MBA Exam

In a regular hexagon of side a cm,the mid points of three alternate sides are joined in order to form a triangle.What is the ratio of the area of the triangle such formed to area of hexagon?

1) 2:5
2) 7:8
3) 3:8
4) 1:2
5) 2:7

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MBA Other Question

A ‘table set’ consists of a ‘table’ and a ‘table cloth’. For every ‘table set’, the price of its ‘table cloth’ is directly proportional to the price of the ‘table’. The ‘table cloths’ of two ‘table sets’ A and B are exchanged. The ratio of the prices of the ‘table set’ A and ‘table set’ B before and after the exchange of the ‘table cloths’ are 5:1 and 4:1 respectively. If the price of ‘table set’ C is 8 times that of ‘table set’ D, then the ratio of the prices of ‘table set’ C and ‘table set’ D when their respective ‘table cloths’ are exchanged is (A ‘table set’ is identified by the ‘table’, and not by the ‘table cloth’)

1) 5:1
2) 17:3
3) 8:1
4) 7:1
The number of diagonals of a convex polygon is 65.what could be the maximum number of points of intersection of these diagonals in the interior of the polygon ?

1) 715
2) 585
3) 845
4) 650