CAT 2017 Question Paper | Quants Slot 2

CAT Questions

Not sure where to start you CAT Preparation online ? Don't worry! We've got your back. One of the most important step for your preparation for the CAT Exam is going through CAT previous year paper to understand the type of questions asked. Here is a Geometry question from CAT Question Paper 2017 Slot 2 for you to practice. Make sure you dont have a look at the solution before giving this question a try yourself.

Question 15 : Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is

1. 3√2
2. 3
3. 4
4. √3

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Geometry

Given that ABCDEF be a regular hexagon with each side of length of 1 cm.
We have to find the area of a square with AC as one side.
ABO is the equilateral triangle with each side having length of 1 cm and ABCO is the rhombus.
Altitude of an equilateral triangle = \\frac{√3}{2}) a
So AP = \\frac{√3}{2}) × 1
Where AP = PC
⟹ AC = AP + PC
⟹ AC = \\frac{√3}{2}) × 2
⟹ AC = √3
Area of a square = a² sq.units
Area of the square with AC as one side = √3 × √3 = 3 sq.units

The question is "Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is"

Hence, the answer is 3

Choice B is the correct answer