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1. A quadrilateral ABCD circumscribes a circle and AB = 6 cm, CD = 5 cm and AD = 7 cm. The length of the sides BC is

6 cm

4 cm

5 cm

3 cm

2. In Δ ABC, the internal bisectors of ∠ABC and ∠ACB meet at I and ∠BAC = 50°. The measure of ∠BIC is

130°

105°

115°

125°

3. In Δ ABC, D and E are the points of sides AB and BC respectively such that DE || AC and AD : D B = 3 : 2 . The ratio of area of trapezium ACED to that of Δ BED is

21: 4

4 : 15

15 : 4

4 : 21

4. The perimeter of an isosceles triangle is 544 cm and each of the sides is 5/6 times the base. What is the area (in cm^{2}) of the triangle ?

13872

38172

18372

31872

5. A metallic sphere of radius 10.5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm. The number of cones thus formed is

126

140

132

112