The CAT 2023 Quantitative Aptitude (QA) Slot 1 question paper is now available with detailed solutions for free download. CAT 2023 was conducted by IIM Lucknow on November 26, 2023, and the Slot 1 QA section carried 22 questions in 40 minutes.
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CAT 2023 Slot 1 QA Questions with Solutions
If x and y are real numbers such that x2 + (x-2y-1)2 = 4y(x+y), here the value x-2y is?
Let \(n\) be the least positive integer such that \(168\) is a factor of \(1134^n\) . If \(m\) is the least positive integer such that \(1134^n\) is a factor of \(168^m\) , then \(m+ n \) equals
If \(\sqrt{5x+9}\)+\(\sqrt{5x-9}\)=\(3(2-\sqrt2)\) then \(\sqrt{10x+9}\) is equal to
If \(x\) and \(y\) are positive real numbers such that \(log_x(x^2+12)=4\) and \(3\;log_yx=1\),then \(x+y\) equals
The number of integer solutions of equation \(2|x|(x^2+1)=5x^2\) is
The equation \(x^3+(2r+1)x^2+(4r-1)x+2=0\) 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
Let \(\alpha\) and \(\beta\) be the two distinct roots of the equation of 2x2-6x+k=0, such that (\(\alpha+\beta\)) and \(\alpha\beta\) are the distinct roots of the equation x2+px+p=0, then, the value of 8(k-p) ?
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
The salaries of three friends Sita, Gita and Mita are initially in the ratio 5:6:7 respectively. In the first year, they get salary hikes of 20%, 25% and 20% , respectively. In the second year, Sita and Mita get salary hikes of 40% and 25% , respectively, and the salary of Gita becomes equal to the mean salary of the three friends. The salary hike of Gita in the second year is
The minor angle between hours hand and minutes hand of a clock was observed at 8:48 am. The minimum deviation (in min) after 8:48 am on when angle increased by 50% is?
Brishti went on a 8-hour trip in a car, before the trip the car had traveled a total of x kms till then, where x is a whole number and is palindromic, At the end of his trip the car had had traveled a total of 26862 km. If Bristi never drove at more than 110 km/h, then the greatest possible average speed at which see dove is?
Geeta sells A \(→\) 20% (Profit) and B \(→\) 10% (Loss) at the same sp. If she increases SP such that A and B still sold at an equal price and profit of 10% made on B, then profit made on A will be?
A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder and the same amount is again removed from P and replaced with the same amount of cocoa powder to form a mixture Q. If the ratio of coffee and cocoa in Q=16:9. Then the ratio of coca in with P:Q is?
Anil invests Rs. 22000 for 6 years in a certain scheme with 4% interest per annum, compounded half-yearly. Sunil invests in the same scheme for 5 years, and then reinvests the entire amount received at the end of 5 years for one year at 10% simple interest. If the amounts received by both at the end of 6 years are same, then the initial investment made by Sunil, in rupees, is
The amount of job that Amal, Sunil and Kamal can individually do in a day, are in harmonic progression. Kamal takes twice as much time as Amal to do the same amount of job. If Amal and Sunil work for 4 days and 9 days, respectively, Kamal needs to work for 16 days to finish the remaining job. Then the number of days Sunil will take to finish the job working alone, is
Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, then the distance, in km, between town A and town B is [This question was asked as TITA]
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
Let C be the circle \(x^2+y^2+4x-6y-3=0\) and \(L\) be the locus of the point of intersection of a pair of tangents to \(C\) with the angle between the two tangents equal to \(60º\) . Then, the point at which \(L\) touches the line \(x = 6\) is
In a right-angled triangle Δ 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 Δ ABC are in arithmetic progression. If the area of Δ ABC is 1.5 times the area of Δ ABP , the length of PQ , in cm , is
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
The number of all natural numbers up to 1000 with non-repeating digits is
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 nth day exceeds one million, then the lowest possible value of n is
CAT 2023 Slot 1 QA Exam Pattern and Marking Scheme Explained
The Quantitative Ability section in CAT 2023 Slot 1 had 22 questions to be solved in a 40-minute sectional window, with no switching back once the timer ran out. It mixed single-correct MCQs with TITA (Type In The Answer) questions.
