The ratio of milk and water in mixtures of four containers are 5 :3, 2:1, 3:2 and 7: 4 respectively. In which container is the quantity of milk, relative to water, minimum?

Options

A. First
B. Second
C. Third
D. Fourth

Answer

To solve the problem, we will analyze the ratios of milk to water in each container and determine the quantity of milk relative to water for each container.

### Step-by-Step Solution:

1. **Identify Ratios**:
The ratios of milk to water in the four containers are:
- Container 1: 5 : 3
- Container 2: 2 : 1
- Container 3: 3 : 2
- Container 4: 7 : 4

2. **Convert Ratios to Milk per Unit of Water**:
We will convert each ratio into a form that shows how much milk there is for 1 unit of water.

- **Container 1**:
\[ \text{Milk} = 5, \quad \text{Water} = 3 \quad \Rightarrow \quad \frac{\text{Milk}}{\text{Water}} = \frac{5}{3} \approx 1.67 \]
- **Container 2**:
\[ \text{Milk} = 2, \quad \text{Water} = 1 \quad \Rightarrow \quad \frac{\text{Milk}}{\text{Water}} = \frac{2}{1} = 2 \]
- **Container 3**:
\[ \text{Milk} = 3, \quad \text{Water} = 2 \quad \Rightarrow \quad \frac{\text{Milk}}{\text{Water}} = \frac{3}{2} = 1.5 \]
- **Container 4**:
\[ \text{Milk} = 7, \quad \text{Water} = 4 \quad \Rightarrow \quad \frac{\text{Milk}}{\text{Water}} = \frac{7}{4} = 1.75 \]

3. **Compare the Values**:
Now we will compare the quantities of milk relative to water for each container:
- Container 1: 1.67
- Container 2: 2
- Container 3: 1.5
- Container 4: 1.75

4. **Determine the Minimum**:
The minimum quantity of milk relative to water is found in Container 3, which has a value of 1.5.

### Conclusion:
The container with the minimum quantity of milk relative to water is **Container 3**.

---