By using the numbers 0, 2, 3, 4 and 5 only once, how many five digit numbers can be made that are divisible by 4?
Choose the most appropriate option:
A) 20
B) 40
C) 1120
D) 60
E) 30
A number to be divisible by 4 must end with 04, 08, 12,16 ,20 ,24.....   So, there are the following cases possible:   235-04 --&gt; the first three digits can be arranged in 3=6 ways.   035-24 --&gt; the first three digits can be arranged in 3=6 ways.   045-32 --&gt; the first three digits can be arranged in 3=6 ways.   235-40 --&gt; the first three digits can be arranged in 3=6 ways.   034-52 --&gt; the first three digits can be arranged in 3=6 ways   Total = 6+6+6+6+6= 
<gadget id="calculator">6+6+6+6+6</gadget>
<output>30</output>
30.   Answer: 30.
<result>E</result>
By using the numbers 0, 2, 3, 4 and 5 only once, how many five digit numbers can be made that are divisible by 4?