Quantitative Reasoning Geometry Online Test 2

1. With the vertices of a ∆ABC as centers, three circles are described each touching the other two externally. If the sides of the triangle are 4,6 and 8 cm respectively, then the sum of the radii of the three circles equals

2. Of all the chords of a circle passing through a given point in it, the smallest is that which

3. The area of a field in the shape of a trapezium measures 1440 m. The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5:3, the length of the longer parallel side is?

4. In the figure given below, O is the center of the circle. If ∠OBC =37^° , the ∠BAC is equal to

5. Two isosceles triangles have equal vertical angles and their areas are in the ratio 9:16. The ratio of their corresponding heights is?

6. If the perimeter of an isosceles right triangle is (6+3√2)m, then the area of the triangle is?

7. If, in the following figure, PA=8 cm, PD=4 CM, CD=3 cm, then AB is equal to

8. Suppose it is 3 0'clock. After 20 minutes the angle between the smaller and bigger hands will  be

9. A 25 m long ladder is placed against a vertical wall inside a room such that the foot of the ladder is 7 m from the foot of the wall. If the top of the ladder slides 4 m down words, then the foot of the ladder will slide by

10. In a triangle ABC, the lengths of the sides AB, AC and BC are 3,5 and 6 cm respectively. If a point D on BC is drawn such that the line AD bisects the angle A internally, then what is the length of BD?

11. The radius of the circumcircle of an equilateral triangle of side 12 cm is?

12. If two diameters of a circle intersect each other at right angles, then the quadrilateral formed by joining there end points is a?