06:58 1 This post received KUDOS Bunuel wrote: ngoctraiden1905 wrote: From your ans I think the stem means 2/3 of 60 animals are both pigs and cows, not either pigs or cows. I think there is some problem with stem here? How it's possible for an animal to be BOTH a pig and a cow? 2/3 of 60 animals are either pigs or cows. So there are total of 40 cows and pigs. Yansta8's solution is correct. C it is. Maybe they are half cow, half bear, half pig.... Cowbearpig _________________ What we think, we become Kudos [?]: 2 [1], given: 5 Intern Joined: 03 Jul 2014 Posts: 17 Kudos [?]: 3 [0], given: 19 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 25 Nov 2014, 03:17 I guess we cannot solve it using Matrix method as , Both cannot be Cow and Pig . Is there any alternative method to solve this . Thanks Bunuel wrote: Syed wrote: yangsta8 wrote: Question stem says that 2/3 of 60 are pigs or cows. That means 40 animals are pigs or cows. So all we need to have sufficiency is either number of pigs or number of cows. 1) Farm has more than 2 cows for 1 pig (at least 26.6 animals of the 40 are cows). This just tells us that the farm has at least 27 pigs and that the max number of cows is 13. For example the farm could have 30 pigs and 10 cows. Not a definitive number. Insufficient. 2) Farm has more than 12 pigs. Again not enough info. Insuff 1+2) Statements together tell us: 12 < number of pigs is <=13 Which means number pigs = 13 Number of cows = 27. ANSWER = C. I do agree with 'yangsta8' that the answer is 'C' but (if I am NOT wrong), Stmnt#1 says the number of Cows are more than twice than the pigs. Thus, the cows could be 27 and Pigs could be 13; and For example, the farm could have 30 cows and 10 pigs. ------------------------------- Hi Bunuel and Yangsta8 - Please correct me if I am wrong (which is very much possible)! c+p=40 (1) c>2p --> min # of cows is 27 and max # pigs is 13, so there can be any combination not violating this and totaling 40. Not sufficient (2) p>12 Not sufficient (1)+(2) p>12 but max of p is 13, hence p=13 --> c=27 You are right there can be 27 cows (min) and 13 pigs (max) or 30 cows and 10 pigs. Think there was simple typo from yangsta8. Kudos [?]: 3 [0], given: 19 Director Joined: 07 Aug 2011 Posts: 578 Kudos [?]: 563 [0], given: 75 Concentration: International Business, Technology GMAT 1: 630 Q49 V27 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 14 Mar 2015, 06:34 Bunuel wrote: ngoctraiden1905 wrote: From your ans I think the stem means 2/3 of 60 animals are both pigs and cows, not either pigs or cows. I think there is some problem with stem here? How it's possible for an animal to be BOTH a pig and a cow? 2/3 of 60 animals are either pigs or cows. So there are total of 40 cows and pigs. Yansta8's solution is correct. C it is. Sorry Bunuel/Experts, i could not get why is A not sufficient . statement A : C > 2P then must be C>P for all positive integer values of C and P . now we know Cows are more in number , so from question stem 2/3 are cows and hence 1/3 will be pigs . where am i missing( i know i am falling in a intended trap of this question ) ? _________________ Thanks, Lucky _______________________________________________________ Kindly press the to appreciate my post !! Kudos [?]: 563 [0], given: 75 Math Expert Joined: 02 Sep 2009 Posts: 42597 Kudos [?]: 135562 [0], given: 12699 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 14 Mar 2015, 06:48 Lucky2783 wrote: Bunuel wrote: ngoctraiden1905 wrote: From your ans I think the stem means 2/3 of 60 animals are both pigs and cows, not either pigs or cows. I think there is some problem with stem here? How it's possible for an animal to be BOTH a pig and a cow? 2/3 of 60 animals are either pigs or cows. So there are total of 40 cows and pigs. Yansta8's solution is correct. C it is. Sorry Bunuel/Experts, i could not get why is A not sufficient . statement A : C > 2P then must be C>P for all positive integer values of C and P . now we know Cows are more in number , so from question stem 2/3 are cows and hence 1/3 will be pigs . where am i missing( i know i am falling in a intended trap of this question ) ? Your doubt is answered on previous pages. Of the 60 animals on a certain farm, 2/3 are either pigs or cows. Hence 40 animals are either pigs or cows, meaning that out of 40 animals some are pigs and the rest are cows: p+c=40. (1) The farm has more than twice as many cows as pigs --> c > 2p --> min # of cows is 27 and max # pigs is 13, so there can be any combination not violating this and totaling 40. Not sufficient _________________ Kudos [?]: 135562 [0], given: 12699 Math Expert Joined: 02 Aug 2009 Posts: 5347 Kudos [?]: 6120 [0], given: 121 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 14 Mar 2015, 06:51 Lucky2783 wrote: Sorry Bunuel/Experts, i could not get why is A not sufficient . statement A : C > 2P then must be C>P for all positive integer values of C and P . now we know Cows are more in number , so from question stem 2/3 are cows and hence 1/3 will be pigs . where am i missing( i know i am falling in a intended trap of this question ) ? hi Lucky2783, what are you are missing is the meaning of question stem... it says 2/3 are either pigs or cows.... this means that out of 60, 2/3rd that is 40 are either pigs or cows and rest can be any other animal other than this two... it does not say that 2/3 are one of the two and 1/3 remaining are the other of the two... Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as pigs (2) The farm has more than 12 pigs _________________ Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html Kudos [?]: 6120 [0], given: 121 Director Joined: 07 Aug 2011 Posts: 578 Kudos [?]: 563 [0], given: 75 Concentration: International Business, Technology GMAT 1: 630 Q49 V27 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 14 Mar 2015, 08:21 chetan2u wrote: Lucky2783 wrote: Sorry Bunuel/Experts, i could not get why is A not sufficient . statement A : C > 2P then must be C>P for all positive integer values of C and P . now we know Cows are more in number , so from question stem 2/3 are cows and hence 1/3 will be pigs . where am i missing( i know i am falling in a intended trap of this question ) ? hi Lucky2783, what are you are missing is the meaning of question stem... it says 2/3 are either pigs or cows.... this means that out of 60, 2/3rd that is 40 are either pigs or cows and rest can be any other animal other than this two... it does not say that 2/3 are one of the two and 1/3 remaining are the other of the two... Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as pigs (2) The farm has more than 12 pigs ohhh god !! thats a very callous mistake at my end . thanks chetan. _________________ Thanks, Lucky _______________________________________________________ Kindly press the to appreciate my post !! Kudos [?]: 563 [0], given: 75 Director Joined: 07 Aug 2011 Posts: 578 Kudos [?]: 563 [0], given: 75 Concentration: International Business, Technology GMAT 1: 630 Q49 V27 Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 14 Mar 2015, 08:23 I misinterpreted the question stem . thanks for the clarification Bunuel . Thanks, Lucky. _________________ Thanks, Lucky _______________________________________________________ Kindly press the to appreciate my post !! Kudos [?]: 563 [0], given: 75 Non-Human User Joined: 09 Sep 2013 Posts: 14854 Kudos [?]: 287 [0], given: 0 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 21 Mar 2016, 16:47 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. _________________ Kudos [?]: 287 [0], given: 0 Intern Joined: 22 Mar 2015 Posts: 33 Kudos [?]: 5 [0], given: 17 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 28 Mar 2016, 09:01 DenisSh wrote: Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as pigs (2) The farm has more than 12 pigs Hello Bunuel, In this question, I made a tragic mistake of considering No. of cows=40 OR Number of pigs=40. Since its a GMAT Prep question, I can certainly expect such kind of questions to come on GMAT. Can you please suggest me what can I do to avoid such kind of mistakes in future ? Also: 1.) Should I consider every OR to be a plus if it is being presented in an ambiguous way (Such as in this question) ? Thanks Devansh Kudos [?]: 5 [0], given: 17 Math Expert Joined: 02 Aug 2009 Posts: 5347 Kudos [?]: 6120 [0], given: 121 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 28 Mar 2016, 09:16 Devlikes wrote: DenisSh wrote: Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as pigs (2) The farm has more than 12 pigs Hello Bunuel, In this question, I made a tragic mistake of considering No. of cows=40 OR Number of pigs=40. Since its a GMAT Prep question, I can certainly expect such kind of questions to come on GMAT. Can you please suggest me what can I do to avoid such kind of mistakes in future ? Also: 1.) Should I consider every OR to be a plus if it is being presented in an ambiguous way (Such as in this question) ? Thanks Devansh Hi, EITHER.. OR .. used in this context would always means the two comdined are 40.. If the Q, means pigs or cows= 40, It would mention somewhere that only one kind of animal is there in farm or .. Of the 60 animals on a certain farm, 2/3 are either only pigs or only cows.. _________________ Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html Kudos [?]: 6120 [0], given: 121 Manager Joined: 27 Feb 2015 Posts: 59 Kudos [?]: 9 [0], given: 56 Concentration: General Management, Economics GMAT 1: 630 Q42 V34 WE: Engineering (Transportation) Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 28 Mar 2016, 23:25 hello, please help me explain why this Q cannot be interpreted as Given: total = 60 ...either cow or pig is 40 i.e. c=40 or p=40 to find: c=? 