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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. r, s, and t are three consecutive odd integers such that r < s="" />< />
Quantity A: r + s + 1
Quantity B: s + t - 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 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
You are given that three numbers, r, s, and t, are consecutive odd integers and that r < s="" />< t.="" this="" means="" that="" if="" you="" express="" the="" three="" consecutive="" odd="" integers="" in="" terms="" of="" r,="" they="" are="" r,="" r="" +="" 2,="" and="" r="" +="" />
One way to approach this problem is to set up a placeholder relationship between the two quantities and simplify it to see what conclusions you can draw.
Simplification 1: Begin simplifying by expressing s and t in terms of r. The steps in this simplification can be done as follows.
In the last step of the simplification, you can easily see that 3 < 5.="" if="" you="" follow="" the="" simplification="" steps="" in="" reverse,="" you="" can="" see="" that="" the="" placeholder="" in="" each="" step="" remains="" unchanged,="" so="" you="" can="" conclude="" that="" quantity="" b="" is="" greater="" than="" quantity="" a,="" and="" the="" correct="" answer="" is="" choice="" />
Simplification 2: Since the number s appears in both quantities, you can begin the simplification by subtracting s from both sides of the relationship and then express t in terms of r. The steps in this simplification can be done as follows.
In the last step of the simplification, you can easily see that 1 < 3.="" if="" you="" follow="" the="" simplification="" steps="" in="" reverse,="" you="" can="" see="" that="" the="" placeholder="" in="" each="" step="" remains="" unchanged,="" so="" you="" can="" conclude="" that="" quantity="" b="" is="" greater="" than="" quantity="" a,="" and="" the="" correct="" answer="" is="" choice="" />
Note that in this solution, the fact that r is odd is not used; what is used is the fact that the consecutive odd integers differ by 2.
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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 meaningthroughout the question.Q. r, s, and t are three consecutive odd integers such that r Quantity A: r + s + 1Quantity B: s + t - 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 'B'. 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 meaningthroughout the question.Q. r, s, and t are three consecutive odd integers such that r Quantity A: r + s + 1Quantity B: s + t - 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 'B'. 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 meaningthroughout the question.Q. r, s, and t are three consecutive odd integers such that r Quantity A: r + s + 1Quantity B: s + t - 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 'B'. 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 meaningthroughout the question.Q. r, s, and t are three consecutive odd integers such that r Quantity A: r + s + 1Quantity B: s + t - 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 'B'. Can you explain this answer?.
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