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UPSC NDA 2 2017 Mathematics Solved Paper
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© examsnet.com
Question : 7
Total: 120
If A = {x: x is a multiple of 2}, B= {x: x is a multiple of 5}and C= {x: x is a multiple of 10} then
A
∩
(
B
∩
C
)
is equal to
[NDA II 2017]
A
B
C
{x: x is a multiple of 100}
Validate
Solution:
A = {x: x is a multiple of 2} = { 2,4,6,8,10,12,14,......}
B= {x: x is a multiple of 5} = { 5,10,15,20,25,..........}
C= {x: x is a multiple of 10} = { 10,20,30,40,..........}Here
C
⊂
A
and
C
⊂
B
C
=
A
∩
B
=
A
∩
(
B
∩
C
)
=
A
∩
C
=
C
© examsnet.com
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