# CAT 2023 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 20

CAT 2023 Quant was dominated by Algebra followed by Arithmetic. 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 20 : Let both the series $a_1, a_2, a_3, $ldots$ and $b_1, b_2, b_3 $ldots$ be in arithmetic progression such that the common differences of both the series are prime numbers. If $a_5=b_9, a_{19}=b_{19}$ and $b_2=0$, then $a_{11}$ equals 1. 79 2. 83 3. 86 4. 84 ## 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 the common differences of the series $a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots$ and $b _ { 1 } , b _ { 2 } , b _ { 3 }$ be p and q respectively. We are told that p and q are prime numbers. $a _ { 5 } = b _ { 9 }$ $a _ { 19 } = b _ { 19 }$ $a _ { 19 } - a _ { 5 } = b _ { 19 } - b _ { 9 }$ $14 \times p = 10 \times q$ $\frac { p } { q } = \frac { 10 } { 14 } = \frac { 5 } { 7 }$ Since $p \& q$ are primes & $\frac { p } { q } = \frac { 5 } { 7 }$, we have $p = 5 \& q = 7$ $a _ { 11 } = a _ { 5 } + 6 p$ $a _ { 11 } = b _ { 9 } + 6 p$ $a _ { 11 } = b _ { 2 } + 7 q + 6 p$ $a _ { 11 } = 0 + 7 \times 7 + 6 \times 5$ $a _ { 11 } = 79$ The question is " Let both the series $a_1, a_2, a_3, \ldots$ and $b_1, b_2, b_3 \ldots$ be in arithmetic progression such that the common differences of both the series are prime numbers. If $a_5=b_9, a_{19}=b_{19}$ and $b_2=0$, then $a_{11}$ equals " ##### The answer is '79' Choice A 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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