1) c>2p if C=40 ; p< 20 so other animal >1 ...eg : if c=40 ; p = 15 ; others =5. so here if get c=40 now if p=40 so c>80 which cannot happen since total is 60 either of c or p has to be 40; so from here we get c=40 , that is what we want SUFFICIENT 2) p>12 clearly not sufficent. so ans should be A thanks . Kudos [?]: 9 [0], given: 56 Manager Joined: 03 Dec 2014 Posts: 122 Kudos [?]: 60 [0], given: 391 Location: India Concentration: General Management, Leadership GMAT 1: 620 Q48 V27 GPA: 1.9 WE: Engineering (Energy and Utilities) Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 29 Mar 2016, 02:35 yangsta8 wrote: Question stem says that 2/3 of 60 are pigs or cows. That means 40 animals are pigs or cows. So all we need to have sufficiency is either number of pigs or number of cows. 1) Farm has more than 2 cows for 1 pig (at least 26.6 animals of the 40 are cows). This just tells us that the farm has at least 27 pigs and that the max number of cows is 13. For example the farm could have 30 pigs and 10 cows. Not a definitive number. Insufficient. 2) Farm has more than 12 pigs. Again not enough info. Insuff 1+2) Statements together tell us: 12 < number of pigs is <=13 Which means number pigs = 13 Number of cows = 27. ANSWER = C. does the farm has only cow and pig , no other animal. The question stem does not make it clear? Answer, in my view, should be E Kudos [?]: 60 [0], given: 391 Math Expert Joined: 02 Sep 2009 Posts: 42597 Kudos [?]: 135562 [1], given: 12699 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 29 Mar 2016, 02:50 1 This post received KUDOS Expert's post robu wrote: yangsta8 wrote: Question stem says that 2/3 of 60 are pigs or cows. That means 40 animals are pigs or cows. So all we need to have sufficiency is either number of pigs or number of cows. 1) Farm has more than 2 cows for 1 pig (at least 26.6 animals of the 40 are cows). This just tells us that the farm has at least 27 pigs and that the max number of cows is 13. For example the farm could have 30 pigs and 10 cows. Not a definitive number. Insufficient. 2) Farm has more than 12 pigs. Again not enough info. Insuff 1+2) Statements together tell us: 12 < number of pigs is <=13 Which means number pigs = 13 Number of cows = 27. ANSWER = C. does the farm has only cow and pig , no other animal. The question stem does not make it clear? Answer, in my view, should be E Please read the whole thread, your doubt is answered couple of times on previous pages. Also, this is GMAT Prep official question, no sense to doubt the answer. _________________ Kudos [?]: 135562 [1], given: 12699 Intern Joined: 22 May 2016 Posts: 4 Kudos [?]: 1 [0], given: 8 Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 26 Jun 2016, 01:42 I believe answer should be E. As question demands number of cows among animals, we can form many other combinations from given 1st and 2nd statement. For ex. Pigs = 30, Cows = 10. S1: More than twice as many cows as pigs. 30 > 10*2 S2: Number of pigs more than 12. 30>12 Similarly many other combinations are possible like, (28,12), (32,8) etc. Kindly help. Kudos [?]: 1 [0], given: 8 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7793 Kudos [?]: 18119 [0], given: 236 Location: Pune, India Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink] ### Show Tags 26 Jun 2016, 04:41 ngoyal2 wrote: I believe answer should be E. As question demands number of cows among animals, we can form many other combinations from given 1st and 2nd statement. For ex. Pigs = 30, Cows = 10. S1: More than twice as many cows as pigs. 30 > 10*2 S2: Number of pigs more than 12. 30>12 Similarly many other combinations are possible like, (28,12), (32,8) etc. Kindly help. S1: The farm has more than twice as many cows as pigs implies Number of cows is more than twice the number of pigs. C > 2P Hence Pigs = 30, Cows = 10 doesn't work. Neither do the other examples you have given. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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09 Jul 2016, 17:54
SC teaches us to avoid the ambiguous use of grammar idioms. Yet in this question GMAT makes a very unclear stem: 2/3 are either pigs or cows. Which can be interpreted as 2/3 pigs or 2/3 cows. In my opinion the question could have stated:

Of the animals on a certain farm, 2/3 are pigs AND cows to avoid such ambiguity
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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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26 Jul 2016, 18:58
DenisSh wrote:
Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows?

(1) The farm has more than twice as many cows as pigs
(2) The farm has more than 12 pigs

Given: 40 animals are either pigs or cows.
p + c = 40

Required: How many are cows.

Statement 1: The farm has more than twice as many cows as pigs
Assume pigs = p
Cows = c
Case 1: p = 10, c = 30
Case 2: p = 1, c = 39
INSUFFICIENT

Statement 2: The farm has more than 12 pigs
This does not tell us anything about the cows.
INSUFFICIENT

Combining both statements:
From statement 2, p > 12
Case 1: p = 13, c = 27

Case 2: p = 14, c = 26
This case is not possible. Hence Case 1 is the only possible case.
SUFFICIENT

Correct Option: C

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Re: Of the 60 animals on a certain farm, 2/3 are either cows or   [#permalink] 26 Jul 2016, 18:58

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