How many five digit numbers can be formed by using the digits 0,1,2,3,4,5 such that the number is divisible by 4?	Choose the correct answer.
A) 288  B) 173144  C) 144  D) 297  E) 2181
Explanation:   If a number has to be divisible by 4, the last two digit of that number should be divisible by 4.   So _ _ _ x y. Here xy should be a multiple of 4.   There are two cases:   Case 1: xy can be 04, 20 or 40   In this case the remaining 3 places can be filled in 4×3×2 = 24. So total 24×3 = 72 ways.   Case 2: xy can be 12, 24, 32, 52.   In this case, left most place cannot be 0. So left most place can be filled in 3 ways. Number of ways are 3×3×2 = 18. Total ways = 18×4 = 72.   Total ways = 144   Answer:144
<result>C</result>
How many five digit numbers can be formed by using the digits 0,1,2,3,4,5 such that the number is divisible by 4?