The number 897159*4 is divisible by 4. What is the sum of all possible values of *?
Answer: C
For a number to be divisible by 4, the number formed by its last two digits must be divisible by 4. The last two digits form the number '*4'.
We need to find the values of * such that '*4' is divisible by 4. Let's check single digits for *:
04 is divisible by 4 (so * can be 0).
14 is not divisible by 4.
24 is divisible by 4 (so * can be 2).
34 is not divisible by 4.
44 is divisible by 4 (so * can be 4).
54 is not divisible by 4.
64 is divisible by 4 (so * can be 6).
74 is not divisible by 4.
84 is divisible by 4 (so * can be 8).
The possible values for * are 0, 2, 4, 6, 8. The sum of these values is \(0+2+4+6+8 = 20\).