**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**

**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° **