Question : A playground is in the shape of a rectangle. A sum of Rs. 1000 was spent to make the ground usable at a rate of 25 paise per square metre. The breadth of the ground is 50 m. If the length of the ground is increased by 20 m, what will be the expenditure (in Rs.) at the same rate?

Option 1: 1250

Option 2: 1000

Option 3: 1500

Option 4: 2250

Question : The cost of levelling a circular field at 50 paise per square metre is Rs. 7,700. The cost (in Rs.) of putting up a fence all around it at Rs. 1.20 per meter is:

Option 1: Rs. 132 

Option 2: Rs. 264

Option 3: Rs. 528

Option 4: Rs. 1056

Question : The area of a rectangle is thrice that of a square. The length of the rectangle is $20\;\mathrm{cm}$ and the breadth of the rectangle is $\frac{3}{2}$ times that of the side of the square. The side of the square, (in cm) is:

Option 1: 10

Option 2: 20

Option 3: 30

Option 4: 60

Question : The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square (in cm²) is:

Option 1: $20$

Option 2: $10$

Option 3: $4\sqrt{5}$

Option 4: $10\sqrt{2}$

Question : The length, breadth, and height of a room are 10 m, 8 m, and 6 m, respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of 7.50 per m².

Option 1: Rs. 2220

Option 2: Rs. 1850

Option 3: Rs. 2150

Option 4: Rs. 2000

Question : The length and breadth of a rectangular piece of land are in a ratio of 5 : 3. The owner spent Rs. 6,000 to surround it from all sides at Rs. 7.50 per metre. The difference between its length and breadth is:

Option 1: 50 metres

Option 2: 100 metres

Option 3: 150 metres

Option 4: 250 metres