
CAT 2023 Slot 1 Quant question paper had 22 questions to be attempted in 40 minutes. The section included questions from Arithmetic, Algebra, Geometry, Number System and Modern Mathematics. Candidates preparing for CAT can use the CAT 2023 Slot 1 Quant question paper with solutions to practise questions from these topics.
CAT 2023 Slot 1 QA was considered difficult. Arithmetic had the highest number of questions, followed by Algebra. Questions involved topics such as Time-Speed-Distance, Time and Work, Ratios, Simple and Compound Interest, Profit and Loss, Mixtures, Clocks, logarithms, equations and sequences and series.
CAT 2023 Slot 1 Quant Questions with Solutions
Find selected questions from the CAT 2023 Slot 1 Quant question paper below. Refer to the PDF above for the complete question paper and detailed solutions.
Question 1: The equation x3 + (2r + 1)x2 + (4r - 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 (in numerical value):
This was a TITA (Type In The Answer) question.
Correct Answer: 2
Question 2: The minor angle between the hours hand and minutes hand of a clock was observed at 8:48 am. The minimum duration, in minutes, after 8:48 am when this angle increases by 50% is:
- 24/11
- 2
- 4
- 36/11
Correct Option: A
Question 3: A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder. The same amount is again removed from mixture P and replaced with same amount of cocoa powder to form a new mixture Q. If the ratio of coffee and cocoa in the mixture Q is 16 : 9, then the ratio of cocoa in mixture P to that in mixture Q is:
- 5 : 9
- 4 : 9
- 1 : 3
- 1 : 2
Correct Option: A
Question 4: In an examination, the average marks of 4 girls and 6 boys is 24. Each of the girls has the same marks while each of the boys has the same marks. If the marks of any girl is at most double the marks of any boy, but not less than the marks of any boy, then the number of possible distinct integer values of the total marks of 2 girls and 6 boys is:
- 19
- 21
- 22
- 20
Correct Option: B
Question 5: Brishti went on an 8-hour trip in a car. Before the trip, the car had travelled a total of x km till then, where x is a whole number and is palindromic, i.e., x remains unchanged when its digits are reversed. At the end of the trip, the car had traveled a total of 26862 km till then, this number again being palindromic. If Brishti never drove at more than 110 km/hr, then the greatest possible average speed at which she drove during the trip, in km/hr, was:
- 80
- 90
- 110
- 100
Correct Option: D
CAT 2023 Slot 1 Quant Question Paper: MCQ & TITA Weightage
Check the section-wise weightage of MCQs and TITA questions in the CAT 2023 Slot 1 Quant question paper below:
| Section Name | Number of MCQs | Number of Non-MCQs (TITA Questions) |
|---|---|---|
| Quantitative Ability | 16 | 6 |
CAT 2023 Slot 1 Quant section had MCQ and TITA questions in a ratio of 16:6.
CAT 2023 Slot 1 Quant Question Paper: Topic-wise Weightage
Check the table below for topic-wise weightage in the CAT 2023 Slot 1 Quant question paper:
| Topic | Weightage (No. of Questions) |
|---|---|
| Number System | |
| Surds | 1 |
| Algebra | |
| Logarithms | 1 |
| Equations | 3 |
| Surds | 1 |
| Sequence & Series | 2 |
| Algebra Total | 8 |
| Arithmetic | |
| Time-Speed-Distance | 2 |
| Time & Work | 1 |
| Ratio | 1 |
| Simple & Compound Interest | 1 |
| Profit, Loss & Discount | 1 |
| Mixtures | 1 |
| Clocks | 1 |
| Arithmetic Total | 9 |
| Modern Math | |
| Permutation & Combination | 1 |
| Geometry & Mensuration | |
| Triangle | 1 |
| Quadrilateral | 1 |
| Coordinate Geometry/Circle | 1 |
| TOTAL | 22 |
FAQs on CAT 2023 Slot 1 Quant Question Paper
Find some important FAQs related to CAT 2023 slot 1 Quant question paper:
Commonly asked questions
CAT books by Arun Sharma, Nishit Sinha, RS Agarwal and Abhijit Guha are good and exhaustive, but you should refer to more study material like sample test papers and mock tests for a complete preparation.
The best resources for Quantitative Aptitude preparation is sample papers and previous years' CAT question papers. Since both Quantitative Aptitude is all about Mathematics, it can only be mastered by having enough practice. But only solving question papers and practice papers will not be enough. You will need to first be thorough with the topics and their concepts/formulae. For that refer to books like Quantitative Aptitude for Competitive Examinations by Abhijit Guha, Quantitative Aptitude for CAT by Nishit Sinha and Quantitative Aptitude Quantum CAT by Sarvesh Sharma. Sectional mock tests for Quants are also very important for preparation.
