CAT 2022 Question Paper with Answer Key PDF for QA (November 27 - Shift 3)
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Content Curator | Updated On - Jun 29, 2026
Practice the complete Quantitative Aptitude paper from the third slot of CAT 2022, the evening sitting that IIM Bangalore administered on November 27, 2022. You get all 22 questions, totalling 66 marks, that students had to clear inside a strict 40-minute sectional limit.
| CAT 2022 QA Slot 3 Question Paper with Solutions | Download PDF | Check Solutions |
About 8 of these were TITA questions with zero penalty for a wrong answer, and the remaining 14 multiple-choice questions awarded +3 for a correct response and deducted 1 mark for an incorrect one. Each solution below is worked out fully so you can check your method against questions spanning Arithmetic, Algebra, Geometry, Number System and Modern Maths.
CAT 2022 Slot 3 QA Questions with Solutions
A donation box can receive only cheques of ₹100,₹250 and ₹500. On one good day,the donation box was found to contain exactly 100 cheques amounting to a total sum of ₹15250. Then, the maximum possible number of cheques of ₹500 that the donation box may have contained,is
If \(c=\frac{16x}{y}+\frac{49y}{x} \)for some non-zero real numbers x and y,then c cannot take the value
If \((3+2\sqrt2)\) is a root of the equation ax2 + bx + c = 0 and \((4+2\sqrt3)\) is a root of the equation ay2 + my + n = 0,where a,b,c,m and n are integers, then the value of \((\frac{b}{m}+\frac{c−2b}{n})\) is
Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm, then, the area of the triangle EOD, in sq. cm, is
Bob can finish a job in 40 days,if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job.Suppose Alex and Bob work together on the first day,Bob and Cole work together on the second day,Cole and Alex work together on the third day and then,they continue the work by repeating this three-day roster,with Alex and Bob working together on the fourth day and so on.Then,the total number of days Alex would have worked when the job gets finished,is
A glass contains 500cc of milk and a cup contains 500cc of water.From the glass,150cc of milk is transferred to the cup and mixed thoroughly. Next,150cc of this mixture is transferred from the cup to the glass.Now,the amount of water in the glass and the amount of milk in the cup are in the ratio
Consider six distinct natural numbers such that the average of the two smallest numbers is 14 and the average of the two largest numbers is 28. Then,the maximum possible value of the average of these six numbers is
Let r be a real number and \(f(x) = \begin{cases} 2x - r & \text{if } x \geq r \\ r & \text{if } x < r \end{cases}\).Then, the equation \(f(x)=f(f(x))\) holds for all real values of x where
Two ships are approaching a port along straight routes at constant speeds. Initially,the two ships and the port formed an equilateral triangle with sides of length 24 km. When the slower ship travelled 8 km,the triangle formed by the new positions of the two ships and the port became right-angled. When the faster ship reaches the port, the distance,in km,between the other ship and the port will be
Nitu has an initial capital of ₹20,000.Out of this,she invests ₹8,000 at \(5.5\%\) in bank A,₹5,000 at \(5.6\%\) in bank B and the remaining amount at \(x\%\) in bank C,each rate being simple interest per annum.Her combined annual interest income from these investments is equal to \(5\%\) of the initial capital. If she had invested her entire initial capital in bank C alone,then her annual interest income,in rupees,would have been
The minimum possible value of \(\frac{x^2−6x+10}{3−x}\),for x<3,is
In an examination,the average marks of students in sections A and B are 32 and 60,respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer,then the difference between the maximum and minimum possible number of students in section A is
If\(\left(\frac{\sqrt{7}}{5}\right)^{3x - y} = \frac{875}{2401}\) and \(\left(\frac{4a}{b}\right)^{6x - y}\)\(=\left(\frac{2a}{b}\right)^{y - 6x}\), for all non-zero real values of a and b,then the value of x+y is
A group of N people worked on a project.They finished \(35\%\) of the project by working 7 hours a day for 10 days.Thereafter,10 people left the group and the remaining people finished the rest of the project in 14 days by working 10 hours a day.Then the value of N is
Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction.He takes 20 seconds to finish riding the escalator if he walks at twice his normal speed in the same direction.If Moody decides to stand still on the escalator,then the time,in seconds,needed to finish riding the escalator is
Suppose k is any integer such that the equation \(2x^2+kx+5=0\) has no real roots and the equation \(x^2+(k−5)x+1=0\) has two distinct real roots for x. Then, the number of possible values of k is
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is
The lengths of all four sides of a quadrilateral are integer valued.If three of its sides are of length 1cm,2cm and 4cm,then the total number of possible lengths of the fourth side is
Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction. If the speed of the slower car is 60km/hr, then the distance traveled, in km, by the slower car when it meets the other car while traveling towards each other, is
The average of all 3-digit terms in the arithmetic progression 38,55,72,...,is
What was the exam pattern for CAT 2022 QA Slot 3?
