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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. x is an integer and 23 < x="" />< />
Quantity A : The median of the five integers 23, 24, 26, 27, and x.
Quantity B - 25
  • 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?
Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Understanding the Problem
In the given scenario, we are comparing the median of a set of five integers that includes 23, 24, 26, 27, and an unknown integer x.
Key Information:
- The integers are: 23, 24, 26, 27, and x.
- x is defined as an integer.
- The median of a list of numbers is the middle number when the numbers are arranged in ascending order.
Effect of x on the Median
1. Different Values of x:
- If x is less than 23, the ordered list is: x, 23, 24, 26, 27. The median is 24.
- If x is 23, the ordered list is: 23, 23, 24, 26, 27. The median is 24.
- If x is 24, the ordered list is: 23, 24, 24, 26, 27. The median is 24.
- If x is 25, the ordered list is: 23, 24, 25, 26, 27. The median is 25.
- If x is 26, the ordered list is: 23, 24, 26, 26, 27. The median is 26.
- If x is 27 or greater, the ordered list is: 23, 24, 26, 27, x. The median is 26 or greater.
Conclusion: Quantity Comparison
- The median can be 24, 25, or 26 (or higher) depending on the value of x.
- Therefore, it is impossible to definitively determine whether Quantity A (the median) is greater than, less than, or equal to Quantity B (25) without knowing the specific value of x.
Final Answer
Hence, the correct answer is option 'D': The relationship cannot be determined from the information given.
Free Test
Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
You are given that x is an integer that is greater than 23 and less than 27. So x could be 24, 25, or 26. If x = 24, the median of the five integers 23, 24, 26, 27, and x is 24. Similarly, if x = 25, the median of the five integers is 25, and if x = 26, the median of the five integers is 26. So the median of the five integers is 24, 25, or 26. Thus the median of the five integers could be less than, equal to, or greater than 25. The correct answer is Choice D.
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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. x is an integer and 23 Quantity A : The median of the five integers 23, 24, 26, 27, and x.Quantity B - 25a)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?
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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x is an integer and 23 Quantity A : The median of the five integers 23, 24, 26, 27, and x.Quantity B - 25a)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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x is an integer and 23 Quantity A : The median of the five integers 23, 24, 26, 27, and x.Quantity B - 25a)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. A symbol that appears more than once in a question has the same meaning throughout the question.Q. x is an integer and 23 Quantity A : The median of the five integers 23, 24, 26, 27, and x.Quantity B - 25a)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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