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26 Jul 2016, 19:58
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DenisSh
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
03 Nov 2018, 03:01
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I have prepared a youtube video to explain this problem,
Click here to see the detailed solution of this problem
Hope it is clear.
Click here to see the detailed solution of this problem
Hope it is clear.
14 May 2020, 06:30
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DenisSh
Target question: How many of the animals are cows?
Given: Of the 60 animals in a certain farm, 2/3 are either pigs or cows
Let P = # of pigs
Let C = # of cows
2/3 of 60 = 40, so we can say that P + C = 40
Statement 1: The farm has MORE THAN twice as many cows as it has pigs.
In other words, 2P < C
If we know 2P < C and P + C = 40, do we have sufficient information to find the value of C?
No. Consider these 2 conflicting cases:
Case a: P = 1 and C = 39, in which case there are 39 cows
Case b: P = 2 and C = 38, in which case there are 38 cows
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: The farm has more than 12 pigs.
There's no way we can use this information to determine the number of cows.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 2 says that P > 12. So, let's examine some possibilities.
If P = 13, then C > 26 (from statement 1). So, C must equal 27 (since P + C = 40)
If P = 14, then C > 28 (from statement 1). In this case, P+C will be GREATER THAN 40, but we need P+C to EQUAL 40 (from the given information). So, P cannot equal 14.
In fact, for the same reasons, P cannot equal 15, 16, 17, etc. . .
So, the only case that's possible is for there to be 13 pigs and 27 cows
Since we can now answer the target question with certainty, the combined statements are SUFFICIENT
Answer = C
Cheers,
Brent
