MBA Exam

A cone of radius 1 unit and height 2 units just fits inside a cylinder with their axis perpendicular. The radius of the cylinder in unit is (This is marathon question... but needed someone to explain the sol,)

1) 1
2) 1.25
3) 1.5
4) 2

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MBA Other Question

A task is assigned to a group of 11 men, not all of whom have the same capacity to work. Every day exactly 2 men out of the group work on the task, with no pair of men working together twice. Even after all the possible pairs have worked once, all the men together had to work for exactly one day more to finish the task. What is the number of days that will be required for all the men working together to finish the job?

1) 11
2) 21
3) 33
4) None of these
how this question is in any way different from posting 3 letters into 6 different post boxes. ??

1) 216
2) 270
3) 300
4) 336