If abc4d is divisible by 4, then d cannot be

Key rule: A number is divisible by 4 exactly when its last two digits form a number divisible by 4.

Apply the rule to the last two digits 4d:

• If the last digit is 0, the last two digits are 40, and 40 is divisible by 4. So d = 0 is possible.

• If the last digit is 4, the last two digits are 44, and 44 is divisible by 4. So d = 4 is possible.

• If the last digit is 8, the last two digits are 48, and 48 is divisible by 4. So d = 8 is possible.

• If the last digit is 2, the last two digits are 42, and 42 is not divisible by 4. So d = 2 is not possible.

Conclusion: The digits that can appear as d are 0, 4, or 8. Therefore, 2 cannot be the last digit.