31)A flagpole 4 m tall casts a 6 m shadow. At the same time, a nearby building casts a shadow of 24 m. Then the height of the building is
32)In the figure below, PQ II BC. If AP = 3, PB = 4 and AQ = 4, then QC =
33)△ABC∼△DEF and their areas are 16 cm2 and 81 cm2 respectively. If BC = 4 cm, then EF =
34)In the figure below, DE II BC. If AD = x, AE = x+2, DB = x – 2 and CE = x – 1, then x =
35)The tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Then the length of the tangent is
36)A parallelogram circumscribing a circle is a
37)If the radius of a circle is 4 cm and the sector angle is 30°, then the area of the sector is
38)In the figure below, which of the following are tangents to the circle?
39)In the figure below, OP = 3 cm and OB = 5 cm. Then AB =
40)The radius and height of a right circular cone are 6 cm and 7 cm respectively. Then the volume of the cone is
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