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两道SAT数学练习题(附答案)

  SAT数学考试虽然简单,我们也不能够轻视。下面小编为大家整理了两道SAT数学练习题,包括答案,希望能够帮助大家更好地备考SAT数学考试。

  1、If kis divisible by 2, 3, and 15, which of the following is also divisible by these numbers?

  Answer Choices

  (A) k + 5

  (B) k + 15

  (C) k + 20

  (D) k + 30

  (E) k + 45

  The correct answer is D

  Explanation

  Since kis divisible by 2, 3, and 15, kmust be a multiple of 30, as 30is the least common multiple of 2, 3, and 15. Some multiples of 30are 0, 30, 60, 90, and 120.

  If you add two multiples of 30, the sum will also be a multiple of 30. For example, 60and 90are multiples of 30and their sum, 150, is also a multiple of 30.

  If you add a multiple of 30to a number that is not a multiple of 30, the sum will not be a multiple of 30. For example, 60is a multiple of 30and 45is not. Their sum, 105, is not a multiple of 30.

  The question asks which answer choice is divisible by 2, 3, and 15; that is, which answer choice is a multiple of 30. All the answer choices are in the form of "kplus a number." Only choice (D), k + 30, has kadded to a multiple of 30. The sum of kand 30is also a multiple of 30, so the correct answer is choice (D).

  2、IfSis the set of positive integers that are multiples of7, and ifTis the set of positive integers that are multiples of13, how many integers are in the intersection ofSandT?

  Answer Choices

  (A) None

  (B) One

  (C) Seven

  (D) Thirteen

  (E) More than thirteen

  The correct answer is E

  Explanation

  The intersection of sets Sand Tis the set of integers that are in Sand also in T. Set Sconsists of all positive integers that are multiples of 7, and set Tconsists of all positive integers that are multiples of 13, so the intersection of Sand Tis the set of positive integers that are multiples of both 7and 13. This is the set of all positive integers that are multiples of 7 times 13 = 91. There are an infinite number of positive integers that are multiples of 91, so there are more than thirteen integers in the intersection of Sand T.

  以上便是无忧小编为大家整理的两道SAT数学练习题以及答案的相关介绍,希望对大家有所帮助。更多SAT考试相关资料尽在无忧教育网SAT考试频道,无忧小编祝大家都能取得理想的SAT数学考试成绩!