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Byju's Answer
Standard IX
Mathematics
Venn Diagram
Given μ= ...
Question
Given
μ
=
{
x
/
x
is an integer,
1
≤
x
≤
12
};
A
=
{
x
/
x
is multiple of
2
}
B
=
{
x
/
x
is multiple of
3
}
C
=
{
x
/
x
is multiple of
4
}
Find
A
∩
B
∩
C
and represent it in a Venn diagram
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Solution
μ
=
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
}
A
=
{
2
,
4
,
6
,
8
,
10
,
12
}
B
=
{
3
,
6
,
9
,
12
}
C
=
{
4
,
8
,
12
}
A
∩
B
=
{
6
,
12
}
A
∩
C
=
{
4
,
8
,
12
}
B
∩
C
=
{
12
}
A
∩
B
∩
C
=
{
12
}
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Similar questions
Q.
Given
μ
{
x
/
x
is an integer
,
1
≤
x
≤
12
}
A
=
{
x
/
x
is multiple of
2
}
B
=
{
x
/
x
is multiple of
3
}
C
=
{
x
/
x
is multiple of
4
}
Find
A
∩
B
∩
C
and represent it in a venn diagram
Q.
Let
A
=
{
x
|
x
∈
N
,
x
is a multiple of 2
}
B
=
{
x
|
x
∈
N
,
x
is a multiple of 5
}
C
=
{
x
|
x
∈
N
,
x
is a multiple of 10
}
The set
(
A
∩
B
)
∩
C
is equal to:
Q.
4
x
3
+
4
x
2
−
x
−
1
is a multiple of
Q.
If
A
:
{
x
:
x
is a multiple of
3
}
and
B
=
{
x
:
x
is a multiple of
4
}
and
C
=
{
x
:
x
is a multiple of
12
}
, then which one of the following is a null set?
Q.
Let
A
=
{
x
:
x
is a multiple of
3
}
and
B
=
{
x
:
x
is a multiple of
5
}
then
A
∩
B
is given by
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