Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4, 6 and 7 without repetition. Total number of such numbers are

We know that a number is divisible by 3 only when the sum of the digits is divisible by 3. The given digits are 0, 1, 2, 3, 4, 5. 

1+2+3+4+5=15 it can be arranged in 5! ways
0+1+2+4+5=12 it can be arranged in4(4!)
Total number of ways =216