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UPSC NDA I 2011 Mathematics Paper
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© examsnet.com
Question : 24
Total: 120
If
A
=
{
1
,
2
,
5
,
6
}
and
B
=
{
1
,
2
,
3
}
, then what is
(
A
×
B
)
∩
(
B
×
A
)
equal to?
{
(
1
,
1
)
,
(
2
,
1
)
,
(
6
,
1
)
,
(
3
,
2
)
}
{
(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
1
)
,
(
2
,
2
)
}
{
(
1
,
1
)
,
(
2
,
2
)
}
{
(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
5
)
,
(
2
,
6
)
}
Validate
Solution:
A
=
{
1
,
2
,
5
,
6
}
and
B
=
{
1
,
2
,
3
}
∴
A
×
B
=
{
(
1
,
1
)
(
1
,
2
)
(
1
,
3
)
(
2
,
1
)
(
2
,
2
)
(
2
,
3
)
(
5
,
1
)
(
5
,
2
)
(
5
,
3
)
(
6
,
1
)
(
6
,
2
)
(
6
,
3
)
}
Again
B
×
A
=
{
(
1
,
1
)
(
1
,
2
)
(
1
,
5
)
(
1
,
6
)
(
2
,
1
)
(
2
,
2
)
(
2
,
5
)
(
2
,
6
)
(
3
,
1
)
(
3
,
2
)
(
3
,
5
)
(
3
,
6
)
}
∴
(
A
×
B
)
∩
(
B
×
A
)
=
{
(
1
,
1
)
(
1
,
2
)
(
2
,
1
)
(
2
,
2
)
}
© examsnet.com
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