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A college admissions committee will grant a certain number of $10,000 scholarships, $5,000 scholarships, and $1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?
(1) In total, six scholarships will be granted.
(2) An equal number of scholarships will be granted at each scholarship level
  • 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
A college admissions committee will grant a certain number of $10,000 ...
Statement (1): In total, six scholarships will be granted.
From statement (1), we know that there will be a total of six scholarships granted. However, we don't have any information about how these scholarships will be distributed among the different levels (e.g., $10,000, $5,000, $1,000). Therefore, statement (1) alone is not sufficient to determine the number of different ways the scholarships can be doled out.
Statement (2): An equal number of scholarships will be granted at each scholarship level.
From statement (2), we know that an equal number of scholarships will be granted at each scholarship level. However, we don't have any specific information about the number of scholarships at each level or the total number of scholarships. Therefore, statement (2) alone is not sufficient to determine the number of different ways the scholarships can be doled out.
Combining both statements, we know that a total of six scholarships will be granted, and an equal number of scholarships will be granted at each level. However, we still don't have enough information to determine the number of different ways the scholarships can be doled out among the pool of 10 applicants. We don't know the specific distribution of scholarships among the different levels or the number of scholarships at each level.
Therefore, both statements together are sufficient to answer the question asked, but neither statement alone is sufficient. Thus, 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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Community Answer
A college admissions committee will grant a certain number of $10,000 ...
Statement (1) alone:
- With statement (1) alone, we know that a total of six scholarships will be granted.
- However, we do not know how many scholarships of each amount will be granted. Therefore, statement (1) alone is not sufficient to determine the number of different ways the scholarships can be distributed among the applicants.

Statement (2) alone:
- With statement (2) alone, we know that an equal number of scholarships will be granted at each scholarship level.
- This means that there will be an equal number of $10,000, $5,000, and $1,000 scholarships awarded.
- However, we do not know the total number of scholarships that will be granted. Therefore, statement (2) alone is not sufficient to determine the number of different ways the scholarships can be distributed among the applicants.

Both statements together:
- Combining both statements, we know that a total of six scholarships will be granted and an equal number of scholarships will be granted at each level.
- With this information, we can determine that there will be 2 scholarships at each level (since 2 x 3 = 6).
- Now, we can calculate the number of ways the scholarships can be distributed among the applicants by considering the combinations of applicants for each scholarship level.
- Therefore, both statements together are sufficient to answer the question.
- The correct answer is option 'C'.
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A college admissions committee will grant a certain number of $10,000 scholarships, $5,000 scholarships, and $1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?(1) In total, six scholarships will be granted.(2) An equal number of scholarships will be granted at each scholarship levela)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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A college admissions committee will grant a certain number of $10,000 scholarships, $5,000 scholarships, and $1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?(1) In total, six scholarships will be granted.(2) An equal number of scholarships will be granted at each scholarship levela)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 A college admissions committee will grant a certain number of $10,000 scholarships, $5,000 scholarships, and $1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?(1) In total, six scholarships will be granted.(2) An equal number of scholarships will be granted at each scholarship levela)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 A college admissions committee will grant a certain number of $10,000 scholarships, $5,000 scholarships, and $1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?(1) In total, six scholarships will be granted.(2) An equal number of scholarships will be granted at each scholarship levela)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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If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?(1) In total, six scholarships will be granted.(2) An equal number of scholarships will be granted at each scholarship levela)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'. 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If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?(1) In total, six scholarships will be granted.(2) An equal number of scholarships will be granted at each scholarship levela)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'. 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If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?(1) In total, six scholarships will be granted.(2) An equal number of scholarships will be granted at each scholarship levela)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? tests, examples and also practice GMAT tests.
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