下面是两道SAT数学练习题的内容,包括了答案解析。SAT数学练习题是大家熟悉SAT数学考试出题方式和思考方向最重要的途径,下面我们一起来看看这两道SAT数学练习题的具体内容吧,看看有哪些可取之处。
1、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
.
2、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).
以上就是这两道SAT数学练习题的全部内容,后面的答案解析非常清晰详细。大家在备考SAT数学考试的时候,一定要以掌握解题的思路为备考的重点,对于知识点的补充要更加的全面,这样才能更好的迎接SAT数学考试。
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