SAT官方试题分享：2013年11月22日(数学)

2013年11月21日

Read the following SAT test question and then click on a button to select your answer.

For how many positive two-digit integers is the ones digit greater than twice the tens digit?

(A) 16

(B) 20

(C) 28

(D) 32

(E) 36

正确答案：A

解析：

The correct answer is (A). If the tens digit is , there are positive two-digit integers with the ones digit greater than twice the tens digit: and . If the tens digit is , there are positive two-digit integers with the ones digit greater than twice the tens digit: and . If the tens digit is , there are positive two-digit integers with the ones digit greater than twice the tens digit: and . If the tens digit is , there is positive two-digit integer with the ones digit greater than twice the tens digit: . If the tens digit is equal to or greater than , then the ones digits, which cannot be greater than , is not greater than twice the tens digit. Therefore, there is a total of positive two-digit integers for which the ones digit is greater than twice the tens digit.

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