# CAT 2023 Question Paper Slot 1 | CAT Quants

###### CAT Quantitative Aptitude | CAT 2023 Question Paper

CAT 2023 Quant, unlike previous years was not dominated by Arithmetic. Though Arithematic was the most tested topic 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.

1. 0
2. 1
3. 2
4. -1

7. #### CAT 2023 Slot 1 - QA

The equation $x^3+(2 r+1) x^2+(4 r-1) x+2=0$ has -2 as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of $r$ is

2. (6,8)
3. (6,3)
4. (6,6)

18. #### CAT 2023 Slot 1 - QA

A quadrilateral ABCD is inscribed in a circle such that AB : CD = 2 : 1 and BC : AD = 5 : 4. If AC and BD intersect at the point E, then AE : CE equals

1. 1 : 2
2. 5 : 8
3. 8 : 5
4. 2 : 1

19. #### CAT 2023 Slot 1 - QA

In a right-angled triangle ABC, the altitude AB is 5 cm, and the base BC is 12 cm. P and Q are two points on BC such that the areas of ΔABP, ΔABQ and ΔABC are in arithmetic progression. If the area of ΔABC is 1.5 times the area of ΔABP, the length of PQ, in cm, is

20. #### CAT 2023 Slot 1 - QA

For some positive and distinct real numbers $x, y$ and $z$, if $$frac{1}{$sqrt{y}+\sqrt{z}}$ is the arithmetic mean of $\frac{1}{\sqrt{x}+\sqrt{z}}$ and $\frac{1}{\sqrt{x}+\sqrt{y}}$, then the relationship which will always hold true, is 1. $\sqrt{x}, \sqrt{y}$ and $\sqrt{z}$ are in arithmetic progression 2. $\sqrt{x}, \sqrt{z}$ and $\sqrt{y}$ are in arithmetic progression 3. $y, x$ and $z$ are in arithmetic progression 4. $x, y$ and $z$ are in arithmetic progression 21. #### CAT 2023 Slot 1 - QA The number of all natural numbers up to 1000 with non-repeating digits is 1. 585 2. 504 3. 648 4. 738 22. #### CAT 2023 Slot 1 - QA A lab experiment measures the number of organisms at 8 am every day. Starting with 2 organisms on the first day, the number of organisms on any day is equal to 3 more than twice the number on the previous day. If the number of organisms on the $n^{\text {th }}$ day exceeds one million, then the lowest possible value of $n$ is ###### 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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