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CAT 2019 Quant Question with Solution 5

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

  1. 5: 6
  2. 4: 5
  3. 3: 4
  4. 2: 3
Show Answer

Correct Answer: Option: 4

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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