# CAT 2022 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 19

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 19 : Consider the arithmetic progression $3,7,11, $ldots$ and let $A_n$ denote the sum of the first $n$ terms of this progression. Then the value of $$frac{1}{25} \sum_{n=1}^{25} A_n$ is 1. 404 2. 442 3. 455 4. 415 ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer a = 3 d = 4 Sum of first n terms, An = $\frac { n } { 2 }$ 2 a + ( n - 1$ d )$
$$frac { 1 } { 25 } $sum _ { n = 1 } ^ { 25 } A _ { n } = \frac { 1 } { 25 } \sum _ { n = 1 } ^ { 25 } \frac { n } { 2 }$ 2 a + ( n - 1$ d )$
$= $frac { 1 } { 25 } $sum _ { n = 1 } ^ { 25 } \frac { n } { 2 }$ 6 + ( n - 1$ 4 )$
$= $frac { 1 } { 25 } $sum _ { n = 1 } ^ { 25 } n$ 2 n + 1$$
$= $frac { 1 } { 25 } $left$ 2 $sum _ { n = 1 } ^ { 25 } n ^ { 2 } + \sum _ { n = 1 } ^ { 25 } n \right$$ $= $frac { 1 } { 25 } \left$ 2 $times \frac { 25 \times 26 \times 51 } { 6 } + \frac { 25 \times 26 } { 2 } \right$$ $= 2 $times 17 \times 13 + 13$ $= 35 \times 13$ = 455 The question is " Consider the arithmetic progression $3,7,11, \ldots$ and let $A_n$ denote the sum of the first $n$ terms of this progression. Then the value of $\frac{1}{25} \sum_{n=1}^{25} A_n$ is " ##### Hence, the answer is '455' Choice C is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2023 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 2023 Classroom Batches Starting Now! @Gopalapuram ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### 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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