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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. n is a positive integer that is greater than 3 and has d positive divisors.
Quantity A - n
Quantity B - 2d-1
- 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 'D'. Can you explain this answer?
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Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Since there is no obvious relationship between the quantities n and 2d − 1, it is a goodidea to try a few values of n to see what happens. Note that you are given that n is an integer greater than 3, so you can start comparing the quantities for the case n = 4 and proceed from there
Case 1: n = 4. The integer 4 has three positive divisors, 1, 2, and 4. So in this case, d = 3. Therefore 2d − 1 = 23 − 1 = 4, and the two quantities are equal.
Case 2: n = 5. The integer 5 has two positive divisors, 1 and 5. So in this case, d = 2. Therefore 2d − 1 = 22 − 1 = 2, and Quantity A is greater than Quantity B.
In one case the two quantities are equal, and in the other case Quantity A is greater
than Quantity B. Therefore the correct answer is Choice D.
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Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Given:
- n is a positive integer greater than 3.
- n has d positive divisors.
To find:
Compare Quantity A (n) and Quantity B (2d-1).
Solution:
To compare the two quantities, let's analyze the information given.
Positive divisors:
The positive divisors of a number are the numbers that divide it evenly without leaving a remainder. For example, the positive divisors of 6 are 1, 2, 3, and 6.
Number of positive divisors:
To find the number of positive divisors of a given number, we count the total number of divisors it has. For example, the number 6 has 4 positive divisors (1, 2, 3, 6).
Quantity A - n:
Quantity A is simply the value of n, which is a positive integer greater than 3.
Quantity B - 2d-1:
Quantity B is given by the expression 2d-1. Here, d represents the number of positive divisors of n.
Analysis:
Now, let's analyze the relationship between Quantity A and Quantity B.
- Since n is a positive integer greater than 3, we know that Quantity A is a positive integer.
- The expression 2d-1 represents a positive integer subtracted by 1. Since d represents the number of positive divisors of n, and n is greater than 3, we can conclude that d is also a positive integer.
- However, without any additional information about the specific value of n or the number of positive divisors it has, we cannot determine the relationship between Quantity A and Quantity B.
Conclusion:
Based on the information given, the relationship between Quantity A and Quantity B cannot be determined. Therefore, the correct answer is option D - The relationship cannot be determined from the information given.
- n is a positive integer greater than 3.
- n has d positive divisors.
To find:
Compare Quantity A (n) and Quantity B (2d-1).
Solution:
To compare the two quantities, let's analyze the information given.
Positive divisors:
The positive divisors of a number are the numbers that divide it evenly without leaving a remainder. For example, the positive divisors of 6 are 1, 2, 3, and 6.
Number of positive divisors:
To find the number of positive divisors of a given number, we count the total number of divisors it has. For example, the number 6 has 4 positive divisors (1, 2, 3, 6).
Quantity A - n:
Quantity A is simply the value of n, which is a positive integer greater than 3.
Quantity B - 2d-1:
Quantity B is given by the expression 2d-1. Here, d represents the number of positive divisors of n.
Analysis:
Now, let's analyze the relationship between Quantity A and Quantity B.
- Since n is a positive integer greater than 3, we know that Quantity A is a positive integer.
- The expression 2d-1 represents a positive integer subtracted by 1. Since d represents the number of positive divisors of n, and n is greater than 3, we can conclude that d is also a positive integer.
- However, without any additional information about the specific value of n or the number of positive divisors it has, we cannot determine the relationship between Quantity A and Quantity B.
Conclusion:
Based on the information given, the relationship between Quantity A and Quantity B cannot be determined. Therefore, the correct answer is option D - The relationship cannot be determined from the information given.
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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. n is a positive integer that is greater than 3 and has d positive divisors.Quantity A - nQuantity B - 2d-1a)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 'D'. 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 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. n is a positive integer that is greater than 3 and has d positive divisors.Quantity A - nQuantity B - 2d-1a)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 'D'. 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. n is a positive integer that is greater than 3 and has d positive divisors.Quantity A - nQuantity B - 2d-1a)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 'D'. 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. n is a positive integer that is greater than 3 and has d positive divisors.Quantity A - nQuantity B - 2d-1a)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 'D'. 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. n is a positive integer that is greater than 3 and has d positive divisors.Quantity A - nQuantity B - 2d-1a)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 'D'. 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. n is a positive integer that is greater than 3 and has d positive divisors.Quantity A - nQuantity B - 2d-1a)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 'D'. 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. n is a positive integer that is greater than 3 and has d positive divisors.Quantity A - nQuantity B - 2d-1a)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 'D'. 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. n is a positive integer that is greater than 3 and has d positive divisors.Quantity A - nQuantity B - 2d-1a)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 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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