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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. A symbol that appears more than once in a question has the same meaning throughout the question.
Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.
Quantity A: The area of rectangle A
Quantity B: The area of rectangle B
(d)The relationship cannot be determined from the information given.
- a)Quantity A is greater.
- b)Quantity B is greater.
- c)The two quantities are equal.
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...
In this question you are asked to compare the area of rectangle A and the area of rectangle B. Since the information given relates the dimensions of both rectangle A and rectangle B to the corresponding dimensions of rectangle C, you can try to use the relationships to make the desired comparison.
If ℓ represents the length of rectangle C and w represents its width, then the length and width of rectangles A and B can be translated into algebraic expressions as follows.
- The length of rectangle A is 10 percent greater than the length of rectangle C, or 1.1ℓ.
- The width of rectangle A is 10 percent less than the width of rectangle C, or 0.9w.
- The length of rectangle B is 20 percent greater than the length of rectangle C, or 1.2ℓ
- The width of rectangle B is 20 percent less than the width of rectangle C, or 0.8w.
In terms of ℓ and w, the area of rectangle A is (1.1ℓ)(0.9w), or 0.99ℓw.
In terms of ℓ and w, the area of rectangle B is (1.2ℓ)(0.8w), or 0.96ℓw.
Since 0.99ℓw is greater than 0.96ℓw, Quantity A is greater than Quantity B, and the correct answer is Choice A.
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Directions: Compare Quantity A and Quantity B, using additional infor...
Comparison of Rectangle A and Rectangle B
Given Information:
- Rectangle A: Length is 10% greater than Rectangle C, width is 10% less than Rectangle C
- Rectangle B: Length is 20% greater than Rectangle C, width is 20% less than Rectangle C
To determine the relationship between Quantity A and Quantity B, we need to calculate the areas of Rectangle A and Rectangle B.
Calculation of Rectangle A:
Let's assume the length of Rectangle C is L and the width of Rectangle C is W.
According to the given information, the length of Rectangle A is 10% greater than L, which is 1.10L.
The width of Rectangle A is 10% less than W, which is 0.90W.
The area of Rectangle A can be calculated as:
Area_A = length_A * width_A
= 1.10L * 0.90W
= 0.99LW
Calculation of Rectangle B:
Using the same assumptions, the length of Rectangle B is 20% greater than L, which is 1.20L.
The width of Rectangle B is 20% less than W, which is 0.80W.
The area of Rectangle B can be calculated as:
Area_B = length_B * width_B
= 1.20L * 0.80W
= 0.96LW
Comparison of Quantity A and Quantity B:
Quantity A = Area_A = 0.99LW
Quantity B = Area_B = 0.96LW
Since L and W are positive values, we can conclude that 0.99LW > 0.96LW.
Therefore, Quantity A (area of Rectangle A) is greater than Quantity B (area of Rectangle B).
Hence, the correct answer is (a) Quantity A is greater.
Given Information:
- Rectangle A: Length is 10% greater than Rectangle C, width is 10% less than Rectangle C
- Rectangle B: Length is 20% greater than Rectangle C, width is 20% less than Rectangle C
To determine the relationship between Quantity A and Quantity B, we need to calculate the areas of Rectangle A and Rectangle B.
Calculation of Rectangle A:
Let's assume the length of Rectangle C is L and the width of Rectangle C is W.
According to the given information, the length of Rectangle A is 10% greater than L, which is 1.10L.
The width of Rectangle A is 10% less than W, which is 0.90W.
The area of Rectangle A can be calculated as:
Area_A = length_A * width_A
= 1.10L * 0.90W
= 0.99LW
Calculation of Rectangle B:
Using the same assumptions, the length of Rectangle B is 20% greater than L, which is 1.20L.
The width of Rectangle B is 20% less than W, which is 0.80W.
The area of Rectangle B can be calculated as:
Area_B = length_B * width_B
= 1.20L * 0.80W
= 0.96LW
Comparison of Quantity A and Quantity B:
Quantity A = Area_A = 0.99LW
Quantity B = Area_B = 0.96LW
Since L and W are positive values, we can conclude that 0.99LW > 0.96LW.
Therefore, Quantity A (area of Rectangle A) is greater than Quantity B (area of Rectangle B).
Hence, the correct answer is (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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.Quantity A: The area of rectangle AQuantity B: The area of rectangle B(d)The relationship cannot be determined from the information given.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.Correct answer is option 'A'. Can you explain this answer?
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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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.Quantity A: The area of rectangle AQuantity B: The area of rectangle B(d)The relationship cannot be determined from the information given.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.Quantity A: The area of rectangle AQuantity B: The area of rectangle B(d)The relationship cannot be determined from the information given.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.Quantity A: The area of rectangle AQuantity B: The area of rectangle B(d)The relationship cannot be determined from the information given.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.Quantity A: The area of rectangle AQuantity B: The area of rectangle B(d)The relationship cannot be determined from the information given.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.Quantity A: The area of rectangle AQuantity B: The area of rectangle B(d)The relationship cannot be determined from the information given.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.Quantity A: The area of rectangle AQuantity B: The area of rectangle B(d)The relationship cannot be determined from the information given.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.Quantity A: The area of rectangle AQuantity B: The area of rectangle B(d)The relationship cannot be determined from the information given.a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.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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