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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
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
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Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How ...
Statement 1: The farm has more than twice as many cows as pigs.
This statement provides a comparison between the number of cows and pigs on the farm, stating that there are more cows than twice the number of pigs. However, it doesn't give us specific information about the total number of cows or pigs. Therefore, statement 1 alone is not sufficient to determine the number of cows.
Statement 2: The farm has more than 12 pigs.
This statement tells us that there are more than 12 pigs on the farm. However, it doesn't provide any information about the number of cows or the ratio between cows and pigs. Therefore, statement 2 alone is not sufficient to determine the number of cows.
When we consider both statements together, we still don't have enough information to determine the exact number of cows. Statement 1 provides a relationship between the number of cows and pigs but doesn't specify the exact values. Statement 2 gives us a lower bound on the number of pigs but doesn't provide information about the number of cows or the ratio.
Without additional information about the specific number of cows or the ratio between cows and pigs, we cannot determine the exact number of cows.
Therefore, the answer is option C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How ...
Statement (1): The farm has more than twice as many cows as pigs
This statement tells us that the number of cows is greater than twice the number of pigs. However, it does not provide us with any specific information about the total number of animals or the ratio of cows to pigs. Therefore, this statement alone is not sufficient to answer the question asked.

Statement (2): The farm has more than 12 pigs
This statement tells us that the number of pigs on the farm is greater than 12. However, it does not provide us with any information about the number of cows or the ratio of cows to pigs. Therefore, this statement alone is not sufficient to answer the question asked.

Statements (1) and (2) together:
Combining the two statements, we know that the number of cows is greater than twice the number of pigs, and the number of pigs is greater than 12. This means that there must be at least 13 pigs on the farm.

Let's consider two scenarios:
Scenario 1: If there are 13 pigs on the farm, then the number of cows must be greater than 2 * 13 = 26. In this case, the total number of animals on the farm would be at least 13 pigs + 26 cows = 39 animals. However, this is less than the given total of 60 animals, so it is not possible.

Scenario 2: If there are more than 13 pigs on the farm, then the number of cows must be greater than 2 * (number of pigs). In this case, the total number of animals on the farm would be at least (number of pigs) + (number of cows) > 13 + 2 * (number of pigs) = 39 animals. Since we are given that there are 60 animals on the farm, this scenario is possible.

Therefore, by considering both statements together, we can conclude that the number of cows on the farm is greater than the number of pigs, but we cannot determine the exact number of cows or pigs. Hence, both statements together are sufficient to answer the question asked, but neither statement alone is sufficient. The correct answer is (C).
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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 pigsa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 pigsa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 pigsa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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