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Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?
(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.
(2) Before Michael acquired the 10 additional books, he had more than 24 books.
(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.
(2) Before Michael acquired the 10 additional books, he had more than 24 books.
- 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
Michael arranged all his books in a bookcase with 10 books on each she...
If x is the number of books Michael had before he acquired the 10 additional books, then x is a multiple of 10. After Michael acquired the 10 additional books, he had x + 10 books and x + 10 is a multiple of 12.
(1) If x < 96, where xis a multiple of 10, then x = 10, 20, 30, 40, 50, 60, 70, 80, or 90 and x + 10 = 20,30,40,50, 60,70, 80,90, or 100.
Since x + 10 is a multiple of 12, then
x + 10 = 60 and x = 50; SUFFICIENT
(2) If x > 24, where x is a multiple of 10, then x must be one of the numbers 30, 40, 50, 60, 70, 80, 90,100,110,... , and x + 10 must be one of the numbers 40, 50, 60, 70, 80, 90, 00,110,120,
Since there is more than one multiple of 12 among these numbers (for example, 60 and 120), the value of x + 10, and therefore the value of x, cannot be determined; NOT sufficient.
The correct answer is A; statement 1 alone is sufficient.
(1) If x < 96, where xis a multiple of 10, then x = 10, 20, 30, 40, 50, 60, 70, 80, or 90 and x + 10 = 20,30,40,50, 60,70, 80,90, or 100.
Since x + 10 is a multiple of 12, then
x + 10 = 60 and x = 50; SUFFICIENT
(2) If x > 24, where x is a multiple of 10, then x must be one of the numbers 30, 40, 50, 60, 70, 80, 90,100,110,... , and x + 10 must be one of the numbers 40, 50, 60, 70, 80, 90, 00,110,120,
Since there is more than one multiple of 12 among these numbers (for example, 60 and 120), the value of x + 10, and therefore the value of x, cannot be determined; NOT sufficient.
The correct answer is A; statement 1 alone is sufficient.
Most Upvoted Answer
Michael arranged all his books in a bookcase with 10 books on each she...
If x is the number of books Michael had before he acquired the 10 additional books, then x is a multiple of 10. After Michael acquired the 10 additional books, he had x + 10 books and x + 10 is a multiple of 12.
(1) If x < 96, where xis a multiple of 10, then x = 10, 20, 30, 40, 50, 60, 70, 80, or 90 and x + 10 = 20,30,40,50, 60,70, 80,90, or 100.
Since x + 10 is a multiple of 12, then
x + 10 = 60 and x = 50; SUFFICIENT
(2) If x > 24, where x is a multiple of 10, then x must be one of the numbers 30, 40, 50, 60, 70, 80, 90,100,110,... , and x + 10 must be one of the numbers 40, 50, 60, 70, 80, 90, 00,110,120,
Since there is more than one multiple of 12 among these numbers (for example, 60 and 120), the value of x + 10, and therefore the value of x, cannot be determined; NOT sufficient.
The correct answer is A; statement 1 alone is sufficient.
(1) If x < 96, where xis a multiple of 10, then x = 10, 20, 30, 40, 50, 60, 70, 80, or 90 and x + 10 = 20,30,40,50, 60,70, 80,90, or 100.
Since x + 10 is a multiple of 12, then
x + 10 = 60 and x = 50; SUFFICIENT
(2) If x > 24, where x is a multiple of 10, then x must be one of the numbers 30, 40, 50, 60, 70, 80, 90,100,110,... , and x + 10 must be one of the numbers 40, 50, 60, 70, 80, 90, 00,110,120,
Since there is more than one multiple of 12 among these numbers (for example, 60 and 120), the value of x + 10, and therefore the value of x, cannot be determined; NOT sufficient.
The correct answer is A; statement 1 alone is sufficient.
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Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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?
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Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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?.
Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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?.
Solutions for Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? defined & explained in the simplest way possible. Besides giving the explanation of
Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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?, a detailed solution for Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? has been provided alongside types of Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? theory, EduRev gives you an
ample number of questions to practice Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books.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? tests, examples and also practice GMAT tests.
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