If `49 xx 17=833`, then the value of `0.0833 div 4.9` is: Options are (a) `0.17` (b) `0.0017` (c) `1.7` (d) `0.017` .

Options

A. `0.17`
B. `0.0017`
C. `1.7`
D. `0.017`

Answer

To solve the problem, we need to find the value of \(0.0833 \div 4.9\). We can use the relationship given in the question, which states that \(49 \times 17 = 833\).

### Step-by-Step Solution:

1. **Understand the given equation**: We know that \(49 \times 17 = 833\). This means that \(833\) can be expressed as \(49 \times 17\).

2. **Express the division**: We need to find \(0.0833 \div 4.9\). To make calculations easier, we can eliminate the decimal by multiplying both the numerator and denominator by \(10,000\) (since \(0.0833\) has four decimal places).

\[ 0.0833 \div 4.9 = \frac{0.0833 \times 10,000}{4.9 \times 10,000} = \frac{833}{49,000} \]

3. **Rewrite the division**: We can rewrite the division as follows:

\[ 0.0833 \div 4.9 = \frac{833}{49} \div 10,000 \]

4. **Substitute the known value**: From the given equation, we know that \(\frac{833}{49} = 17\). Therefore, we can substitute \(17\) into our equation:

\[ 0.0833 \div 4.9 = 17 \div 10,000 \]

5. **Calculate the final result**: Now, we perform the division:

\[ 17 \div 10,000 = 0.0017 \]

### Conclusion:
Thus, the value of \(0.0833 \div 4.9\) is \(0.0017\).

### Final Answer:
The correct option is (b) \(0.0017\).