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If n and p are positive integers, is the ratio of n to p 2 : 1?
(1) n – p < 0
(2) np = 20
  • 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 'D'. Can you explain this answer?
Verified Answer
If n and p are positive integers, is the ratio of n to p 2 : 1?(1) n &...
Statement (1): n - p < 0
This statement indicates that n is less than p. However, it doesn't provide direct information about the specific ratio between n and p. We cannot determine if the ratio is 2:1 based on this statement alone.
Statement (2): np = 20
This statement tells us that the product of n and p is 20. Without further information, we cannot determine the individual values of n and p or their ratio. For example, n could be 4 and p could be 5, resulting in a ratio of 4:5, which is not 2:1. Alternatively, n could be 2 and p could be 10, resulting in a ratio of 2:10, which simplifies to 1:5 and is also not 2:1. Statement (2) alone is not sufficient.
Combining both statements:
From statement (1), we know that n - p < 0, which implies that n is less than p. From statement (2), we know that np = 20. Combining these statements, we can deduce that the only possible combination of positive integers n and p that satisfies both conditions is n = 2 and p = 10. In this case, the ratio of n to p is indeed 2:1. Therefore, by considering both statements together, we can determine that the ratio of n to p is 2:1.
Hence, the correct answer is D: EACH statement ALONE is sufficient to answer the question asked.
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Most Upvoted Answer
If n and p are positive integers, is the ratio of n to p 2 : 1?(1) n &...
Statement (1): n - p < 0
This statement indicates that n is less than p. However, it doesn't provide direct information about the specific ratio between n and p. We cannot determine if the ratio is 2:1 based on this statement alone.
Statement (2): np = 20
This statement tells us that the product of n and p is 20. Without further information, we cannot determine the individual values of n and p or their ratio. For example, n could be 4 and p could be 5, resulting in a ratio of 4:5, which is not 2:1. Alternatively, n could be 2 and p could be 10, resulting in a ratio of 2:10, which simplifies to 1:5 and is also not 2:1. Statement (2) alone is not sufficient.
Combining both statements:
From statement (1), we know that n - p < 0, which implies that n is less than p. From statement (2), we know that np = 20. Combining these statements, we can deduce that the only possible combination of positive integers n and p that satisfies both conditions is n = 2 and p = 10. In this case, the ratio of n to p is indeed 2:1. Therefore, by considering both statements together, we can determine that the ratio of n to p is 2:1.
Hence, the correct answer is D: EACH statement ALONE is sufficient to answer the question asked.
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Question Description
If n and p are positive integers, is the ratio of n to p 2 : 1?(1) n – p < 0(2) np = 20a)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 'D'. 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 If n and p are positive integers, is the ratio of n to p 2 : 1?(1) n – p < 0(2) np = 20a)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If n and p are positive integers, is the ratio of n to p 2 : 1?(1) n – p < 0(2) np = 20a)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 'D'. Can you explain this answer?.
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