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SVP
Joined: 16 Nov 2010
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Location: United States (IN)
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Re: cow and pig problem [#permalink]
 16 Mar 2011, 04:49
So 40 are either P or C C = 2P + k, where k is an integer So P = 5, then C = 35 which is 10 + 25 P = 4, then C = 36 which is 8 + 28 So (1) is insufficient From (2) we have p > 13, which is not sufficient as p can be 14, 15 etc. and C can be 26, 25, so (2) is insufficient From (1) and (2), if P = 13, then C = 27 which is = 2*13 + 1, hence the answer is (C).
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Senior Manager
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udaymathapati wrote: Farm has 60 animals. 2/3 are either cows or pigs i.e. = 2/3*60=40 St 1--> Farm has more than twice as many cows as it has pigs. i.e. C > 2p if p = 1, C is 39 if p = 10, C is 30 You need a number to restrict P; not sufficient St 2--> The farm has more than 12 pigs P could be any number and therefore C could be any. Combining both statements, P is restricted i.e. if you take P as 13, C is 27 (and satisfied C>2P) if you take P as 14, C is 26 (but doesnt satisfy C > 2p) i.e. you have P = 13 and C=27. Answer is C.
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SVP
Joined: 16 Nov 2010
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Re: cow and pig problem [#permalink]
04 May 2011, 03:38
40 = P + C C > 2P C > 2(40 - C) => 3C > 80 => C > 26 Not Sufficient 2) P > 12 Not sufficient (1) + (2) C> 26 and P > 12 So C = 27, P = 13 Answer - C
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Re: 60 animals in a farm [#permalink]
07 May 2011, 15:13
Read the word 'more' in the 1st statement.
so there are total 40 animals that are either cow or pigs.
st - 1==> you can have 8 pigs and 32 cows OR 10 pigs and 30 cows OR 12 pigs and 28 cows OR 13 pigs and 27 cows ... so not sufficient.
st - 2 not sufficient ==> if pigs are more than 12 it could be that pigs are 13 or 14 or whatsoever ... and remaining cows.
if you consider together... basically you noticed that in st - 1, you need something to restrict # of pigs which is provided by st - 2.
so considering both, you can just have 1 case - pigs 13 and cows 27.
Answer C.
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Manager
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Re: 60 animals in a farm [#permalink]
07 May 2011, 15:29
Great. I forgot to read the statement properly... "More than twice as many"
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VP
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Re: cow and pig problem [#permalink]
08 May 2011, 00:49
p+c = 40 a c> 2p means p = 1 ; c = 39 or p = 4 ; c = 36. Not sufficient. b p>12 means p = 13 gives c = 27 or p = 14 gives c = 26. Not sufficient. a+b only p = 13 and c = 27 fits for p+c = 40 hence C
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Director
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Re: cow and pig problem [#permalink]
08 May 2011, 13:25
p +c =40
c?
1. Not sufficient
c>2p
we dont know much about p.
2. Not sufficient
p>12
we could be any of the following
p c
13 27
14 26
15 25
Together , Its sufficient
as p = 13 and c=27 is the only combination that satisfies the given condition.
Answer is C.
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Intern
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2/3 of the animals are cow and pigs = 40 animals = Pigs + Cows
according to 1) C > 2 P insuff
2) P > 12 insuff
from 1) & 2)
C > 24
i.e the possible combinations
C P
25 15
26 14
27 13 ==> this one satisfys both 1 & 2
Hence C
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Manager
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Rephrase: C + P = 40 1. C > 2P . Insuff 2. P > 12. insuff Together, the only (C, P) combination that meets the sum is (13, 27). C
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Director
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Oh shit..............I made a silly mistake by considering C =2P......
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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]
15 Jul 2012, 08:43
The question tells us that:
p + c = 40
Restrictions:
p and c must be non-negative integers. (We can't have -2 pigs or 1.5 cows.)
(1)
c > 2p
Let's say that c = 2p. Then:
p + c = 40
p + (2p) = 40
p = 13.33
If p were an integer greater than 13.33, then p + c would be greater than 40 (for example, if p = 14, then p + c > (14) + 2(14), p + c > 42). But p + c cannot be greater than 40, since the question says that p + c = 40. Therefore:
p < =13.33
Insufficient because p could be one of a number of non-negative integers less than 13.33 (for example, 13 or 2), and thus c could be one of a number of non-negative integers (c = 40 minus whatever p is).
(2)
p > 12
Insufficient because p could be one of a number of integers (for example, 13 or 39), and thus c could be one of a number of integers (c = 40 minus whatever p is).
(1) and (2) together are sufficient because:
(1) p <= 13.33
(2) p > 12
Therefore:
12 < p <= 13.33
p must equal 13 since 13 is the only integer that is greater than 12 and less than or equal to 13.33.
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Director
Status: Final Lap Up!!!
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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]
08 Feb 2013, 07:01
HI all
I am facing little difficulty in interpretation of the question, My specifc doubts are:-
1. Here either or means C+p = 40 , since a pig cannot be a cow at the same time. What if the question had a scenario, where a case of both was possible.....should we consider c+p- both = 40 in that case. I am haveing a doubt with either or statement
2. In case of question stating "What was the number of cows", what should we infer that it requires number of only cow ie cow - both or only cow + both, i am facing difficulty......
3."I. The farm has more than twice as many cows as it has pigs "
Can we interpret this as 'For every pig there were more than twice cow" ie c/p>2/1
Pls help me in clearing my doubts...
Regards
Archit
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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]
10 Feb 2013, 00:05
1
This post received
KUDOS
Archit143 wrote: HI all
I am facing little difficulty in interpretation of the question, My specifc doubts are:-
1. Here either or means C+p = 40 , since a pig cannot be a cow at the same time. What if the question had a scenario, where a case of both was possible.....should we consider c+p- both = 40 in that case. I am haveing a doubt with either or statement
2. In case of question stating "What was the number of cows", what should we infer that it requires number of only cow ie cow - both or only cow + both, i am facing difficulty......
3."I. The farm has more than twice as many cows as it has pigs "
Can we interpret this as 'For every pig there were more than twice cow" ie c/p>2/1
Pls help me in clearing my doubts...
Regards
Archit Responding to a pm: Either A or B means either A or B or both. If they mean to say that both should not be included then they will say 'Either A or B but not both' What is the number of A? implies all A (including those who can be B too) What is the number of only A ? implies those A who are B too are not to be counted. 3."I. The farm has more than twice as many cows as it has pigs "
Can we interpret this as 'For every pig there were more than twice cow" ie c/p>2/1
Yes, that's correct. You can write it as c/p > 2 or as c > 2p (same thing)
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Director
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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]
10 Feb 2013, 05:14
Thanks Karishma, your posts was really what i wanted to know....
+1 ....
Archit
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Re: Of the 60 animals on a certain farm, 2/3 are either cows or
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10 Feb 2013, 05:14
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