The QA section of CAT 2022 Slot 3 gave you 22 questions to attempt in 40 minutes, carrying a maximum of 66 marks. Around 8 of the 22 were non-MCQ TITA questions, and every question, whether MCQ or TITA, was worth 3 marks. Here is the exact scoring you faced.
- Total questions: 20 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 and -1 for a wrong answer
- Marking (TITA): +3 for a correct answer and 0 for a wrong answer (no negative marking on the 8 TITA questions)
- Question types: 14 MCQs with 4 options each plus about 8 TITA (Type In The Answer) questions, for a total of 22 questions
Which topics carried the most weight in CAT 2022 QA Slot 3?
As in Slot 1 and Slot 2, the QA section of Slot 3 was dominated by Arithmetic and Algebra, which together accounted for 13 of the 22 questions. Here is the approximate area-wise split so you know where to focus your revision.
- Arithmetic - 8 questions: the single largest area, with topics like Time-Speed-Distance and Mixtures and Alligations driving most of the 8 questions.
- Algebra - 5 questions: the second-heaviest area, covering equations, inequalities and functions across these 5 questions.
- Geometry and Mensuration - 4 questions: 4 questions testing standard geometry and mensuration concepts.
- Modern Maths - 3 questions: 3 questions from areas such as progressions and basic combinatorics.
- Number System - 2 questions: the lightest area, contributing just 2 of the 22 questions.
CAT 2022 QA Slot 3 original questions and solutions video
Source: ExamNest
How should you use this CAT 2022 QA Slot 3 paper?
QA in Slot 3 was the most difficult of the three slots (Slot 3 was tougher than Slot 2, which was tougher than Slot 1), so treat this paper as a timed selection drill rather than a question-by-question grind. The key was picking the right 13 or so questions to attempt out of 22.
- Solve the full paper in one 40-minute sitting to mirror the real sectional limit on all 22 questions.
- Aim to attempt about 13 questions with 85-90% accuracy, which was the benchmark for a strong score in this slot.
- Attempt all 8 TITA questions you are confident on first, since a wrong TITA answer costs you 0 marks.
- Prioritise the 8 Arithmetic and 5 Algebra questions, as these 13 questions made up the bulk of the easier scoring opportunities.
- After scoring, review every wrong answer against the detailed solution to fix the exact concept that cost you the mark.
What was a good score in CAT 2022 QA Slot 3?
- A score of 30 to 33 marks was ideal for a 99+ percentile in the QA section of Slot 3.
- An attempt of 12 to 15 questions with good accuracy was enough to fetch a 99 percentile in QA.
- Attempting around 13 of the 22 questions with 85-90% accuracy was the realistic target for top scorers.
QA Slot 3 Question Paper FAQs
Ques. How many questions were there in CAT 2022 QA Slot 3?
Ans. The Quantitative Aptitude section of CAT 2022 Slot 3 had 22 questions carrying 66 total marks, to be attempted within a 40-minute sectional time limit. About 8 of these 22 questions were TITA (Type In The Answer) questions.
Ques. What was the marking scheme for CAT 2022 QA Slot 3?
Ans. Every question was worth 3 marks. For the 14 MCQs you scored +3 for a correct answer and -1 for a wrong answer. For the roughly 8 TITA questions you scored +3 for a correct answer and 0 for a wrong answer, so there was no negative marking on TITA.
Ques. How difficult was CAT 2022 QA Slot 3?
Ans. QA in Slot 3 was lengthy and the most difficult of all 3 slots, with the difficulty order being Slot 3 above Slot 2 above Slot 1. Selecting the right 13 or so questions out of 22 to attempt was the key to scoring well.
Ques. Which topics dominated CAT 2022 QA Slot 3?
Ans. Arithmetic was the largest area with 8 questions, followed by Algebra with 5 questions. The remaining questions were 4 from Geometry and Mensuration, 3 from Modern Maths and 2 from Number System, adding up to all 22 questions.
Ques. What was a good score in CAT 2022 QA Slot 3?
Ans. A score of 30 to 33 marks was ideal for a 99+ percentile in the QA section of Slot 3. This typically meant attempting about 13 questions out of 22 with 85-90% accuracy, while an attempt of 12 to 15 questions with good accuracy could fetch a 99 percentile.
Ques. Who conducted CAT 2022 and where can you verify the details?
Ans. CAT 2022 was conducted by IIM Bangalore on November 27, 2022 across 3 slots. You can verify the official exam details on the conducting body's website at iimcat.ac.in.
*The article might have information for the previous academic years, please refer the official website of the exam.