What is not true about 480249 ?

Options

A. It is divisible by 9
B. It is divisible by 4
C. It is divisible by 3
D. It is divisible by 11

Answer

To determine what is not true about the number 480249, we will check its divisibility by 9, 4, 3, and 11 using the respective divisibility rules.

### Step-by-Step Solution:

1. **Check Divisibility by 9**:
- The rule for divisibility by 9 states that a number is divisible by 9 if the sum of its digits is divisible by 9.
- Sum of the digits of 480249:
\[ 4 + 8 + 0 + 2 + 4 + 9 = 27 \]
- Since 27 is divisible by 9, **480249 is divisible by 9**.

2. **Check Divisibility by 3**:
- The rule for divisibility by 3 states that a number is divisible by 3 if the sum of its digits is divisible by 3.
- We already calculated the sum of the digits: 27.
- Since 27 is also divisible by 3, **480249 is divisible by 3**.

3. **Check Divisibility by 11**:
- The rule for divisibility by 11 states that a number is divisible by 11 if the difference between the sum of the digits at odd positions and the sum of the digits at even positions is either 0 or a multiple of 11.
- For 480249, the positions are:
- Odd positions (1st, 3rd, 5th): 4 (1st), 0 (3rd), 4 (5th) → Sum = 4 + 0 + 4 = 8
- Even positions (2nd, 4th, 6th): 8 (2nd), 2 (4th), 9 (6th) → Sum = 8 + 2 + 9 = 19
- Difference:
\[ 19 - 8 = 11 \]
- Since 11 is a multiple of 11, **480249 is divisible by 11**.

4. **Check Divisibility by 4**:
- The rule for divisibility by 4 states that a number is divisible by 4 if the number formed by its last two digits is divisible by 4.
- The last two digits of 480249 are 49.
- Check if 49 is divisible by 4:
\[ 49 \div 4 = 12.25 \quad (\text{not an integer}) \]
- Since 49 is not divisible by 4, **480249 is not divisible by 4**.

### Conclusion:
The statement that is **not true** about 480249 is that it is divisible by 4.