CAT 2019 Shift 1 Paper

Question : 96 of 100

Marks: +1, -0

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

4 : 5
2 : 3
5 : 6
3 : 4

Validate

Solution:

Refer to the below figure:

As we can see, the triangle can be divided into 9 concurrent smaller equilateral triangles.
Also, hexagon contains 6 of them.
Hence the required ration

=6/9=2/3

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