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In how many ways can a coach select a university team from a pool of eligible candidates?
(1) The number of eligible candidates is three times greater than the number of slots on the team.
(2) 60% of the 20 athletes are eligible to play on the four-person university team.
(2) 60% of the 20 athletes are eligible to play on the four-person university team.
- 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?
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In how many ways can a coach select a university team from a pool of e...
Statement (1): The number of eligible candidates is three times greater than the number of slots on the team.
This statement tells us that the number of eligible candidates is three times greater than the number of slots available on the team. From this information alone, we can determine the number of ways the coach can select the team. If there are n slots on the team, then the number of eligible candidates would be 3n. The coach can select the team by choosing n candidates from the pool of 3n eligible candidates. Therefore, Statement (1) alone is sufficient to answer the question.
Statement (2): 60% of the 20 athletes are eligible to play on the four-person university team.
This statement tells us the percentage of athletes who are eligible to play on the university team. It gives us information about the eligibility of the athletes but does not provide the exact numbers needed to determine the number of ways the coach can select the team. Statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we have additional information. From Statement (1), we know that the number of eligible candidates is three times greater than the number of slots on the team. From Statement (2), we know that 60% of the 20 athletes are eligible to play on the four-person university team. However, the exact numbers are still not provided, so we cannot determine the number of ways the coach can select the team.
Therefore, Statement (1) alone is sufficient to answer the question, but Statement (2) alone is not sufficient. The answer is D: EACH statement ALONE is sufficient to answer the question asked.
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In how many ways can a coach select a university team from a pool of e...
Statement Analysis:
Statement 1: The number of eligible candidates is three times greater than the number of slots on the team.
- This statement alone doesn't provide the exact numbers of eligible candidates or team slots, making it insufficient to determine the total number of ways to select the team.
Statement 2: 60% of the 20 athletes are eligible to play on the four-person university team.
- This statement gives the percentage of eligible athletes out of a total of 20. However, it doesn't provide the exact numbers required to calculate the total number of ways to select the team.
Combining both statements:
- By combining both statements, we can deduce the number of eligible candidates and the number of team slots.
- From statement 2, we know that 60% of 20 athletes are eligible. This gives us 12 eligible candidates.
- Statement 1 tells us that the number of eligible candidates is three times greater than the number of team slots. Therefore, the number of team slots is 4.
- With this information, we can calculate that the coach can select the team in 12C4 ways, which is the combination of 12 eligible candidates taken 4 at a time.
Conclusion:
- Each statement alone is not sufficient to answer the question asked, but together, they provide enough information to determine the total number of ways the coach can select the university team. Therefore, the correct answer is option D.
Statement 1: The number of eligible candidates is three times greater than the number of slots on the team.
- This statement alone doesn't provide the exact numbers of eligible candidates or team slots, making it insufficient to determine the total number of ways to select the team.
Statement 2: 60% of the 20 athletes are eligible to play on the four-person university team.
- This statement gives the percentage of eligible athletes out of a total of 20. However, it doesn't provide the exact numbers required to calculate the total number of ways to select the team.
Combining both statements:
- By combining both statements, we can deduce the number of eligible candidates and the number of team slots.
- From statement 2, we know that 60% of 20 athletes are eligible. This gives us 12 eligible candidates.
- Statement 1 tells us that the number of eligible candidates is three times greater than the number of team slots. Therefore, the number of team slots is 4.
- With this information, we can calculate that the coach can select the team in 12C4 ways, which is the combination of 12 eligible candidates taken 4 at a time.
Conclusion:
- Each statement alone is not sufficient to answer the question asked, but together, they provide enough information to determine the total number of ways the coach can select the university team. Therefore, the correct answer is option D.
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In how many ways can a coach select a university team from a pool of eligible candidates?(1) The number of eligible candidates is three times greater than the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.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 'D'. Can you explain this answer?
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In how many ways can a coach select a university team from a pool of eligible candidates?(1) The number of eligible candidates is three times greater than the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.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 'D'. 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 In how many ways can a coach select a university team from a pool of eligible candidates?(1) The number of eligible candidates is three times greater than the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can a coach select a university team from a pool of eligible candidates?(1) The number of eligible candidates is three times greater than the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.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 'D'. Can you explain this answer?.
In how many ways can a coach select a university team from a pool of eligible candidates?(1) The number of eligible candidates is three times greater than the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.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 'D'. 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 In how many ways can a coach select a university team from a pool of eligible candidates?(1) The number of eligible candidates is three times greater than the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can a coach select a university team from a pool of eligible candidates?(1) The number of eligible candidates is three times greater than the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.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 'D'. Can you explain this answer?.
Solutions for In how many ways can a coach select a university team from a pool of eligible candidates?(1) The number of eligible candidates is three times greater than the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.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 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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