Which of the following number is NOT divisible by 18 ?

Options

A. 54036
B. 5036
C. 34056
D. 65043

Answer

To determine which of the following numbers is NOT divisible by 18, we need to remember that a number is divisible by 18 if it is divisible by both 2 and 9.

Let's analyze the options step by step:

1. **Check divisibility by 2**: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
2. **Check divisibility by 9**: A number is divisible by 9 if the sum of its digits is divisible by 9.

Now, let’s apply these rules to each of the given numbers.

### Step 1: Check the first number (546)
- **Divisibility by 2**: The last digit is 6 (even), so 546 is divisible by 2.
- **Divisibility by 9**: Sum of digits = 5 + 4 + 6 = 15. Since 15 is not divisible by 9, 546 is NOT divisible by 18.

### Step 2: Check the second number (546 again)
- **Divisibility by 2**: The last digit is 6 (even), so 546 is divisible by 2.
- **Divisibility by 9**: Sum of digits = 5 + 4 + 6 = 15. Since 15 is not divisible by 9, 546 is NOT divisible by 18.

### Step 3: Check the third number (346)
- **Divisibility by 2**: The last digit is 6 (even), so 346 is divisible by 2.
- **Divisibility by 9**: Sum of digits = 3 + 4 + 6 = 13. Since 13 is not divisible by 9, 346 is NOT divisible by 18.

### Step 4: Check the fourth number (65043)
- **Divisibility by 2**: The last digit is 3 (odd), so 65043 is NOT divisible by 2.
- Since it is not divisible by 2, it cannot be divisible by 18.

### Conclusion:
The number that is NOT divisible by 18 is **65043**.