CAT4MBA

1) What is the area of triangle  in which two of its medians 9 cm and 12 cm long intersects at right angle.
a) 72 cm    b) 60 cm    c) 56 cm  d) 48 cm

2)If one leg of an isosceles right angled triangle is increased by 6 cm and other decreased by 4 cm,area decreased by 24 cm^2.Find the lenght of the leg of original triangle.
a) 36 cm    b) 30 cm  c) 24 cm   d) NOT

3) ABCDE is a parallelogram in which angle D=120 .The bisector of angle D bisects the side AB.If the lenght of the bisector is 5 cm ,then what is the perimeter of the parallelogram.
a) 30 cm   b) 25 cm  c) 40 cm   d) 15 cm

4)Four horses are tethered to the four corners of a square plot of side 14 m ,so that the adjacent horses can just reach one another.There is a small circular pond of area 20m^2 at the centre .Find the ungrazed area.
a) 22 m^2  b) 42 m^2   c) 84 m^2 d) 168 m^2.

5)Euclid has a triangle in mind. Its longest side =20 units and the another of its side=10 units.Its area =80 unit^2.What is the exact length of its 3rd side?

6) AB is the hypotenus in a right angled triangle ABC.N is the point inside the triangle which divides the triangle in three equal parts(Triangle ABN,CAN,BCN) .What is the distance between the circumcentre of this triangle from the point N?
a)AB/4   b)AB/6  c) AB/3   d)AB/8

7)The angles of a triangle is in the ratio 4:1:1.then the ratio of the largest side to the perimeter is?

8) Three identical right angled cone with radius r are placed on their  base so that each is touching the other two .The radius of the circle drawn their vertices is -
a) Smaller than r.
b) Equal to r.
c)Greater than r.
d) Depends on height of the cone.