# CAT 2022 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 21

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 21 : The length of each side of an equilateral triangle $$mathrm{ABC}$ is $3 $mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{BC}$ such that the area of triangle $\mathrm{ADC}$ is half the area of triangle $\mathrm{ABD}$. Then the length of $\mathrm{AD}$, in $\mathrm{cm}$, is 1. $\sqrt{6}$ 2. $\sqrt{5}$ 3. $\sqrt{8}$ 4. $\sqrt{7}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer Let AE be the perpendicular dropped from A on to BC, AE = $\frac { \sqrt { 3 } } { 2 } 3$. E is the mid-point of BC. EC = 1.5 cm Ar$Δ ABD$ : Ar(Δ ADC) = 2 : 1
BD : DC = 2 : 1
DC = 1cm
ED = EC - DC = 1.5 cm - 1 cm = 0.5 cm
Δ AED is a right-angled triangle.
AD2 = AE2 + ED2
AD2 = $$left$ $frac { 3 $sqrt { 3 } } { 2 } \right$ ^ { 2 } + $left$ $frac { 1 } { 2 } \right$ ^ { 2 }$ AD2 = $$frac { 27 } { 4 } + \frac { 1 } { 4 }$ AD 2 = 7 $A D = \sqrt { 7 }$ ##### The answer is '$\sqrt{7}$' Choice D is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## CAT Questions | Verbal Ability for CAT ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91$ 99626 48484 / 94459 38484
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