CAT 2019 Slot 1 QA Question & Solution

GeometryMedium

Question

Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is

Options

2 : 3

4 : 5

5 : 6

3 : 4

Solution

Question Figure

The given figure can be divided into 9 regions or equilateral triangles of equal areas as shown below,

Question Figure

Now the hexagon consists of 6 regions and the triangle consists of 9 regions.

Hence the ratio of areas = 6/9 =2:3