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1.Set Theory
easy
Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$
$\{ 1,2,3,4,5,6,7,8\} $
Option A
Option B
Option C
Option D
Solution
$A \subset\{1,2,3,4,5,6,7,8\}$
$B \subset\{1.2,3,4,5,6,7,8\}$
Howerer, $C \not\subset \{ 1,2,3,4,5,6,7,8\} $
There fore, the set $\{1,2,3,4,5,6,7,8\}$ cannot be the universal set for the sets $A , B$ and $C.$
Standard 11
Mathematics