Find the number of 4-digit numbers (in base 10) having non-zero digits and which are divisible by 4 but not by 8.

Question

anonymous · Answer

First, think about what the last 2 digits have to be.

goformit100 · Answer

How to do it  @mary.rojas

anonymous · Answer

Last 2 digits have to be 12  28  36  44  52  68  76  84  92 or 98

anonymous · Answer

All of those are divisible by 4, but not 8 and none of them use zeros

mary.rojas · Answer

Check this out @goformit100 http://in.answers.yahoo.com/question/index?qid=20101209033049AAS1NPf

anonymous · Answer

oops. scratch 98 from that list. So there are 9 possibilities for the last digit.

anonymous · Answer

There are 9 possibilities for the first digit of the 4 digit number
9 possibilities for the 2nd number
And, as I've shown 9 possibilities for the last  2 numbers
9x9x9=729

goformit100 · Answer

Thank you :)