MBA Exam

a solid spherical ball of radius 3 units with a cylindrical hole is kept on one of a cylinder such that half the ball is inside the cylinder.the hole in the spherical ball has a diameter of 0.5 units and the axis of the hole is perpendicular to the mouth of the cylinder.the cylinder has a diameter of 6 units and height of 12 units.if water is filled into the cylinder thru the hole in the ball,what is the approx volume that can be filled without overflowing?

1) 84.25pi
2) 75pi
3) 95.75pi
4) 90.375pi

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MBA Other Question
For the equation |x|2 + |x| - 6 = 0

1) there is only one positive root
2) sum of roots is 0
3) the product of roots is - 4
4) All of these
5) None
 Jane covered a distance of 340 miles between city A and city taking a
total of 5 hours. If part of the distance was covered at 60 miles per
hour speed and the balance at 80 miles per hour speed, how many hours
did she travel at 60 miles per hour?

1) 2 hours 30 minutes
2) 3 hours
3) 2 hours
4) 1 hour 45 minutes