MBA Exam

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

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MBA Other Question

For how many values of â€˜aâ€™ are x log a, y log 2a and z log 3a in arithmetic progression? (x, y, z and a
are natural numbers.)

1) 0
2) more than 2
3) 1
4) 2
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