The CAT 2022 QA Slot 2 paper was held by IIM Bangalore on November 27, 2022, in the afternoon window from 12:30 PM to 2:30 PM. This Quantitative Aptitude section carried 22 questions for 66 marks with a 40-minute sectional timer, and you faced about 8 TITA questions alongside 14 MCQs.
| CAT 2022 QA Slot 2 Question Paper with Solutions | Download PDF | Check Solutions |
Experts rated the section Medium in difficulty, and an attempt of 13 to 15 questions at 85 to 90 percent accuracy was enough to clear it comfortably. On this page you get every one of the 22 questions with step-by-step solutions so you can benchmark your own solving and revise weak areas faster.
CAT 2022 Slot 2 QA Questions with Solutions
Working alone,the times taken by Anu,Tanu and Manu to complete any job are in the ratio \(5:8:10\). They accept a job which they can finish in 4 days if they all work together for 8 hours per day. However,Anu and Tanu work together for the first 6 days,working 6 hours 40 minutes per day. Then,the number of hours that Manu will take to complete the remaining job working alone is
Mr.Pinto invests one-fifth of his capital at \(6\%\),one-third at \(10\%\) and the remaining at \(1\%\),each rate being simple interest per annum.Then,the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is
Regular polygons A and B have number of sides in the ratio \(1:2\) and interior angles in the ratio \(3:4\).Then the number of sides of B equals
The number of distinct integer values of n satisfying \(4−\log\frac{2n}{3}−\log4n\lt0\), is
The average of a non-decreasing sequence of N numbers \(a_1,a_2,…,a_N\) is 300.If \(a_1\) is replaced by \(6a_1\), the new average becomes 400.Then,the number of possible values of \(a_1\) is
If a and b are non-negative real numbers such that a+2b=6, then the average of the maximum and minimum possible values of (a+b) is
The length of each side of an equilateral triangle ABC is 3 cm. Let D be a point on BC such that the area of triangle ADC is half the area of triangle ABD. Then the length of AD,in cm,is
The number of integers greater than 2000 that can be formed with the digits 0,1,2,3,4,5 using each digit at most once,is
Let \(f(x)\) be a quadratic polynomial in x such that \(f(x)≥0\) for all real numbers x.If \(f(2)=0\) and \(f(4)=6\),then \(f(−2)\) is equal to
Manu earns ₹4000 per month and wants to save an average of ₹550 per month in a year. In the first nine months, his monthly expense was ₹3500, and he foresees that, tenth month onward, his monthly expense will increase to ₹3700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be
In an election,there were four candidates and \(80\%\) of the registered voters casted their votes.One of the candidates received \(30\%\) of the casted votes while the other three candidates received the remaining casted votes in the proportion \(1:2:3\). If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was
On day one,there are 100 particles in a laboratory experiment.On day n,where n≥2,one out of every n particles produces another particle.If the total number of particles in the laboratory experiment increases to 1000 on day m,then m equals
There are two containers of the same volume,first container half-filled with sugar syrup and the second container half-filled with milk.Half the content of the first container is transferred to the second container,and then the half of this mixture is transferred back to the first container.Next, half the content of the first container is transferred back to the second container.Then the ratio of sugar syrup and milk in the second container is
Five students,including Amit,appear for an examination in which possible marks are integers between 0 and 50,both inclusive.The average marks for all the students is 38 and exactly three students got more than 32.If no two students got the same marks and Amit got the least marks among the five students,then the difference between the highest and lowest possible marks of Amit is
Two ships meet mid-ocean,and then,one ship goes south and the other ship goes west,both travelling at constant speeds.Two hours later,they are 60 km apart.If the speed of one of the ships is 6km per hour more than the other one,then the speed,in km per hour,of the slower ship is
For some natural number n,assume that \((15,000)!\) is divisible by \((n!)!\) The largest possible value of n is
Suppose for all integers x, there are two functions f and g such that \(f(x)+f(x−1)−1=0\) and \(g(x)=x^2\). If \(f(x^2−x)=5\),then the value of the sum \(f(g(5))+g(f(5))\) is
In triangle \(ABC\), altitudes \(AD\) and \(BE\) are drawn to the corresponding bases. If \(∠BAC=45°\) and \(∠ABC=θ\), then \(\frac {AD}{BE}\) equals
The number of integer solutions of the equation \((x^2−10)^{(x2−3x−10)}=1\) is
Let r and c be real numbers. If r and −r are roots of 5x3+cx2−10x+9=0,then c equals
Consider the arithmetic progression 3,7,11,…and let \(A_n\) denote the sum of the first n terms of this progression.Then the value of \(\frac{1}{25}∑^{25}_{n=1}A_n\) is
In an examination,there were 75 questions.3 marks were awarded for each correct answer,1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question.Rayan scored a total of 97 marks in the examination.If the number of unattempted questions was higher than the number of attempted questions,then the maximum number of correct answers that Rayan could have given in the examination is
What was the CAT 2022 QA Slot 2 exam pattern?
