MBA Exam

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

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MBA Other Question

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
The houses of 3 of my friends - Anupam, Shrikant and Nilesh - are located at the three vertices of the colony(triangular in shape) near my home. Given below are the directions to reach each of their houses from my home.Anupam's house: 12 m to the South and 40 m to the East Shrikant's house: 13 m to the West and 110 m to the North Nilesh's house: 15 m to East and 14 m to the NorthThere is a temple passing through the houses of Nilesh and Shrikant. Anupam starts from his house and takes the shortest possible route to reach the temple. What is the distance travelled by Anupam?

1) 16.72
2) 24.56
3) 18.64
4) None of these