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  3. Compare Quantity A and Quantity B, using additional information centered above t

Compare Quantity A and Quantity B, using additional information centered above t

游客2024-01-12  16
问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(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.
A symbol that appears more than once in a question has the same meaning throughout the question. [br]
选项
答案 D
解析 In the question, you are given that x = 7n + 2 and y = 6n + 3. Substituting the given expressions for x and y in Quantity A, you get x + y = 13n + 5.
Using trial and error, you can compare Quantity A, the ones digit of 13n + 5, and Quantity B, 5, by plugging in a few values for the positive integer n.
If n = 1, then x + y = 18 and the ones digit is 8, which is greater than 5. So in this case Quantity A is greater than Quantity B.
If n = 2, then x+y = 3l and the ones digit is 1, which is less than 5. So in this case Quantity B is greater than Quantity A.
Since in one case Quantity A is greater than Quantity B, and in the other case Quantity B is greater than Quantity A, you can conclude that the correct answer is Choice D.
This explanation uses the following strategies.
Strategy 10: Trial and Error
Strategy 13: Determine Whether a Conclusion Follows from the Information Given
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