MBA Exam

puys.. how to solve this... two circles both of radii 1cm intersect such that the circumference of one passes through the center of the other. What is the area of the intersecting region?? please expain the approach

1) (pi/3) - (root3/4)
2) (2pi/3) - (root3/2)
3) (2pi/3)/ (root3/2)

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MBA Other Question

A cube is painted in such a way that three mutually adjacent faces are painted brown, two faces are painted black and the remaining face is painted blue. The cube is now cut into 343 smaller but identical cubes.How many of the smaller cubes are painted on exactly two faces and have exactly two colours?

1) 10
2) 20
3) 30
4) 40
A breakfast cereal company ran a contest in which every box of cereal contained a number between 1 and 1000 (inclusive). One lucky number was drawn from all 1000 numbers each night for 20 nights. One man bought so much cereal that he had 500 different numbers, but not one of his numbers was lucky in any one of the draws. What is the approximate probability of this happening in a fair contest?

1) 1 in 100
2) 1 in 100000
3) 1 in 10000
4) 1 in 1000
5) 1 in 1000000