# CAT Quantitative Aptitude Questions | Geometry Questions for CAT - Triangles

###### CAT Questions | CAT Geometry Questions | Lines

The question is from the topic lines. In this problem, it tests our understanding on basic properties of a line. CAT Geometry questions are heavily tested in CAT exam. Make sure you master Geometry problems.

Question 40: In the below figure, If $$frac{PQ}{PR}\\$ = $\frac{PR}{RQ}\\$, then 1. $\frac{PR}{QR}\\$ > 2 2. $\frac{PR}{QR}\\$ = 2 3. $\frac{PR}{QR}\\$ < 2 4. can’t be determined ## 2IIM : Best Online CAT Coaching #### 2IIM's Online CAT Coaching4000 off on CAT Online Course for CAT 2020. Vaild till Dec 16thCAT Online Coaching ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2020Starts Sat, December 14th, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Triangles: It is a very basic question. Let's start with the given details. Given, $\frac{PQ}{PR}\\$ = $\frac{PR}{RQ}\\$ Here, PQ = PR + RQ => 1 + $\frac{RQ}{PR}\\$ = $\frac{PR}{RQ}\\$ Let $\frac{PR}{RQ}\\$ = x => 1+ $\frac{1}{x}\\$ = x => x+ 1 = x2 => x2 - x - 1 = 0 => x = $\frac{$+1±√(1+4$)}{2}$ = $\frac{1±√5}{2}\\$ , Since PR – RQ > 0 => x = $\frac{1+√5}{2}\\$ which is between 1 and 2 The question is " If $\frac{PQ}{PR}\\$ = $\frac{PR}{RQ}\\$, then " ##### Hence, the answer is $\frac{PR}{QR}\\$ < 2 Choice C is the correct answer. ###### 2IIM's Online CAT Coaching4000 off on CAT Online Course for CAT 2020. Vaild till Dec 16th Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/- Next Weekend Batch Starts Sat, Dec 14th, 2019 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Attend a Demo Class ## CAT Preparation Online | CAT Geometry questions Videos On YouTube #### Other useful sources for Geometry Question | Geometry Triangles Circles Quadrilaterals Sample Questions ##### 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? Phone:$91) 44 4505 8484
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