MBA Exam

1. There are three tourist spots A, B and C in a city, each at a distance r from the centre of the city.Also,(i) A, B and C are at equal distances from each other and joined by circular and straight paths such that circular paths are outside the straight paths.(ii) No one can travel on consecutive straight or circular paths.What is the difference between the lengths of the two possible paths, where the path starts and ends at the same point?

1) (sq.root of 3 / 2).r - sq.root of 3. r
2) 2/3*phi*r - sq.root 3 . r
3) 2r
4) 3root3 r

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MBA Other Question
In how many ways, the natural numbers from 1 to 9 can be divided into three groups of three numbers each, such that sum of the numbers in each group is divisible by 3.

1) 9
2) 18
3) 37
4) 38
 A hill is in the form of a right circular cone with a vertical drop of 20m from the cliff to the bottom of the hill. A tower, perpendicular to the slope of the hill is situated midway down the slope. The tower is 40m tall and the top of the tower is 50m away from the cliff. Find the area of the base of the hill.

1) 1000π
2) 2000π
3) 1500π
4) 2100π
5) 3200π