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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. x = (z - 1)2 and y = (z + 1)2
Quantity A - The average (arithmeticmean) of x and y
Quantity B - z2
  • 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?
Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Given Information:
x = (z - 1)²
y = (z + 1)²

Calculation:
To find the average of x and y, we need to add x and y together and then divide by 2.
x + y = (z - 1)² + (z + 1)²
x + y = z² - 2z + 1 + z² + 2z + 1
x + y = 2z² + 2
Average of x and y = (2z² + 2) / 2 = z² + 1

Comparing Quantity A and Quantity B:
Quantity A: The average of x and y is z² + 1
Quantity B: z²
Since z² + 1 is greater than z², Quantity A is greater than Quantity B.
Therefore, the answer is Quantity A is greater (Option A).
Free Test
Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
The average of x and y is x + y/2. Since you are given that x = (z − 1)2 and y = (z + 1)2, you can express Quantity A in terms of z as follows
This expression can be simplified as follows
In terms of z, Quantity A is z2 + 1. Since z2 + 1 is greater than z2 for all values of
z, the correct answer is Choice A.
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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. x = (z - 1)2 and y = (z + 1)2Quantity A - The average (arithmeticmean) of x and yQuantity B - z2a)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?
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. x = (z - 1)2 and y = (z + 1)2Quantity A - The average (arithmeticmean) of x and yQuantity B - z2a)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? 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. x = (z - 1)2 and y = (z + 1)2Quantity A - The average (arithmeticmean) of x and yQuantity B - z2a)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? 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. x = (z - 1)2 and y = (z + 1)2Quantity A - The average (arithmeticmean) of x and yQuantity B - z2a)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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