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

游客2024-01-12  21

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 A

解析 The two-digit positive integers are the integers from 10 to 99. There are 90 such integers. In 9 of these integers, namely, 11, 22, 33,..., 99, the units digit and tens digit are equal. Hence, Quantity A, the number of two-digit positive integers for which the units digit is not equal to the tens digit, is 90-9, or 81. Since Quantity B is 80, the correct answer is Choice A.
This explanation uses the following strategy.
Strategy 11: Divide into Cases
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