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How many books will fit into a drawer?
(1) Each book has a volume of 10 cubic centimeters.
(2) The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.
  • 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?
Most Upvoted Answer
How many books will fit into a drawer?(1) Each book has a volume of 10...
Statement 1: Each book has a volume of 10 cubic centimeters.
Since we have no information about the size of the drawer, statement 1 is NOT SUFFICIENT
Statement 2: The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.
Since we have no information about the size of the books, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
It's very tempting to think that, since the volume of the drawer = (300)(30)(20) = 180,000 cubic centimeters, we need only divide that this volume by the volume of one book to determine the number of books that will fit in the drawer. To better understand why this reasoning is faulty, let's examine two possible cases:
Case a: The measurements of the book are 1000 cm by 0.1 cm by 0.1 cm (notice that the volume of this book is 10 cubic centimeters). Since this book is far too long to fit into the drawer, the answer to the target question is ZERO books will fit into the drawer
Case b: The measurements of the book are 10 cm by 1 cm by 1 cm (the volume of this book is still 10 cubic centimeters). In this case, the answer to the target question is more than zero books will fit into the drawer
Since we can’t answer the target question with certainty, the combined statements are NOT SUFFICIENT
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Community Answer
How many books will fit into a drawer?(1) Each book has a volume of 10...
Statement 1: Each book has a volume of 10 cubic centimeters.
Since we have no information about the size of the drawer, statement 1 is NOT SUFFICIENT
Statement 2: The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.
Since we have no information about the size of the books, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
It's very tempting to think that, since the volume of the drawer = (300)(30)(20) = 180,000 cubic centimeters, we need only divide that this volume by the volume of one book to determine the number of books that will fit in the drawer. To better understand why this reasoning is faulty, let's examine two possible cases:
Case a: The measurements of the book are 1000 cm by 0.1 cm by 0.1 cm (notice that the volume of this book is 10 cubic centimeters). Since this book is far too long to fit into the drawer, the answer to the target question is ZERO books will fit into the drawer
Case b: The measurements of the book are 10 cm by 1 cm by 1 cm (the volume of this book is still 10 cubic centimeters). In this case, the answer to the target question is more than zero books will fit into the drawer
Since we can’t answer the target question with certainty, the combined statements are NOT SUFFICIENT
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How many books will fit into a drawer?(1) Each book has a volume of 10 cubic centimeters.(2) The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.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 'E'. Can you explain this answer?
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How many books will fit into a drawer?(1) Each book has a volume of 10 cubic centimeters.(2) The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.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 '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 How many books will fit into a drawer?(1) Each book has a volume of 10 cubic centimeters.(2) The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.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 '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 How many books will fit into a drawer?(1) Each book has a volume of 10 cubic centimeters.(2) The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.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 'E'. Can you explain this answer?.
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