The value of `[ 9.5 div (0.6 xx 0.75 +0.8 div 16) +0.75 ] div (0.03 div 0.6"of" 0.01)` lies between:

Options

A. 2 and 3
B. 1 and 2
C. 0 and 1
D. 3 and 4

Answer

To solve the expression given in the question, we will follow the order of operations (BODMAS/BIDMAS rules). Let's break it down step by step.

### Step 1: Solve the innermost expressions
The expression is:
\[ \frac{9.5}{(0.6 \times 0.75 + \frac{0.8}{16}) + 0.75} \div \left( \frac{0.03}{0.6 \text{ of } 0.01} \right) \]

First, we need to calculate \(0.6 \times 0.75\) and \(\frac{0.8}{16}\).

1. Calculate \(0.6 \times 0.75\):
\[ 0.6 \times 0.75 = 0.45 \]

2. Calculate \(\frac{0.8}{16}\):
\[ \frac{0.8}{16} = 0.05 \]

Now, substitute these values back into the expression:
\[ \frac{9.5}{(0.45 + 0.05) + 0.75} \div \left( \frac{0.03}{0.6 \times 0.01} \right) \]

### Step 2: Simplify the expression inside the brackets
Now, simplify the bracket:
\[ 0.45 + 0.05 = 0.50 \]
So, the expression now looks like:
\[ \frac{9.5}{(0.50 + 0.75)} \div \left( \frac{0.03}{0.006} \right) \]

### Step 3: Calculate the addition in the denominator
Now, calculate \(0.50 + 0.75\):
\[ 0.50 + 0.75 = 1.25 \]

So, the expression now is:
\[ \frac{9.5}{1.25} \div \left( \frac{0.03}{0.006} \right) \]

### Step 4: Calculate the division in the denominator
Next, calculate \(\frac{0.03}{0.006}\):
\[ \frac{0.03}{0.006} = 5 \]

### Step 5: Final calculation
Now substitute this back into the expression:
\[ \frac{9.5}{1.25} \div 5 \]

First, calculate \(\frac{9.5}{1.25}\):
\[ \frac{9.5}{1.25} = 7.6 \]

Now, divide by 5:
\[ \frac{7.6}{5} = 1.52 \]

### Conclusion
The value of the expression is \(1.52\).

Now, we need to determine the range in which this value lies. The options given were:
- 2 and 3
- 1 and 2
- 0 and 1
- 3 and 4

Since \(1.52\) lies between \(1\) and \(2\), the correct option is **1 and 2**.