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 is divisible by
,
, and
, which of the following is also divisible by these numbers?
Answer Choices
(A)
(B)
(C)
(D)
(E)
The correct answer is D
Explanation
Since is divisible by
,
, and
,
must be a multiple of
, as
is the least common multiple of
,
, and
. Some multiples of
are
,
,
,
, and
.
If you add two multiples of , the sum will also be a multiple of
. For example,
and
are multiples of
and their sum,
, is also a multiple of
.
If you add a multiple of to a number that is not a multiple of
, the sum will not be a multiple of
. For example,
is a multiple of
and
is not. Their sum,
, is not a multiple of
.
The question asks which answer choice is divisible by ,
, and
; that is, which answer choice is a multiple of
. All the answer choices are in the form of "
plus a number." Only choice (D),
, has
added to a multiple of
. The sum of
and
is also a multiple of
, so the correct answer is choice (D).
2、Ifis the set of positive integers that are multiples of
, and if
is the set of positive integers that are multiples of
, how many integers are in the intersection of
and
?
Answer Choices
(A) None
(B) One
(C) Seven
(D) Thirteen
(E) More than thirteen
The correct answer is E
Explanation
The intersection of sets and
is the set of integers that are in
and also in
. Set
consists of all positive integers that are multiples of
, and set
consists of all positive integers that are multiples of
, so the intersection of
and
is the set of positive integers that are multiples of both
and
. This is the set of all positive integers that are multiples of
. There are an infinite number of positive integers that are multiples of
, so there are more than thirteen integers in the intersection of
and
.
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!