MBA Exam Logical Reasoning General Mental Ability

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

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MBA Other Question

Remainder 17^83 + 83^17 divided by 1411

1) 1
2) 100
3) 0
4) None of these
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)