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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.
Q. The radius of circle A is 12 greater than the radius of circle B.
Quantity A - The circumference of circle A minus the circumference of circle B.
Quantity B - 72
- a)Quantity A is greater.
- b)Quantity B is greater
- c)The two quantities are equal.
- d)The relationship cannot be determined from the information given.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Since the radius of circle A is 12 greater than the radius of circle B, if the radius of circle B
is r, then the radius of circle A is r + 12. The circumference of circle A minus the circumference
of circle B is 2π(r + 12) − 2πr, which simplifies to 24π. Since π > 3, it follows that 24π > 24(3); that is, 24π > 72. Since Quantity B is 72, the correct answer is Choice A.
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Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
To determine whether Quantity A or Quantity B is greater, we need to compare the expressions for each quantity and simplify them using the given information.
Let's start by considering the formulas for the circumference of a circle:
Circumference of circle A = 2π(radius of circle A)
Circumference of circle B = 2π(radius of circle B)
Given that the radius of circle A is 12 greater than the radius of circle B, we can express this relationship as:
(radius of circle A) = (radius of circle B) + 12
Now, let's substitute these expressions into the formulas for the circumferences:
Circumference of circle A = 2π((radius of circle B) + 12)
Circumference of circle B = 2π(radius of circle B)
Next, we can express Quantity A and Quantity B in terms of the circumferences of the circles:
Quantity A = (2π((radius of circle B) + 12)) - (2π(radius of circle B))
Quantity B = 72
To simplify Quantity A, we can distribute the 2π term:
Quantity A = 2π(radius of circle B) + 24π - 2π(radius of circle B)
Simplifying further, we can see that the terms containing the radius of circle B cancel out:
Quantity A = 24π
Now we can compare Quantity A and Quantity B:
Quantity A = 24π
Quantity B = 72
Since the value of π is approximately 3.14, we can calculate the approximate value of Quantity A:
Quantity A ≈ 24 * 3.14 ≈ 75.36
Comparing Quantity A and Quantity B, we can see that Quantity A is greater than Quantity B:
Quantity A > Quantity B
Therefore, the correct answer is option A) Quantity A is greater.
Let's start by considering the formulas for the circumference of a circle:
Circumference of circle A = 2π(radius of circle A)
Circumference of circle B = 2π(radius of circle B)
Given that the radius of circle A is 12 greater than the radius of circle B, we can express this relationship as:
(radius of circle A) = (radius of circle B) + 12
Now, let's substitute these expressions into the formulas for the circumferences:
Circumference of circle A = 2π((radius of circle B) + 12)
Circumference of circle B = 2π(radius of circle B)
Next, we can express Quantity A and Quantity B in terms of the circumferences of the circles:
Quantity A = (2π((radius of circle B) + 12)) - (2π(radius of circle B))
Quantity B = 72
To simplify Quantity A, we can distribute the 2π term:
Quantity A = 2π(radius of circle B) + 24π - 2π(radius of circle B)
Simplifying further, we can see that the terms containing the radius of circle B cancel out:
Quantity A = 24π
Now we can compare Quantity A and Quantity B:
Quantity A = 24π
Quantity B = 72
Since the value of π is approximately 3.14, we can calculate the approximate value of Quantity A:
Quantity A ≈ 24 * 3.14 ≈ 75.36
Comparing Quantity A and Quantity B, we can see that Quantity A is greater than Quantity B:
Quantity A > Quantity B
Therefore, the correct answer is option A) Quantity A is greater.
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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. The radius of circle A is 12 greater than the radius of circle B.Quantity A - The circumference of circle A minus the circumference of circle B.Quantity B - 72a)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer?
Question Description
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. The radius of circle A is 12 greater than the radius of circle B.Quantity A - The circumference of circle A minus the circumference of circle B.Quantity B - 72a)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. The radius of circle A is 12 greater than the radius of circle B.Quantity A - The circumference of circle A minus the circumference of circle B.Quantity B - 72a)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. The radius of circle A is 12 greater than the radius of circle B.Quantity A - The circumference of circle A minus the circumference of circle B.Quantity B - 72a)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer?.
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. The radius of circle A is 12 greater than the radius of circle B.Quantity A - The circumference of circle A minus the circumference of circle B.Quantity B - 72a)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. The radius of circle A is 12 greater than the radius of circle B.Quantity A - The circumference of circle A minus the circumference of circle B.Quantity B - 72a)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. The radius of circle A is 12 greater than the radius of circle B.Quantity A - The circumference of circle A minus the circumference of circle B.Quantity B - 72a)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. The radius of circle A is 12 greater than the radius of circle B.Quantity A - The circumference of circle A minus the circumference of circle B.Quantity B - 72a)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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