Which one numbers is closest to 195 which is divisible by 18 is :

Options

A. 180
B. 196
C. 198
D. 208

Answer

To find the number closest to 195 that is divisible by 18, we can follow these steps:

### Step 1: Determine the nearest multiples of 18
First, we need to find the multiples of 18 that are close to 195. We can do this by dividing 195 by 18.

\[ \text{Divide } 195 \text{ by } 18: \quad 195 \div 18 \approx 10.8333 \]

### Step 2: Identify the whole numbers
The result of the division gives us approximately 10.83. We can round this down to 10 and round it up to 11 to find the nearest whole numbers.

### Step 3: Calculate the multiples of 18
Now we calculate the multiples of 18 for both whole numbers:

- For 10:
\[ 10 \times 18 = 180 \]

- For 11:
\[ 11 \times 18 = 198 \]

### Step 4: Compare the results to 195
Now we have two multiples of 18: 180 and 198. We need to find which one is closer to 195.

- The difference between 195 and 180:
\[ 195 - 180 = 15 \]

- The difference between 195 and 198:
\[ 198 - 195 = 3 \]

### Step 5: Determine the closest number
Since 3 is less than 15, we conclude that 198 is closer to 195 than 180.

### Final Answer
Thus, the number closest to 195 that is divisible by 18 is **198**.

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