Register

CAT 2022 Set-2 | Quantitative Aptitude | Question: 7

• edited by
1,434 views
0 0 votes

The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ such that the area of triangle $\mathrm{A D C}$ is half the area of triangle $\mathrm{A B D}$. Then the length of $\mathrm{A D}$, in $\mathrm{cm}$, is

  1. $\sqrt{7}$
  2. $\sqrt{6}$
  3. $\sqrt{8}$
  4. $\sqrt{5}$

     

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
← Previous · CAT 2022 Set-2 | Qua...Next → · CAT 2022 Set-2 | Qua...
← Previous in category · CAT 2022 Set-2 | Qua...Next in category → · CAT 2022 Set-2 | Qua...
Position:
Show:

Related questions

0 0 votes
1 1 answer
1.9k
1.9k views
admin asked Feb 2, 2023
1,914 views
CAT 2022 Set-2 | Quantitative Aptitude | Question: 1
Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio $5: 8: 10$. They accept a job which they can finish in $4$ days if they all work...
0 0 votes
0 0 answers
1.4k
1.4k views
admin asked Feb 2, 2023
1,448 views
CAT 2022 Set-2 | Quantitative Aptitude | Question: 2
Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest per annum. Then, the minimum numbe...
0 0 votes
0 0 answers
1.2k
1.2k views
admin asked Feb 2, 2023
1,172 views
CAT 2022 Set-2 | Quantitative Aptitude | Question: 3
Regular polygons $\mathrm{A}$ and $\mathrm{B}$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $\mathrm{B}$ ...
0 0 votes
0 0 answers
1.3k
1.3k views
admin asked Feb 2, 2023
1,325 views
CAT 2022 Set-2 | Quantitative Aptitude | Question: 4
The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
0 0 votes
0 0 answers
1.4k
1.4k views
admin asked Feb 2, 2023
1,432 views
CAT 2022 Set-2 | Quantitative Aptitude | Question: 5
The average of a non-decreasing sequence of $\mathrm{N}$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average beco...