CAT 2022 Question Paper | Quant Slot 3

CAT Previous Year Paper | CAT Quant Questions | Question 11

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 11 : If $$left$$sqrt{$frac{7}{5}}\right$^{3 x-y}=$frac{875}{2401}$ and $\left$$frac{4 a}{b}\right$^{6 x-y}=$left$$frac{2 a}{b}\right$^{y-6 x}$, for all non-zero real values of $a$ and $b$, then the value of $x+y$ is 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 $$left$ $sqrt { \frac { 7 } { 5 } } \right$ ^ { 3 x - y } = $frac { 875 } { 2401 }$ $\left$ $sqrt { \frac { 7 } { 5 } } \right$ ^ { 3 x - y } = $left$ $frac { 7 } { 5 } \right$ ^ { $frac { 3 x - y } { 2 } } = \frac { 125 } { 343 } = \left$ $frac { 5 } { 7 } \right$ ^ { 3 } = $left$ $frac { 7 } { 5 } \right$ ^ { - 3 }$ 3x - y = -6 $$left$ $frac { 4 a } { b } \right$ ^ { 6 x - y } = $left$ $frac { 2 a } { b } \right$ ^ { y - 6 x }$ $$ 2 ) ^ { 6 x - y } = $left$ $frac { 2 a } { b } $right$ ^ { 2 y - 12 x }$ Let R = $$frac { 2 a } { b }$, Since a and b are real numbers, R is also real. $$ 2$ ^ { 6 x - y } = $left$ R ^ { - 2 } $right) ^ { 6 x - y }$ R = $$frac { 1 } { \sqrt { 2 } }$, But $\frac { 1 } { \sqrt { 2 } }$ is not real. Hence, the given equation can be satisfied only when the powers zero. That is 6x - y = 0 y = 6x 3x - y = -6 x = 2 y = 12 x + y = 2 + 12 = 14 The answer is '14' 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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