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Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.
The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?
(A) The arithmetic mean of the four largest numbers is 100.
(B) The arithmetic mean of the four smallest numbers is 80.
- a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.
- b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.
- c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Directions: This data sufficiency problem consists of a question and ...
Understanding the Problem
To find the range of a group of five numbers with a known arithmetic mean of 96, we start by calculating the total sum of these numbers:
- Total sum = Mean × Number of values = 96 × 5 = 480.
We need more information to determine the range, which is defined as the largest number minus the smallest number.
Analyzing Statement (A)
- Statement (A) states that the arithmetic mean of the four largest numbers is 100.
- From this, we can calculate the sum of the four largest numbers:
- Sum = Mean × Number of values = 100 × 4 = 400.
- If the sum of the four largest numbers is 400, then the smallest number can be derived:
- Smallest number = Total sum - Sum of four largest numbers = 480 - 400 = 80.
- Thus, we know the largest number (part of the four largest) must be at least 80, but we cannot determine it exactly, which leaves us unable to calculate the range directly.
Analyzing Statement (B)
- Statement (B) indicates that the arithmetic mean of the four smallest numbers is 80.
- Therefore, the sum of the four smallest numbers is:
- Sum = Mean × Number of values = 80 × 4 = 320.
- From this, we can find the largest number:
- Largest number = Total sum - Sum of four smallest numbers = 480 - 320 = 160.
- Again, we find the smallest number (part of the four smallest) must be at most 160, but we do not have enough information to calculate the exact range.
Combining Statements (A) and (B)
- By combining both statements, we know:
- From Statement (A): Smallest number = 80.
- From Statement (B): Largest number = 160.
- Therefore, we can calculate the range:
- Range = Largest number - Smallest number = 160 - 80 = 80.
Conclusion
Thus, both statements together provide sufficient information to determine the range, while neither statement alone is adequate. Therefore, the correct answer is option 'C'.
To find the range of a group of five numbers with a known arithmetic mean of 96, we start by calculating the total sum of these numbers:
- Total sum = Mean × Number of values = 96 × 5 = 480.
We need more information to determine the range, which is defined as the largest number minus the smallest number.
Analyzing Statement (A)
- Statement (A) states that the arithmetic mean of the four largest numbers is 100.
- From this, we can calculate the sum of the four largest numbers:
- Sum = Mean × Number of values = 100 × 4 = 400.
- If the sum of the four largest numbers is 400, then the smallest number can be derived:
- Smallest number = Total sum - Sum of four largest numbers = 480 - 400 = 80.
- Thus, we know the largest number (part of the four largest) must be at least 80, but we cannot determine it exactly, which leaves us unable to calculate the range directly.
Analyzing Statement (B)
- Statement (B) indicates that the arithmetic mean of the four smallest numbers is 80.
- Therefore, the sum of the four smallest numbers is:
- Sum = Mean × Number of values = 80 × 4 = 320.
- From this, we can find the largest number:
- Largest number = Total sum - Sum of four smallest numbers = 480 - 320 = 160.
- Again, we find the smallest number (part of the four smallest) must be at most 160, but we do not have enough information to calculate the exact range.
Combining Statements (A) and (B)
- By combining both statements, we know:
- From Statement (A): Smallest number = 80.
- From Statement (B): Largest number = 160.
- Therefore, we can calculate the range:
- Range = Largest number - Smallest number = 160 - 80 = 80.
Conclusion
Thus, both statements together provide sufficient information to determine the range, while neither statement alone is adequate. Therefore, the correct answer is option 'C'.
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Community Answer
Directions: This data sufficiency problem consists of a question and ...
Since the average of the 5 numbers is 96, their total must be 480.
(A) informs us that the average of the four largest numbers is 100, so sum is 4 × 100 = 400.
That means that the fifth (the smallest) number is 480 – 400 = 80, but that does not fix the upper end.
(B) tells us that the average of the four smallest number is 80, so the sum is 4 × 80 = 320, which implies that the largest number is 480 – 320 = 160, but that also does not fix the lower end.
The combination of the two makes it easy: 160 – 80 = 80
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Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer?
Question Description
Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer?.
Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: This data sufficiency problem consists of a question and two statements labelled (A) and (B). You have to decide whether the data given in the statements is sufficient for answering the question.The range of a group of numbers is the value of the largest number minus the value of the smallest. For example, the range of 2, 4, 6, 8 is 8 – 2 = 6. If the arithmetic mean of 5 numbers is 96, what is the range of the numbers?(A) The arithmetic mean of the four largest numbers is 100.(B) The arithmetic mean of the four smallest numbers is 80.a)Statement (A) alone is sufficient, but statement (B) alone is not sufficient to answer the question asked.b)Statement (B) alone is sufficient, but statement (A) alone is not sufficient to answer the question asked.c)Both statements (A) and (B) 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 (A) and (B) together are not sufficient to answer the question asked, and additional data relevant to the problem is needed.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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