For every question, four probable answers bear in letters (A), (B), (C) and (D) are given. Only one out of these is correct. You have to choose the correct answer.
HCF and LCM of two numbers are 3 and 120 respectively. If one of the number is 90 then the other number is

Options

A. 4
B. 5
C. 6
D. 8

Answer

To solve the problem step by step, we will use the relationship between the HCF, LCM, and the two numbers.

### Step-by-Step Solution:

1. **Understand the relationship**: The product of two numbers is equal to the product of their HCF and LCM. This can be expressed as:
\[ \text{Number 1} \times \text{Number 2} = \text{HCF} \times \text{LCM} \]

2. **Identify the given values**:
- HCF = 3
- LCM = 120
- One number (let's call it Number 1) = 90
- Let the other number (Number 2) be \( p \).

3. **Set up the equation**:
Using the relationship from step 1, we can write:
\[ 90 \times p = 3 \times 120 \]

4. **Calculate the right-hand side**:
First, calculate \( 3 \times 120 \):
\[ 3 \times 120 = 360 \]
So the equation now looks like:
\[ 90 \times p = 360 \]

5. **Solve for \( p \)**:
To find \( p \), divide both sides of the equation by 90:
\[ p = \frac{360}{90} \]

6. **Calculate \( p \)**:
Now, perform the division:
\[ p = 4 \]

7. **Conclusion**:
The other number is \( 4 \).

### Final Answer:
The other number is **4**.