CAT4MBA

Q1. In the given figure angle B is right angle. AD : BD = 3 : 2 and CE : BE = 5 : 2 and AF : FC = 1 : 1
What is the area of the triangle ABC, if the area of triangle BDE is 20 cm ?

a. 40
b. 35
c. 52.5
d. None of the above

Q2. Suppose ABCD is a cyclic quadrilateral within a circle of radius r. The bisector of the angle A cuts the circle at point P and the bisector of angle C cuts the circle at point Q. Then,
a.    AP = 2r
b.    PQ = 2r
c.    BQ = DP
d.    PQ = AP

Q3.  What is the difference between the areas of the largest square that can be inscribed in a regular octagon and the smallest square that can be inscribed in the same octagon of the side 1 cm? (Cos 22.5degree = 0.92)
a.    0.953
b.    1.02
c.    0.4969
d.    1.42

Q4. In the design of a swing set, the two metal posts that support the top bar each measure 8 feet. At the ground level, the posts are to be 6 feet apart. At what
angle should the two metal posts be secured?
a. 44°
b. 38°
c. 32°
d. None of these

Q5. What is the sum of all the angles of a 9 pointed star.
a. 909
b. 900
c. 720
d. 540

Q6. For a regular octagon inscribed in a circle of radius 1cm, the product of the distance from a fixed vertex to other seven vertices is
a. 4
b. 8
c. 12
d. 16

Q7. The two vertical poles 20m an 80 m high stand apart on a horizontal plane. The height of the point of intersection of the lines joining the top of each pole to the foot of the other is
a. 15m
b. 16 m
c. 18 m
d. 50 m