Question

M represents the children in a class who have no brothers and 8 represents the children who have no sisters. $+$ denotes union, $\ast$ denotes intersection, and ${(}^{\prime })$ denotes complement. The set of children who have no siblings is

• A. $S^{\prime }+M^{\prime }$
• B. $(S\ast M{)}^{\prime }$
• C. $(S+M{)}^{\prime }$
• D. $S\ast M$

Answer 1

The correct option is C $(S+M{)}^{\prime }$

Solution

As per De Morgan's Law,

$\acute{(A\cup B)}=\acute{A}\cap \acute{B}$.

Correct answer is C, that is Set of children having no children.