Assertion : The range of the first 6 multiples of 6 is 9.
Reason : Range = Maximum value - Minimum value

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not tlie correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Identify the first 6 multiples of 6
The first 6 multiples of 6 are:
1. 6 × 1 = 6
2. 6 × 2 = 12
3. 6 × 3 = 18
4. 6 × 4 = 24
5. 6 × 5 = 30
6. 6 × 6 = 36

So, the first 6 multiples of 6 are: **6, 12, 18, 24, 30, 36**.

### Step 2: Find the maximum and minimum values
- **Minimum value**: The smallest number in the list is **6**.
- **Maximum value**: The largest number in the list is **36**.

### Step 3: Calculate the range
The formula for range is:
\[ \text{Range} = \text{Maximum value} - \text{Minimum value} \]

Substituting the values we found:
\[ \text{Range} = 36 - 6 = 30 \]

### Conclusion
The range of the first 6 multiples of 6 is **30**, not 9.

### Step 4: Evaluate the assertion and reason
- **Assertion**: The range of the first 6 multiples of 6 is 9. (This is **false**)
- **Reason**: Range = Maximum value - Minimum value. (This is **true**)

Thus, the assertion is false, while the reason is true.