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1.Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are 

(1) 20,24
(2) 15, 18 
(3) 10, 12  
(4) 5, 6 

2.The base of a right prism is a trapezium. The lengths of the parallel sides are 8 cm and 14 cm and the distance between the parallel sides is 8 cm. If the volume of the prism is 1056 cm3, then the height of the prism is 
(1) 44 cm 
(2) 16.5 cm 
(3) 12 cm 
(d) 10.56 cm 

3.The right angled sector of radius r cm is rolled up into a cone in such a way that the two binding raddi are joined together. Then the curved surface area of the cone is 
(1) pi.r^2 cm^2
(2) 4pi.r^2 cm^2 
(3) (pi.r^2)/4 cm^2
(4) 2pi.r^2 cm^2

4.The areas of curved surface of a right circular cylinder and a sphere are equal. If the raddi of the cylinder and the sphere be equal, then the ratio of their volumes will be 
(1) 2 : 3  
(2) 3 : 2 
(3) 3 : 4  
(4) 4 : 3  

5.If the four equal circles of radius 3 cm touch each other externally, then the area of the region bounded by the four circles is 
(1) 4(9-pi)sq.cm
(2) 9(4-pi)sq.cm
(3) 5(6-pi)sq.cm
(4) 6(5-pi)sq.cm

6.The adjacent sides of a parallelogram are 36 cm and 27 cm in length. If the distance between the shorter sides is 12 cm, then the distance between the longer sides is 
(1) 10 cm
(2) 12 cm 
(3) 16 cm  
(4) 9 cm 

7.The height of a solid right circular cylinder is 6 metres and three times the sum of the area of its two end faces is twice the area of its curved surface. The radius of its base, in metre, is 
(1) 4
(2) 2 
(3) 8
(4) 10 

8.Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then angle PAQ = 
(1) 45°
(2) 90°  
(3) 80°  
(4) 100° 

9.The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is 
(1) 12 cm  
(2) 9/2 cm 
(3) 4 cm  
(4) 9 cm  

10.ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other. If angle ABC = 72°, then the measure of the angle BCD is 
(1) 162°
(2) 18°  
(3) 108°  
(4) 72°  

ANSWER KEY:
1. (3) 10, 12
2. (3) 12 cm
3. (3) (pr^2)/4 cm^2
4. (2) 3 : 2
5. (2) 9(4-p)sq.cm
6. (4) 9 cm
7. (1) 4 
8. (1) 45°
9. (4) 9 cm

10. (4) 72° 



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