Question

Set P is the set of all positive multiples of $4$ less than $30$. Set Q is the set of all positive multiples of $6$ less than $30$. Calculate the count of numbers in the intersection of $P$ and $Q$.

• A. $0$
• B. $1$
• C. $2$
• D. $3$
• E. $4$

Answer 1

The correct option is C $2$

Positive multiples of $4$ less than $30$ are $P=\{4,8,12,16,20,24,28\}$
Positive multiples of $6$ less than $30$ are $Q=\{6,12,18,24\}$
Intersection of $P$ and $Q$ will be
$P\cap Q=\{12,24\}$
Count of numbers is $2$ in intersection of $P$ and $Q$.