# CAT 2022 Question Paper | Quant Slot 1

###### CAT Previous Year Paper | CAT Quant Questions | Question 12

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 12 : For any real number $x$, let $[x]$ be the largest integer less than or equal to $x$. If $$sum_{n=1}^N$left[\frac{1}{5}+\frac{n}{25}\right]=25$ then $N$ 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 $[ \frac { 1 } { 5 } + \frac { n } { 25 } ] = [ \frac { n + 5 } { 25 } ]$  Range of n Count of n Value of $[ \frac { n + 5 } { 25 } ]$ 1 to 19 19 0 20 to 44 25 1 45 to 69 25 2 … … Clearly when N = 44, we see that $\sum_{n=1}^N\left[\frac{1}{5}+\frac{n}{25}\right]=19$0$+25(1)=25$.
Therefore, N = 44.

The question is " For any real number $x$, let $[x]$ be the largest integer less than or equal to $x$. If $$sum_{n=1}^N$left[\frac{1}{5}+\frac{n}{25}\right]=25$ then $N$ is " ##### Hence, the answer is '44' ###### Prepare for CAT 2023 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### 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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