CAT4MBA

Q1. A square sheet of paper has a side of 30 cm. Four squares, each of sides ‘x’ cm, are cut away from each of its concerns and the remaining sheet is folded into an open cuboid. What is the maximum possible volume (in cc) of the cuboid formed?
a. 2592
b. 2048
c. 2000
d. 1944

Q2. There are 8 points on a plane, out of which 4 point lies on the circumference of the same circle and rest 4 points do not lie on a single circumference of a circle and also they are non-collinear. Maximum how many circles can be drawn such that each contains at least three of the given points?
a. 53
b. 32
c. 35
d. 56

Q3. SanX in a right angle triangle is defined as

SanX = Hypotenuse / (Sum of the other two sides of the triangle)

In the below right triangle DEF, angle D is 30°, and side DF is 3 inches.   What is SanX?
 

a. 2sqrt(3)/ [ 3 + sqrt(3) ]
b. [ 3 + sqrt(3) ] /2sqrt(3)
c. 3sqrt(2)/ [ 3 + sqrt(2) ]
d. None of the above

Q4.  One of the angles of a parallelogram is of 150 degree. Altitudes are drawn from the vertex of this angle. If these altitudes measures 6 cm and 8 cm, then the perimeter of the parallelogram.
a. 28 cm
b. 42 cm
c. 56 cm
d. 64 cm

Q5. If the sum of all the angles except one of a convex polygon is 2190 degrees, then the number of sides of the polygon must be:
a. 13
b. 15
c. 17
d. 19
e. 21

Q6. A circle circumscribes a regular hexagon which has area 30 sqrt 3 cm2. How long is the circular arc between two adjacent vertices of the hexagon?
a. (2pi sqrt5)/3
b. (pi sqrt5)/3
a. (2pi sqrt5)/sqrt3
a. (pi sqrt5)/sqrt3

Q7. The number of points of intersection of the diagonals of a regular hexagon is :
a. 10
b. 15
c. 18
d. 19

Q8. A cylindrical can of constant volume has its height increasing at a constant rate of 25% per day. At what rate will the radius be changing?
a. 12. 25 % per day
b. 16. 66 % per day
c. 33.33 % per day
d. None of these