The following questions are accompanied by two statements I and II. You have to determine which statements(s) is/are sufficient/ necessary to answer the questions.
What will be cost of painting the room
I. Sum of breadth and length of room is 28 meter and cost of painting per meter square is 24 Rs.
II. Difference between area of Celling and area of room is 448 sq meter

Options

A. Only statement I is sufficient to give answer of the question
B. Only statement II is Sufficient to give answer of the question
C. Either statement I or II is sufficient to give answer of question
D. Statements I & II together are sufficient to give answer of the question

Answer

To determine the cost of painting the room, we need to analyze the information provided in both statements. Let's break down the solution step by step.

### Step 1: Analyze Statement I
Statement I states that the sum of the breadth and length of the room is 28 meters and the cost of painting per square meter is 24 Rs.

Let:
- Length of the room = L
- Breadth of the room = B

From Statement I:
\[ L + B = 28 \text{ meters} \]
Cost of painting per square meter = 24 Rs.

To find the cost of painting, we need the area of the walls and the ceiling. The area of the ceiling is given by:
\[ \text{Area of ceiling} = L \times B \]

The area of the walls can be calculated if we know the height of the room, which is not provided in this statement.

**Conclusion for Step 1**: Statement I alone is not sufficient to determine the cost of painting because we do not have the height of the room.

### Step 2: Analyze Statement II
Statement II states that the difference between the area of the ceiling and the area of the room is 448 square meters.

The area of the room (which is the floor area) is also given by:
\[ \text{Area of room} = L \times B \]

From Statement II, we can express the relationship:
\[ \text{Area of ceiling} - \text{Area of room} = 448 \]
This implies:
\[ (L \times B) - (L \times B) = 448 \]
This statement is not clear without knowing the height or additional dimensions.

**Conclusion for Step 2**: Statement II alone is also not sufficient to determine the cost of painting.

### Step 3: Combine Statements I and II
Now, let's combine both statements.

From Statement I, we know:
\[ L + B = 28 \]

From Statement II, we have:
\[ \text{Area of ceiling} - \text{Area of room} = 448 \]

If we denote the height of the room as H, the area of the ceiling can be expressed as:
\[ \text{Area of ceiling} = L \times B \]

Thus, we can set up the equation:
\[ (L \times B) - (L \times B) = 448 \]

This means we need to find the height of the room to calculate the area of the walls. The area of the walls can be calculated as:
\[ \text{Area of walls} = 2H(L + B) \]

Substituting \( L + B = 28 \):
\[ \text{Area of walls} = 2H(28) = 56H \]

Now, the total area to be painted will be:
\[ \text{Total area} = \text{Area of ceiling} + \text{Area of walls} \]

Finally, the cost of painting can be calculated as:
\[ \text{Cost} = \text{Total area} \times \text{Cost per square meter} \]

Since we have both the dimensions and the cost per square meter, we can find the total cost of painting.

**Conclusion for Step 3**: Both statements together provide enough information to calculate the cost of painting.

### Final Answer
Both statements I and II together are necessary to answer the question regarding the cost of painting the room.