By diving 14528 by a certain , Suresh gets 83 as quotient and 3 as remainder. What is the divisor ?
A. 165
B. 185
C. 195
D. 175

Options

A. D
B. B
C. A
D. C

Answer

To solve the problem, we need to find the divisor when Suresh divides 14528 and gets a quotient of 83 and a remainder of 3. We can use the formula for division which states:

\[ \text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} \]

### Step-by-Step Solution:

1. **Identify the known values:**
- Dividend (D) = 14528
- Quotient (Q) = 83
- Remainder (R) = 3

2. **Set up the equation using the division formula:**
\[ 14528 = (\text{Divisor} \times 83) + 3 \]

3. **Rearrange the equation to isolate the divisor:**
\[ 14528 - 3 = \text{Divisor} \times 83 \]
\[ 14525 = \text{Divisor} \times 83 \]

4. **Now, solve for the divisor:**
\[ \text{Divisor} = \frac{14525}{83} \]

5. **Perform the division:**
- First, calculate how many times 83 goes into 14525.
- 83 goes into 14525 approximately 175 times (since \( 83 \times 175 = 14525 \)).

6. **Conclusion:**
\[ \text{Divisor} = 175 \]

Thus, the divisor is **175**.