The number of four digited numbers formed by 2, 4, 5, 7, 8 divisible by 4 is

A number is divisible by 4 if last 2 places are filled with multiples of 4 consider 4 places.

Last 2 places can be filled using {24, 28, 48, 52, 72, 84} in 6ways.

Remaining 2 places can be filled by using remaining 3 digits in 3p₂ ways.

No of 4 digit number divisible by 4 using {2, 4, 5, 7, 8} $=6\times 3{\mathrm{p}}_2$

$=6\times 6=36$