Case Study
Mr Ranveer lives in Agra. He purchased a rectangular plot ABCD to build a house. He leaves a rectangular area ADEF for parking and two congruent semicircular areas to make lower beds, as shown in the figure.

Based on the above information, answer the following questions:

1. Area of the plot left for parking is:
   (a) 24 m²
   (b) 48 m²
   (c) 60 m²
   (d) 63 m²

2. Diameter of each semi-circle is:
   (a) 21 m
   (b) 10.5 m
   (c) 7 m
   (d) 3.5 m

3. Total area of the two semi-circular flower beds is :
   (a) 80.6 m²
   (b) 82.625 m²
   (c) 86.625 m²
   (d) 90.625 m²

4. Area of the plot BCEF is :
   (a) 441 m²
   (b) 400 m²
   (c) 380 m²
   (d) 350 m²

5. Total length of the two semi-circular arcs is :
   (a) 33 m
   (b) 35 m
   (c) 16.5 m
   (d) 54 m

Case Study
Some mementos are ordered by a school for awarding their students on the occasion of Annual Day. Each memento is designed as shown in the figure, where its base ABCD is silver plated from the front side at the rate of ₹50 per cm².

Based on the above information, answer the following questions:

1. Area of △AOB is :
   (a) 50 cm²
   (b) 52 cm²
   (c) 56 cm²
   (d) 60 cm²

2. Length of the arc CD is :
   (a) 44 cm
   (b) 22 cm
   (c) 15 cm
   (d) 11 cm

3. Area of quadrant OCDO is :
   (a) 154 cm²
   (b) 77 cm²
   (c) 38.5 cm²
   (d) 30.5 cm²

4. Area of major sector formed in the figure is :
   (a) 154 cm²
   (b) 77 cm²
   (c) 100.5 cm²
   (d) 115.5 cm²

5. Total cost of silver plating is :
   (a) ₹575
   (b) ₹500
   (c) ₹450
   (d) ₹400

Assertion (A): The diameter of a cycle wheel is 21 cm. It will make 2000 revolutions to cover a distance of 1.32 km.

Reason (R): Distance covered by a wheel of radius r in one revolution is given by 2πr.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

The number of rounds that a wheel of diameter $\dfrac{7}{11}$ m will make in going 4 km is :

1. 1600

2. 1800

3. 1900

4. 2000