Q1. In a parallelogram ABCD, AB = 24 cm and AD = 16 cm. Distance between Sides AB and DC is 10 cm. What is the distance between sides AD and BC?
(a) 16 cm
(b) 18 cm
(c) 15 cm
(d) 26 cm
Q2. Two small circular parks of diameters 16 m, 12 m are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park occupies the same space as the two small parks?
Q3. A roller 150 cm long has diameter 70 cm. To level a playground, it takes 750 complete revolutions. The cost of leveling the playground at the rate of Rs. 2 per is
(a) Rs. 5000
(b) Rs. 2950
(c) Rs. 4500
(d) Rs. 4950
Q4. The area of a parallelogram ABCD is equal to that right-angled isosceles triangle whose hypotenuse is l cm. If O is a point inside the parallelogram ABCD then sum of areas of is.
Q5. In the given figure, area of isosceles triangle ABE is 72 cm2 and BE = AB and AB = 2 AD, AE||DC, then what is the area (in cm2) of the trapezium ABCD?
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Q6. The perimeter of base of a right circular cone is 132 cm. If the height of the cone is 72 cm, then what is the total surface area (in cm2) of the cone?
Q7. A solid metallic sphere of radius 14 cm is melted and recast into a cone with diameter of the base as 14 cm. What is the height (in cm) of the cone?
Q8. The radius of a wheel is 21 cm what is the distance (in cm) traveled by the wheel in 10 revolutions?
Q9. Three circles of radius 21 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles?
(a) 441√3 – 693
(b) 882√3 – 693
(c) 882√3 – 462
(d) 441√3 – 462
Q10. If the perimeter of a square is 80 cm, then what is the diagonal of the square (in cm)?
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