The Quantitative Aptitude section of CAT 2022 Slot 2 followed the same structure used across all three slots, giving you 22 questions in 40 minutes for a maximum of 66 marks. About 8 of the 22 questions were TITA (no negative marking), and the remaining 14 were 4-option MCQs.
- 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 answer
- Marking (TITA): +3 for a correct answer, 0 for a wrong answer
- Question types: 14 MCQs (4 options each) and 8 TITA questions across Arithmetic, Algebra, Geometry and Mensuration, Number System, and Modern Maths
Which topics carried the most weight in CAT 2022 QA Slot 2?
Arithmetic and Algebra dominated the section, together accounting for 14 of the 22 questions. If you are revising for CAT, prioritising these two areas covers nearly 64 percent of the QA paper.
- Arithmetic - 8 questions: the single largest area, drawing on Ratio-Proportion, Simple and Compound Interest, and Mixtures and Alligations.
- Algebra - 6 questions: the second-heaviest area, with equations, inequalities, and maxima-minima style problems.
- Modern Maths - 4 questions: covering Functions, Logarithms, Progressions, and Permutations and Combinations.
- Geometry and Mensuration - 3 questions: spread across Trigonometry, Triangles, and Polygons.
- Number System - 1 question: the lightest area, with a single question in Slot 2.
CAT 2022 QA Slot 2 full paper video solution
Source: Coachify CAT
How should you use this CAT 2022 QA Slot 2 paper?
Treat the paper as a timed mock first and a learning tool second. Give yourself the real 40-minute limit, attempt the questions you are confident about, and only then open the solutions to study the methods.
- Solve all 22 questions in one 40-minute sitting to feel the exact time pressure of the 12:30 PM slot.
- Target 13 to 15 attempts, since 15 questions was the ideal-attempt count flagged by experts for this section.
- Hold your accuracy at 85 to 90 percent, because every wrong MCQ costs you 1 mark while a wrong TITA costs 0.
- Spend the most revision time on the 14 Arithmetic and Algebra questions, which made up 64 percent of the paper.
What was a good score and percentile in CAT 2022 QA Slot 2?
- A QA sectional score of 30 to 34 marks was enough for a 99-plus percentile in Slot 2.
- Attempting 13 to 14 questions correctly out of 22 put you firmly in the top percentile band.
- An overall raw score of about 98 to 100 across all three sections fetched a 99 percentile in CAT 2022 Slot 2.
QA Slot 2 Question Paper FAQs
Ques. How many questions were there in CAT 2022 QA Slot 2?
Ans. The Quantitative Aptitude section of CAT 2022 Slot 2 had 22 questions worth 66 marks, to be solved in a 40-minute sectional time limit. Around 8 of these were TITA questions and 14 were MCQs.
Ques. How difficult was the CAT 2022 QA Slot 2 section?
Ans. Experts rated the section Medium in difficulty. It was dominated by Arithmetic with 8 questions and Algebra with 6 questions, so candidates strong in these two areas found 14 of the 22 questions approachable.
Ques. What was a good number of attempts in CAT 2022 QA Slot 2?
Ans. An ideal attempt was about 15 questions, and most students could realistically attempt 13 to 14 of the 22 questions with 85 to 90 percent accuracy within the 40-minute window.
Ques. What score gave a 99 percentile in CAT 2022 QA Slot 2?
Ans. A QA sectional score of 30 to 34 marks was enough for a 99-plus percentile in Slot 2. An overall raw score of roughly 98 to 100 across all three sections corresponded to a 99 percentile.
Ques. How was CAT 2022 QA Slot 2 marked?
Ans. Each question carried 3 marks. For the 14 MCQs you earned +3 for a correct answer and lost 1 mark for a wrong one, while the 8 TITA questions gave +3 for a correct answer and 0 for a wrong one.
Ques. Who conducted CAT 2022 and where can you find official details?
Ans. CAT 2022 was conducted by IIM Bangalore on November 27, 2022, in 3 slots. You can verify the official exam pattern and notifications on iimcat.ac.in.
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