Which of the following number is divisible by 18?

Options

A. 444444
B. 555555
C. 666660
D. 666666

Answer

To determine which of the given numbers is divisible by 18, we need to follow these steps:

### Step-by-Step Solution:

1. **Understand the Divisibility Rule for 18**:
A number is divisible by 18 if it is divisible by both 2 and 9.

2. **Check Divisibility by 2**:
A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).

3. **Check Divisibility by 9**:
A number is divisible by 9 if the sum of its digits is divisible by 9.

4. **Evaluate Each Number**:
- **Number 1: 444444**
- Check last digit: 4 (even) → Divisible by 2.
- Sum of digits: 4 + 4 + 4 + 4 + 4 + 4 = 24 → 24 ÷ 9 = 2.67 (not divisible by 9).
- Conclusion: Not divisible by 18.

- **Number 2: 555555**
- Check last digit: 5 (odd) → Not divisible by 2.
- Conclusion: Not divisible by 18.

- **Number 3: 666660**
- Check last digit: 0 (even) → Divisible by 2.
- Sum of digits: 6 + 6 + 6 + 6 + 6 + 0 = 30 → 30 ÷ 9 = 3.33 (not divisible by 9).
- Conclusion: Not divisible by 18.

- **Number 4: 6666666**
- Check last digit: 6 (even) → Divisible by 2.
- Sum of digits: 6 + 6 + 6 + 6 + 6 + 6 + 6 = 42 → 42 ÷ 9 = 4.67 (not divisible by 9).
- Conclusion: Not divisible by 18.

5. **Final Conclusion**:
- After evaluating all the numbers, none of them are divisible by 18.