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Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 12, 0.13, and 4.068 are three terminating decimals. If j and k are positive integers and the ratio j/k is expressed as a decimal, is j/k a terminating decimal?
(1) k = 3
(2) j is an odd multiple of 3.
  • 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?
Most Upvoted Answer
Any decimal that has only a finite number of nonzero digits is a termi...
Statement (1): k = 3
This statement tells us the value of k, which is 3. However, it does not provide any information about the value of j. Therefore, statement (1) alone is not sufficient to determine whether j/k is a terminating decimal.

Statement (2): j is an odd multiple of 3
This statement tells us that j is an odd multiple of 3. It does not provide the exact value of j or k. Without knowing the specific values of j and k, we cannot determine whether j/k is a terminating decimal. Therefore, statement (2) alone is not sufficient to answer the question.

Statements (1) and (2) together:
Combining both statements, we know that k = 3 and j is an odd multiple of 3. Since k is a positive integer and has a value of 3, we can conclude that k has only a finite number of nonzero digits and is therefore a terminating decimal.

Since j is an odd multiple of 3, it can be written as 3n, where n is a positive integer. Dividing j by k, we get (3n)/3 = n. Since n is a positive integer, n can also be written as a terminating decimal with only a finite number of nonzero digits.

Therefore, when j/k is expressed as a decimal, both j and k have only a finite number of nonzero digits. Hence, j/k is a terminating decimal.

Thus, both statements (1) and (2) together are sufficient to answer the question.

Therefore, the correct answer is option (C).
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Community Answer
Any decimal that has only a finite number of nonzero digits is a termi...
To determine if the ratio j/k is a terminating decimal, we need to consider both statements.
Statement (1) tells us that k = 3. If k is equal to 3, it means the denominator has a prime factor of 3. Since any power of 3 in the denominator will result in a repeating decimal, we can conclude that the ratio j/k is not a terminating decimal. Therefore, statement (1) alone is sufficient to answer the question.
Statement (2) tells us that j is an odd multiple of 3. This information alone does not provide any details about the denominator k or the factors of k. It does not give us enough information to determine if the ratio j/k is a terminating decimal. Therefore, statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we know that k = 3 (from statement 1) and j is an odd multiple of 3 (from statement 2). Since the denominator is 3, which has a prime factor of 3, the ratio j/k will not be a terminating decimal. Therefore, both statements together are sufficient to answer the question.
Hence, the answer is C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 12, 0.13, and 4.068 are three terminating decimals. If j and k are positive integers and the ratio j/k is expressed as a decimal, is j/k a terminating decimal?(1) k = 3(2) j is an odd multiple of 3.a)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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Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 12, 0.13, and 4.068 are three terminating decimals. If j and k are positive integers and the ratio j/k is expressed as a decimal, is j/k a terminating decimal?(1) k = 3(2) j is an odd multiple of 3.a)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 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 12, 0.13, and 4.068 are three terminating decimals. If j and k are positive integers and the ratio j/k is expressed as a decimal, is j/k a terminating decimal?(1) k = 3(2) j is an odd multiple of 3.a)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 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 12, 0.13, and 4.068 are three terminating decimals. If j and k are positive integers and the ratio j/k is expressed as a decimal, is j/k a terminating decimal?(1) k = 3(2) j is an odd multiple of 3.a)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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