Which of the given value is completely divisible by 12?

Options

A. 3470
B. 7236
C. 1426
D. 2427

Answer

To determine which of the given values is completely divisible by 12, we need to check each option against the divisibility rules for 12. A number is divisible by 12 if it is divisible by both 3 and 4.

### Step-by-step Solution:

1. **Identify the Options**: The options provided are 3470 and 7236. We will check each number to see if it is divisible by 12.

2. **Check Divisibility by 3**:
- For a number to be divisible by 3, the sum of its digits must be divisible by 3.
- **For 3470**:
- Sum of digits = 3 + 4 + 7 + 0 = 14
- 14 is not divisible by 3.
- **For 7236**:
- Sum of digits = 7 + 2 + 3 + 6 = 18
- 18 is divisible by 3.

3. **Check Divisibility by 4**:
- For a number to be divisible by 4, the last two digits of the number must be divisible by 4.
- **For 3470**:
- Last two digits = 70
- 70 is not divisible by 4 (70 ÷ 4 = 17.5).
- **For 7236**:
- Last two digits = 36
- 36 is divisible by 4 (36 ÷ 4 = 9).

4. **Conclusion**:
- Since 7236 is divisible by both 3 and 4, it is also divisible by 12.
- 3470 is not divisible by either 3 or 4.

Therefore, the value that is completely divisible by 12 is **7236**.