# CAT 2021 Exam Question Papers Slot 1 | CAT Quants

### CAT Quantitative Aptitude | CAT 2021 Question Papers

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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:

6).

Suppose the length of each side of a regular hexagon ABCDEF is 2 cm . If T is the mid point of CD, then the length of AT in cm is

1. √15 cm

2. √13 cm

3. √12 cm

4. √14 cm

### Explanation

In hexagon, ABCDEF, ABC = 120o , and in  ABC,  ACB = 30o

So, in  ACT, ACT = 90o

In right angle triangle ACT, CT = 1 cm. If we find out AC, AT can be determined.

To find AC, drop perpendicular G on AC.

In right angle triangle AGB, AG = AB sin 60o =  2 x () =

So, AC = 2 cm

Now , in  ACT, applying Pythagoras theorem,

AT2 = AC2 + CT= (2)2 + 1= 13

• AT =    cm

Ans: