HCF of two numbers is 19 and their LCM is 665. If one of the number is 95, find the other.
A 19
B. 133
C. 190
D. 77

Options

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

Answer

To find the other number when the HCF (Highest Common Factor) and LCM (Least Common Multiple) of two numbers are given, we can use the relationship:

\[ \text{HCF} \times \text{LCM} = \text{Number 1} \times \text{Number 2} \]

Given:
- HCF = 19
- LCM = 665
- One of the numbers (let's call it Number 1) = 95

Let’s denote the other number as Number 2. We can substitute the known values into the formula:

1. **Using the formula:**
\[ 19 \times 665 = 95 \times \text{Number 2} \]

2. **Calculating the left side:**
\[ 19 \times 665 = 12635 \]

3. **Setting up the equation:**
\[ 12635 = 95 \times \text{Number 2} \]

4. **Solving for Number 2:**
\[ \text{Number 2} = \frac{12635}{95} \]

5. **Performing the division:**
\[ \text{Number 2} = 133 \]

Thus, the other number is **133**.

### Final Answer:
The other number is **B. 133**.