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If r, s are positive integers, is r/s a terminating decimal?
1) 1/r is a terminating decimal
2) 1/s is a terminating decimal
  • 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 'B'. Can you explain this answer?
Most Upvoted Answer
If r, s are positive integers, is r/s a terminating decimal?1) 1/r is ...
Statement (1): 1/r is a terminating decimal
If 1/r is a terminating decimal, it means that r must be a power of 10 or have only factors of 2 and 5 in its prime factorization. However, knowing this information about r does not provide any direct information about the terminating nature of r/s. So, statement (1) alone is not sufficient to answer the question.
Statement (2): 1/s is a terminating decimal
Similarly, if 1/s is a terminating decimal, it means that s must be a power of 10 or have only factors of 2 and 5 in its prime factorization. But, like in statement (1), this information about s does not directly tell us whether r/s is a terminating decimal or not. Therefore, statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we know that both r and s have the properties of being powers of 10 or having only factors of 2 and 5 in their prime factorizations. However, this still does not give us enough information to determine whether r/s is a terminating decimal or not. It is possible for r/s to be a terminating decimal, but it is also possible for it to be a repeating decimal if there are common factors between r and s. Therefore, even when considering both statements together, we cannot answer the question.
Hence, the answer is (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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If r, s are positive integers, is r/s a terminating decimal?1) 1/r is a terminating decimal2) 1/s is a terminating decimala)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 'B'. Can you explain this answer?
Question Description
If r, s are positive integers, is r/s a terminating decimal?1) 1/r is a terminating decimal2) 1/s is a terminating decimala)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 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If r, s are positive integers, is r/s a terminating decimal?1) 1/r is a terminating decimal2) 1/s is a terminating decimala)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 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If r, s are positive integers, is r/s a terminating decimal?1) 1/r is a terminating decimal2) 1/s is a terminating decimala)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 'B'. Can you explain this answer?.
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