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

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

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

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

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

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

9. 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?

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. 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

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