- Total questions: 22 in the Quantitative Ability section
- Section duration: 40 minutes (sectional time limit)
- Total marks: 66 (3 marks per question)
- Marking (MCQ): +3 for a correct answer, -1 for a wrong one
- Marking (TITA): +3 for a correct answer, no negative marking
- Question types: MCQ and TITA, with around 8 of the 22 being TITA in Slot 1
High-Weightage Topics in CAT 2023 Slot 1 QA to Focus On First
QA in CAT 2023 Slot 1 was an arithmetic grind, and most students rated it the toughest QA of the three slots. Lead your prep with the areas that actually carried the section.
- Arithmetic: the single largest block, driven by Time-Speed-Distance and Mixtures and Alligations
- Algebra: the second-biggest area, with equations, logarithms and progressions showing up
- Number System: a few calculation-heavy questions such as the 168 and 1134 factor problem
- Geometry and Mensuration: lighter than in earlier years, with circle and triangle based questions
- Modern Maths: limited presence, so do not over-invest here for this slot
CAT 2023 Slot 1 QA Question Paper Solutions Video
Source: Patrick100
How to Use the CAT 2023 QA Slot 1 Question Paper for Practice
Treat this paper as a timed mock first, then mine it for the calculation patterns CAT repeats every year.
- Solve all 22 questions in a strict 40-minute window before you open any solution
- Review every question with the solution PDF, even the ones you got right, to pick faster methods
- Redo the Arithmetic set separately, since Time-Speed-Distance and Mixtures dominated this slot
- Mark the 2 to 3 questions that ate the most time and build a skip-first instinct for the real exam
CAT 2023 QA Good Attempts and Percentile Benchmark
- 8 to 9 accurate attempts in QA Slot 1 was already a strong, percentile-pushing score
- An overall 38 to 48 attempts across all three sections was the rough 99 percentile zone for Slot 1
- Chase accuracy over volume here, because the -1 penalty on long arithmetic punished blind guesses
QA Slot 1 Question Paper FAQs
Ques. Was CAT 2023 Slot 1 QA the toughest among all three slots?
Ans. Yes, most students and analysts rated Slot 1 QA the hardest of the three. It leaned heavily on arithmetic with long calculations, and the algebra questions were trickier than usual.
Ques. How many QA questions should I attempt in CAT to get a good percentile?
Ans. In CAT 2023 Slot 1, around 8 to 9 accurate QA attempts was a strong score. Across the full paper, an overall 38 to 48 attempts put students in the 99 percentile range for Slot 1.
Ques. Which topics had the highest weightage in CAT 2023 Slot 1 QA?
Ans. Arithmetic was the most tested area, especially Time-Speed-Distance and Mixtures and Alligations, followed by Algebra. Geometry was lighter than in previous years.
Ques. Does CAT QA have negative marking for TITA questions?
Ans. No. MCQs carry +3 for a correct answer and -1 for a wrong one, but TITA (Type In The Answer) questions give +3 for a correct answer with no negative marking, so it is safe to attempt every TITA you can.
Ques. Are calculators allowed in the CAT QA section?
Ans. You only get the on-screen basic calculator built into the test interface. Physical calculators are not allowed, which is why CAT 2023 Slot 1 QA, with its heavy arithmetic, rewarded fast mental calculation. The exam is conducted by the IIMs (iimcat.ac.in).
Ques. Where can I download the CAT 2023 Slot 1 QA question paper with solutions PDF for free?
Ans. Use the download table above to get the CAT 2023 QA Slot 1 question paper and the full solutions PDF free on Collegedunia, and check every question with a detailed solution in the index below. The official paper and answer key are released by the IIMs on iimcat.ac.in.
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