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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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.
Quantity A: The number of integers in set S
Quantity B: 72
(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 'C'. Can you explain this answer?
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Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Given Information
Set S consists of all positive integers less than 81 that are not equal to the square of an integer.
Analysis
- The numbers that are squares of integers less than 81 are: 1, 4, 9, 16, 25, 36, 49, and 64.
- Therefore, the numbers in set S are: 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, and 80.
- The number of integers in set S is 64.
Comparison
Quantity A: The number of integers in set S is 64.
Quantity B: 72
Conclusion
Since Quantity A (64) is not equal to Quantity B (72), the two quantities are not equal. Therefore, the correct answer is option 'C' (The two quantities are equal).
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Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Set S consists of all integers from 1 to 80, except those that are equal to the square of an integer. So, Quantity A, the number of integers in set S, is equal to the number of positive integers that are less than 81 minus the number of positive integers less than 81 that are equal to the square of an integer.
Clearly, there are 80 positive integers that are less than 81.
One way to determine the number of positive integers less than 81 that are squares of integers is by noticing that 81 is equal to 92 and concluding that the squares of the integers from 1 to 8 are all positive integers that are less than 81.
You can also draw this conclusion by squaring each of the positive integers, beginning with 1, until you get to an integer n such that n2 is greater than or equal to 81. Either way, there are 8 positive integers less than 81 that are squares of integers..
Therefore, the number of integers in set S is 80 − 8, or 72, which is equal to Quantity B. So Quantity A is equal to Quantity B, and the correct answer is Choice C.
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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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.Quantity A: The number of integers in set SQuantity B: 72(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 'C'. 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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.Quantity A: The number of integers in set SQuantity B: 72(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 'C'. 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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.Quantity A: The number of integers in set SQuantity B: 72(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 'C'. 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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.Quantity A: The number of integers in set SQuantity B: 72(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 'C'. 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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.Quantity A: The number of integers in set SQuantity B: 72(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 'C'. 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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.Quantity A: The number of integers in set SQuantity B: 72(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 'C'. 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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.Quantity A: The number of integers in set SQuantity B: 72(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 'C'. 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. Set S consists of all positive integers less than 81 that are not equal to the square of an integer.Quantity A: The number of integers in set SQuantity B: 72(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 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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