Question

If P = {factors of 36} and Q = {factors of 48} ;

find : If $P\cap Q=K$, and sum of all elements of $K$ is $s$, then $\frac{s}{4}$ is

Answer 1

Factors of $36$ are $1,2,3,4,6,9,12,18,36$.
Factors of $48$ are $1,2,3,4,6,8,12,16,24,48$.
So, $P$ $=$ { $1,2,3,4,6,9,12,18,36$ }
And $Q$ $=$ { $1,2,3,4,6,8,12,16,24,48$ }
Intersection of two sets has the elements common in both the sets.
So, $P\cap Q=$ { $1,2,3,4,6,12$}

$s=28$

$\frac{s}{4}=\frac{28}{4}=7$