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11). The ratio of two unequal sides of a rectangle is 1:2. If its perimeter is 24, then length of a dlagonal is
 A). $$\Large \frac{2}{\sqrt{5}} cm$$ B). $$\Large \frac{4}{\sqrt{5}} cm$$ C). $$\Large 2\sqrt{5} cm$$ D). $$\Large 4\sqrt{5} cm$$
12). ABCD is a parallelogram of area S. E and F are the middle points of the sides AD and BC respectively. If G is any point on the line EF, then area of $$\Large \triangle AGB$$ is equal to
 A). $$\Large \frac{S}{2}$$ B). $$\Large \frac{S}{3}$$ C). $$\Large \frac{S}{4}$$ D). $$\Large \frac{3S}{4}$$
13). A rectangular lawn is 80 metres long and 60 metres wide. The time taken by a man to walk along its diagonal at the speed of 18 km. per hour is
 A). 25 sec B). 20 sec C). 18 sec D). 10 sec
14). If $$\Large \triangle ABC$$ is an equilateral triangle of area $$\Large 36\sqrt{3} cm^{2}$$, then area of the inscribed circle is
 A). $$\Large 48 \pi cm^{2}$$ B). $$\Large 36 \pi cm^{2}$$ C). $$\Large 24 \pi cm^{2}$$ D). $$\Large 12 \pi cm^{2}$$
15). A ladder 2.0m long is placed in a street so as to reach a window 1.6 m high and on turning the ladder to the other side of a street, it reaches a point 1.2 m high. The width of the street is
 A). 2.8 m B). 2.4 m C). 2.0 m D). 1.6 m

16). Area of the parallelogram given below is
 A). 40 sq. cm B). 20 sq. cm C). 32 sq. cm D). 64 sq. cm
17). If three solid bodies; a sphere, right circular cylinder and a right circular cone are of equal radius and equal surface area, then their heights are in the ratio
 A). $$\Large 2 : 1 : 2\sqrt{2}$$ B). $$\Large \sqrt{2} : 1 : 2$$ C). $$\Large 2 : 1 : 3\sqrt{2}$$ D). $$\Large 6\sqrt{2} : 3\sqrt{3} : 4$$
18). A square and an equilateral triangle are inscribed in a circle. If a and b denote lengths of their sides, then
 A). $$\Large a^{2}=\frac{b^{2}}{2}$$ B). $$\Large \frac{a^{2}}{2}=b^{2}$$ C). $$\Large 3b^{2}=2a^{2}$$ D). $$\Large 3a^{2}=2b^{2}$$
19). The slant height of a right circular cone is 10 cm and its height is 8 cm. It is cut by a plane parallel to its base passing through the midpoint of the height. Ratio of the volume of the cone to that of the frustum of the cone cut is
 A). 2 : 1 B). 8 : 7 C). 4 : 3 D). 3 : 2
20). A solid sphere of radius r is sliced by the planes passing through its centre and perpendicular to each other. The total surface area of each of the pieces so formed is
 A). $$\Large \frac{2}{3} \pi r^{2}$$ B). $$\Large 2 \pi r^{2}$$ C). $$\Large \frac{4}{3} \pi r^{2}$$ D). $$\Large \pi r^{2}$$
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