The number of numbers of four different digits that can be formed 

from the digits of the number 12356 such that the numbers are 

divisible by 4, is

A number is divisible by 4, if the number formed by the last two digits is divisible by 4. A Four digit number divisible by 4 formed with the digits, 1, 2, 3, 5, 6 can have last two digits as follows:

$\begin{array}{ccc}\times & \times & 12\\ \times & \times & 16\\ \times & \times & 32\\ \times & \times & 36\\ \times & \times & 52\\ \times & \times & 56\end{array}$

Corresponding to each of these ways first two places can be

filled  in ${ }^3{C}_2\times 2!$ ways.

Hence, required number of numbers ${=}^3{C}_2\times 2!\times 6=36.$