Overall difficulty level of CAT exam has always been moderate to high. CAT is of higher difficulty level than all other MBA entrance exams in India.
The Quantitative Aptitude section of CAT is the third and the last section of the question paper. It has 22 questions and the total marks is 66. This section of the CAT exam is usually dominated by Arithmetic and Algebra. Most of the questions out of 22 are asked from these two topics. There are about 7-9 Algebra questions and 7-9 Arithmetic questions (the exact number varied for all three slots). Apart from these two topics, there are questions from Mensuration Modern Math and Number System in the Quantitative Aptitude section CAT. Some of the important sub topics in this section include: Arithmetic topics: Ratio and Proportion, Simple and Compound Interest, Profit and Loss Mixtures and Allegations Averages, Percentages, Mean Median Mode, Time and Work, Time Speed and Distance Algebra topics: Basics Algebraic Formulae, Number of integer solutions, Quadratic Equations, Finding out roots, Maxima and Minimal, Higher Degree Equations, Linear Equations, Problems on ages, Descartes Rule of Signs, Inequalities, Logarithm, Functions, Modifications of Graphs, The smallest Value in a Maximum Function Number System topics: Finding Out Last Two Digits, Number of Trailing Zeroes, Finding out Remainders based on, Basic Divisibility Rules, Binomial Theorem, Simplifying the Dividend (Single and/or Multiple Divisors), Basics of Numbers, Properties of Numbers, Divisibility Rules, Divisibility and Factors, the highest Common Factor and the lowest Common Multiple, Finding Out the Last Digit, Fermat's Theorem, Euler's Theorem, Pattern Recognition and Cyclicity of Remainders, Wilson's Theorem, Base Systems, Conversion of Bases, Addition/Subtraction/ Multiplication in different bases Geometry Topics: Lines and Angles, Triangles Basic Concepts, Area, Angles, Similar Triangles Polygons, Circles, Solids / Mensuration 3D Geometry, Coordinate Geometry, Trigonometry Modern Math topics: Sequence and Series Binomial Theorem, Set Theory, Permutation and Combination, Probability.
CAT Exam
Student Forum
Answered 14 hours ago
No, CAT is not compulsory for MBA at SOA University. Candidates without CAT scores can appear for SAAT conducted by SOA for admission in MBA. Aspirants can choose any of these of admission pathways.
N
Guide-Level 15
Answered 18 hours ago
Yes, candidates can get admission to specific executive or online MBA programs at IIM Mumbai without the CAT by using alternative exams like GMAT or GRE, or by clearing the institute's own entrance test. However, the regular, full-time flagship MBA programme strictly requires a valid CAT score.
R
Contributor-Level 10
Answered Yesterday
CAT coaching institutes in Ludhiana that offer weekend batches are TIME, IMS, Master Mind, Bulls Eye and Career Launcher.
S
Contributor-Level 10
Answered Yesterday
To choose the best CAT Coaching institute in Ludhiana, candidates must consider the following points:
- Ask about batch size, number of full-length mocks, recorded sessions/notes
- Compare classroom vs. online/hybrid formats
- Final fee structure and refund/installment policy.
- Success Rate of the centre.
S
Contributor-Level 10
Answered Yesterday
The average fee in Ludhiana is from ₹50,000 to ₹85,000 for offline classroom courses and ₹18,000 to ₹35,000 for online courses.
S
Contributor-Level 10
Answered 2 days ago
CAT coaching institutes in Kerala that offer weekend batches are IMS (Kochi), Career Launcher (Trivandrum) and T.I.M.E.
S
Contributor-Level 10
Answered 2 days ago
To choose the best CAT Coaching institute in Kerala, candidates must consider the following points:
- Success Rate of the centre
- Compare classroom vs. online/hybrid formats
- Ask about batch size, number of full-length mocks, recorded sessions/notes
- Final fee structure and refund/installment policy.
S
Contributor-Level 10
Answered 2 days ago
The average fee ranges in Kerala from ₹50,000 to ₹75,000 for offline classroom courses and ₹18,000 to ₹35,000 for online courses.
S
Contributor-Level 10
Answered 2 days ago
CAT coaching institute in Goa that offers weekend batches is T.I.M.E. IMS is also said to run the batches on weekends.
S
Contributor-Level 10
Answered 2 days ago
To choose the best CAT Coaching institute in Goa, candidates must consider the following points:
- Success Rate of the centre
- Compare classroom vs. online/hybrid formats
- Ask about batch size, number of full-length mocks, recorded sessions/notes
- Final fee structure and refund/installment policy.
S
Contributor-Level 10
Is CAT compulsory for MBA at SOA University?