A,B,C and D are four sets such that A\capB=C\capD=\ϕ.Consider the following : 1. A\cupC and B\cupD are always disjoint. 2. A\capC and B\capD are always disjoint.which of the above statements is/are correct? [NDA II 2015]

UPSC NDA II 2015 Mathematics Solved Paper

Question : 12 of 120

Marks: +1, -0

A,B,C and D are four sets such that A∩B=C∩D=ϕ.Consider the following :
1. A∪C and B∪D are always disjoint.
2. A∩C and B∩D are always disjoint.which of the above statements is/are correct?

[NDA II 2015]

1 only
2 only
both 1 and 2
Neither 1 nor 2

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