2. 外语
  3. Each of Questions 1 to 7 presents two quantities. Quantity A and Quantity B. Compare the two quantities. You may use additional

Each of Questions 1 to 7 presents two quantities. Quantity A and Quantity B. Compare the two quantities. You may use additional

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问题 Each of Questions 1 to 7 presents two quantities. Quantity A and Quantity B. Compare the two quantities. You may use additional information centered above the quantities if such information is given. Choose one of the following answer choices:
A if Quantity A is greater;
B if Quantity B is greater;
C if the two quantities are equal;
D if you cannot determine the relationship based on the given information.

选项 A、 
B、 
C、 
D、 
答案A
解析 The correct answer is A. Each of the given parameters—that 3a-b=20, that a and b are integers, and that b<1—is significant in determining the maximum value of b. Because it is given that that a and b are integers and that b<1, b can only have one of the following values: 0,-1,-2,-3,-4, and so on. One way to determine the maximum value of b would be to test the possible values, starting with the greatest, in the equation 3a-b=20 to find a value of b such that a is an integer. For 6 = 0, a = 20/3, which is not an integer. For b = -1, a =19/3, which is not an integer. For b = -2, a = 18/3, or 6, which is an integer. Thus, the maximum value of b is -2, and Quantity A is greater than Quantity B.
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