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If S is a sequence of consecutive multiples of 3, how many multiples of 9 are there in S?
(1) There are 15 terms in S.
(2) The greatest term of S is 126.
  • 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 'A'. Can you explain this answer?
Verified Answer
If S is a sequence of consecutive multiples of 3, how many multiples o...
To determine the number of multiples of 9 in the sequence S, let's analyze the information provided in each statement:
Statement (1): There are 15 terms in S.
This statement tells us the total number of terms in the sequence S. However, it does not provide any specific information about the values of the terms or their distribution. Since we don't know the exact values of the terms in S, we cannot determine the number of multiples of 9 in the sequence based solely on this statement. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2): The greatest term of S is 126.
This statement gives us information about the largest term in the sequence S. However, it does not provide any information about the other terms or their distribution. Knowing the largest term alone is not enough to determine the number of multiples of 9 in the sequence. For example, S could include multiples of 3 that are not multiples of 9. Therefore, statement (2) alone is not sufficient to answer the question.
Combining both statements:
By combining the information from both statements, we know that there are 15 terms in the sequence S and the largest term is 126. However, even with this combined information, we still don't have any direct information about the specific values of the terms or their distribution. For example, S could contain multiples of 3 that are not multiples of 9. Therefore, the statements together are not sufficient to answer the question.
Since neither statement alone nor the statements together provide enough information to answer the question, the answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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Most Upvoted Answer
If S is a sequence of consecutive multiples of 3, how many multiples o...
Statement (1):
There are 15 terms in S.

Statement (2):
The greatest term of S is 126.

To determine the number of multiples of 9 in sequence S, we need to consider the factors of 9. Since 9 is a multiple of 3, every multiple of 9 is also a multiple of 3.

Analysis of Statement (1):
If there are 15 terms in sequence S, it implies that the sequence includes the first 15 multiples of 3. However, we cannot determine the exact number of multiples of 9 in S based on this information alone. For example, S could include multiples of 3 that are not multiples of 9, such as 3, 6, 12, 15, etc. In this case, there would be no multiples of 9 in S. Alternatively, S could include multiples of 9 such as 9, 18, 27, etc., in which case there would be multiple multiples of 9 in S. Therefore, statement (1) alone is not sufficient to answer the question.

Analysis of Statement (2):
If the greatest term of S is 126, it means that the sequence S includes all the multiples of 3 up to 126. To determine the number of multiples of 9 in S, we need to find the multiples of 9 that are less than or equal to 126. The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, and 126. There are 14 multiples of 9 in S. Therefore, statement (2) alone is sufficient to answer the question.

Conclusion:
From the analysis of the statements, we can see that statement (1) alone is not sufficient, but statement (2) alone is sufficient to determine the number of multiples of 9 in sequence S. Therefore, the correct answer is option (A).
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Community Answer
If S is a sequence of consecutive multiples of 3, how many multiples o...
To determine the number of multiples of 9 in the sequence S, let's analyze the information provided in each statement:
Statement (1): There are 15 terms in S.
This statement tells us the total number of terms in the sequence S. However, it does not provide any specific information about the values of the terms or their distribution. Since we don't know the exact values of the terms in S, we cannot determine the number of multiples of 9 in the sequence based solely on this statement. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2): The greatest term of S is 126.
This statement gives us information about the largest term in the sequence S. However, it does not provide any information about the other terms or their distribution. Knowing the largest term alone is not enough to determine the number of multiples of 9 in the sequence. For example, S could include multiples of 3 that are not multiples of 9. Therefore, statement (2) alone is not sufficient to answer the question.
Combining both statements:
By combining the information from both statements, we know that there are 15 terms in the sequence S and the largest term is 126. However, even with this combined information, we still don't have any direct information about the specific values of the terms or their distribution. For example, S could contain multiples of 3 that are not multiples of 9. Therefore, the statements together are not sufficient to answer the question.
Since neither statement alone nor the statements together provide enough information to answer the question, the answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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If S is a sequence of consecutive multiples of 3, how many multiples of 9 are there in S?(1) There are 15 terms in S.(2) The greatest term of S is 126.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 'A'. Can you explain this answer?
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If S is a sequence of consecutive multiples of 3, how many multiples of 9 are there in S?(1) There are 15 terms in S.(2) The greatest term of S is 126.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 'A'. 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 S is a sequence of consecutive multiples of 3, how many multiples of 9 are there in S?(1) There are 15 terms in S.(2) The greatest term of S is 126.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 'A'. 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 S is a sequence of consecutive multiples of 3, how many multiples of 9 are there in S?(1) There are 15 terms in S.(2) The greatest term of S is 126.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 'A'. Can you explain this answer?.
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