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Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?
(1) One of the six countries sent 41 representatives to the congress
(2) Country A sent fewer than 12 representatives to the congress
  • 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 'E'. Can you explain this answer?
Verified Answer
Six countries in a certain region sent a total of 75 representatives t...
Statement 1: One of the six countries sent 41 representatives to the congress.
This statement tells us that one of the countries sent 41 representatives, but it doesn't provide any information about the number of representatives sent by Country A. Therefore, statement 1 alone is not sufficient to determine whether Country A sent at least 10 representatives.
Statement 2: Country A sent fewer than 12 representatives to the congress.
This statement provides information specifically about Country A, stating that it sent fewer than 12 representatives. However, it doesn't give us the exact number of representatives sent by Country A. Therefore, statement 2 alone is not sufficient to determine whether Country A sent at least 10 representatives.
When we consider both statements together, we still don't have enough information to determine whether Country A sent at least 10 representatives. Statement 1 tells us that one of the countries sent 41 representatives, but we don't know if that country is Country A or if Country A sent more or fewer representatives than that. Statement 2 tells us that Country A sent fewer than 12 representatives, but we don't know the exact number.
Without additional information about the number of representatives sent by Country A or the relationship between Country A and the country that sent 41 representatives, we cannot determine whether Country A sent at least 10 representatives.
Therefore, the answer is option E: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
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Most Upvoted Answer
Six countries in a certain region sent a total of 75 representatives t...
Understanding the Problem
We have six countries sending a total of 75 representatives, with no two countries sending the same number. We need to determine if Country A, which sent the second greatest number of representatives, sent at least 10 representatives.
Analyzing Statement 1
- One country sent 41 representatives.
- The total number of representatives is 75, so the other five countries sent 34 representatives combined.
- The maximum number of representatives sent by the remaining five countries (who all send different numbers) must be arranged in descending order.
- Possible combinations could be: 34, 33, 32, 31, 30, etc., but we need to check if Country A's position allows it to be second greatest.
This statement does not provide a definitive conclusion about Country A's representatives, leaving it unclear.
Analyzing Statement 2
- Country A sent fewer than 12 representatives.
- Since Country A is second greatest, the only possible representatives could be 11, 10, or fewer.
- If Country A sent 11, the country with the greatest number must have sent more than 11.
However, if the highest number is also less than 41 (from Statement 1), it could contradict the earlier given data.
This statement alone cannot confirm if Country A sent at least 10 representatives.
Combining Both Statements
Even when combining both statements, we cannot conclude definitively about Country A's representatives. The presence of a maximum (41) and the limit (fewer than 12) creates ambiguity in arrangement, leading to the conclusion that we still lack clarity.
Final Conclusion
- Both statements together do not provide sufficient clarity on whether Country A sent at least 10 representatives.
- Hence, the correct answer is option 'E': Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
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Community Answer
Six countries in a certain region sent a total of 75 representatives t...
Statement 1: One of the six countries sent 41 representatives to the congress.
This statement tells us that one of the countries sent 41 representatives, but it doesn't provide any information about the number of representatives sent by Country A. Therefore, statement 1 alone is not sufficient to determine whether Country A sent at least 10 representatives.
Statement 2: Country A sent fewer than 12 representatives to the congress.
This statement provides information specifically about Country A, stating that it sent fewer than 12 representatives. However, it doesn't give us the exact number of representatives sent by Country A. Therefore, statement 2 alone is not sufficient to determine whether Country A sent at least 10 representatives.
When we consider both statements together, we still don't have enough information to determine whether Country A sent at least 10 representatives. Statement 1 tells us that one of the countries sent 41 representatives, but we don't know if that country is Country A or if Country A sent more or fewer representatives than that. Statement 2 tells us that Country A sent fewer than 12 representatives, but we don't know the exact number.
Without additional information about the number of representatives sent by Country A or the relationship between Country A and the country that sent 41 representatives, we cannot determine whether Country A sent at least 10 representatives.
Therefore, the answer is option E: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
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Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. Can you explain this answer?
Question Description
Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. 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 Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. Can you explain this answer?.
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Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. Can you explain this answer? defined & explained in the simplest way possible. 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Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. 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Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. 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Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. 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Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress(2) Country A sent fewer than 12 representatives to the congressa)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 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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