Which of the following is not true about 480249 ?

Options

A. It is divisible by 9
B. It is divisible by 11
C. It is a perfect square
D. If it is divided by 3 the quotient is perfect square

Answer

To determine which of the following statements about the number 480249 is not true, we will evaluate each option step by step.

### Given Options:
1. It is divisible by 9.
2. It is divisible by 11.
3. It is a perfect square.
4. If it is divided by 3, the quotient is a perfect square.

### Step 1: Check if 480249 is divisible by 9.
To check for divisibility by 9, we need to find the sum of the digits of the number and see if that sum is divisible by 9.

**Calculation:**
- Sum of digits: \( 4 + 8 + 0 + 2 + 4 + 9 = 27 \)

Since 27 is divisible by 9, **Option 1 is true**.

### Step 2: Check if 480249 is divisible by 11.
To check for divisibility by 11, we take the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions.

**Calculation:**
- Odd position digits: \( 4, 0, 9 \) (1st, 3rd, 5th)
- Even position digits: \( 8, 2, 4 \) (2nd, 4th, 6th)

Sum of odd position digits: \( 4 + 0 + 9 = 13 \)
Sum of even position digits: \( 8 + 2 + 4 = 14 \)

Now, find the difference:
\( |13 - 14| = 1 \)

Since 1 is not divisible by 11, **Option 2 is not true**.

### Step 3: Check if 480249 is a perfect square.
To check if a number is a perfect square, we can find its square root.

**Calculation:**
- Square root of 480249: \( \sqrt{480249} = 693 \)

Since 693 is an integer, **Option 3 is true**.

### Step 4: Check if the quotient of 480249 divided by 3 is a perfect square.
First, we divide 480249 by 3.

**Calculation:**
- \( 480249 \div 3 = 160083 \)

Now we check if 160083 is a perfect square by finding its square root.

**Calculation:**
- Square root of 160083: \( \sqrt{160083} \approx 400.103 \)

Since 400.103 is not an integer, **Option 4 is not true**.

### Conclusion:
The statement that is not true about 480249 is **Option 2: It is divisible by 11**.