If the number 1005X4 is divisible by 8, find the minimum value of x?a.2b.0c.4d.1

For a number to be divisible by 8, the last three digits of the number must be divisible by 8.

Here, the last three digits are 05X.

Let's check the options one by one:

a. If X=2, the last three digits become 052, which is not divisible by 8.

b. If X=0, the last three digits become 050, which is divisible by 8.

c. If X=4, the last three digits become 054, which is not divisible by 8.

d. If X=1, the last three digits become 051, which is not divisible by 8.

So, the minimum value of X for which 1005X4 is divisible by 8 is 0 (option b).