The number which when divided by 33 is perfectly divisible and closer to 1000 is :

Options

A. 990
B. 999
C. 1023
D. can't be determined

Answer

To find the number that is perfectly divisible by 33 and closest to 1000, we can follow these steps:

### Step 1: Identify the closest multiples of 33 around 1000
To find the multiples of 33 that are close to 1000, we can divide 1000 by 33.

\[ 1000 \div 33 \approx 30.303 \]

### Step 2: Calculate the nearest whole number
The nearest whole number to 30.303 is 30. Therefore, we can find the multiples of 33 by multiplying 33 by 30 and 31.

\[ 30 \times 33 = 990 \]
\[ 31 \times 33 = 1023 \]

### Step 3: Compare the two results with 1000
Now we have two numbers: 990 and 1023. We need to determine which of these is closer to 1000.

- The difference between 1000 and 990 is:
\[ 1000 - 990 = 10 \]

- The difference between 1000 and 1023 is:
\[ 1023 - 1000 = 23 \]

### Step 4: Determine which number is closer
Since 10 (the difference for 990) is less than 23 (the difference for 1023), 990 is closer to 1000.

### Conclusion
The number which when divided by 33 is perfectly divisible and closer to 1000 is **990**.

---