CAT4MBA

1)The volume of sphere are proportional to the cubes of their radii .two spheres of the same material weighs 3.6 kg and 2.7 kg and the radii of the smalller one is 2 cm.If the two were melted down and formed into a singel sphere,what would be its radius?
a)4cm   b) 4.3  cm   c) 3 cm   d) 2.6 cm

2) A square is inclined in a semicircle of radius 10 cm.what is the area of the inscribed square? (given that the sideof the square is along the diametre of the semicircle)
a) 70 cm^2   b)   50 cm ^2   c) 25 cm^2   d)  180 cm^2

3) ABCD is a parallelogram in which angle B =70.find the numbers of points X in the plane of the parallelogram such that it is equidistant from the vertices.
a) 0    b)   1    c)   2    d)  3.

4)There is a fan with the 3 blades at 120 to each other whose central circular disc has an area of 3p cm^2 and the blade is (20-root3) cm long. If the tips of the blades are joined so as to form an equlilateral  triangle ,what will be its area?

5) Two circles of an equal radii are drawn without any overlap,in a semicircle of radius 2 cm.if these are the largest possible circles that the semicircle can accomodate ,what is the radius of each of the circles?
a) 0.414cm  b) 0.828  c) 0.122    d) 0.586

6)The sides of a regular octahedron is extented to form a star .Find the measurement of the internal angles at each point of the star?
a)45 b)90   c) 135   d) 60

7) Two circles with centres C1 and C@ and their radii 6 cm and 8cm  cut each other at right angle.Find the lenght of the common chord?

a) 10 cm   b) 4.8 cm   c)  9.6 cm   d) 15 cm

8) Let ABCDEF be a right hexagon.What is the ratio of the area of the triangle ACE to the hexagon ABCDEF.
a) 1/3  b)1/2  c) 2/3  d) 5/6.

9) Let A be the area of a squre inscribed in a circle of radius "r" and let B be the area of the hexagon inscribed in the same circle.
Then B/A equals:

10) The ratio of the area of squre inscribed in a semicircle to that of the area of a squre inscribed in a circle of same radii: