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UPSC NDA II 2015 Mathematics Solved Paper
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© examsnet.com
Question : 1
Total: 120
Let X be the set of all persons living in Delhi.The persons a and b i X are said to be related if the difference in their ages is at most 5 years.The relation is
[NDA II 2015]
an equivalence relation
reflexive and transitive but not symmetric
symmetric and transitive but not reflexive
reflexive and symmetric but not transitive
Validate
Solution:
a
∼
b
≤
5
Let
b
∼
c
≤
5
so
a
∼
c
≤
10
as
(
a
∼
b
)
∈
R
and
(
b
∼
c
)
∈
R
but
(
a
∼
c
)
∉
R
So it is not a transitive relation.
By considering all the options, we come to the conclusion that only option (d) is correct.
© examsnet.com
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