Discussion

If the number 1005x4 is divisible by 8, what is the smallest integer value x can take?

Answer: A

For a number to be divisible by 8, the number formed by its last three digits must be divisible by 8. The number is 5x4. We need to find the smallest digit x such that 5x4 is divisible by 8. Let's test values for x starting from 0. If x=0, the number is 504. \(504 \div 8 = 63\). It is divisible. Therefore, the smallest integer value for x is 0.