The CAT 2022 QA Slot 1 question paper comes from the exam conducted by IIM Bangalore on November 27, 2022, in the morning session that ran from 8:30 AM to 10:30 AM. The Quantitative Aptitude section gave you 22 questions worth 66 marks, with a strict 40-minute sectional timer and roughly 8 Type In The Answer (TITA) questions.
| CAT 2022 QA Slot 1 Question Paper with Solutions | Download PDF | Check Solutions |
Most students rated this slot easy to moderate, mainly because Arithmetic dominated the paper with 8 of the 22 questions. Use the solved paper below to attempt all 22 questions, check every answer, and study the step-by-step explanations.
CAT 2022 Slot 1 QA Questions with Solutions
Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3:5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is
The largest real value of a for which the equation\( |x+a|+|x−1|=2\) has an infinite number of solutions for x is
The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n is
Let \(A\) be the largest positive integer that divides all the numbers of form \(3^k+4^k+5^k\), and \(B\) be the largest positive integer that divides all the numbers of the form \(4^k+3(4^k)+4^{k+2}\), where k is any positive integer. Then \((A+B)\) equals
In a village, the ratio of number of males to females is 5:4. The ratio of number of literate males to literate females is 2:3. The ratio of the number of illiterate males to illiterate females is 4:3. If 3600 males in the village are literate, then the total number of females in the village is
Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4), and (−2, 8), respectively. Then, the coordinates of the vertex D are
Alex invested his savings in two parts. The simple interest earned on the first part at 15% per annum for 4 years is the same as the simple interest earned on the second part at 12% per annum for 3 years. Then, the percentage of his savings invested in the first part is
The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is
A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is
Amal buys 110kg of syrup and 120kg of juice, syrup being 20% less costly than juice, per kg. He sells 10kg of syrup at 10% profit and 20kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg and makes an overall profit of 64%. Then, Amal's cost price for syrup, in rupees per kg, is
A trapezium ABCD has side AD parallel to BC, ∠BAD=90∘, BC=3 cm, and AD=8 cm. If the perimeter of this trapezium is 36 cm, then its area, in sq. cm, is
All the vertices of a rectangle lie on a circle of radius R. If the perimeter of the rectangle is P, then the area of the rectangle is
Let a,b,c be non-zero real numbers such that \(b^2<4ac\), and \(f(x)=ax^2+bx+c\). If the set S consists of all integers m such that \(f(m)<0\), then the set S must necessarily be
Let a and b be natural numbers. If \(a^2+ab+a=14\) and \(b^2+ab+b=28\), then (2a+b) equals
In a class of 100 students, 73 like coffee, 80 like tea, and 52 like lemonade. It may be possible that some students do not like any of these three drinks. Then the difference between the maximum and minimum possible number of students who like all the three drinks is
Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is
Ankita buys 4kg cashews, 14kg peanuts, and 6kg almonds when the cost of 7kg cashews is the same as that of 30kg peanuts or 9kg almonds. She mixes all three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent buying almonds is
For natural numbers x,y, and z, if xy+yz=19 and yz+xz=51, then the minimum possible value of xyz is
Let \(0≤a≤x≤100\) and f(x)=\(|x−a|+|x−100|+|x−a−50|\).Then the maximum value of f(x) becomes 100 when a is equal to
For any real number x, let [x] be the largest integer less than or equal to x. If \(\sum_{n=1}^N \left[ \frac{1}{5} + \frac{n}{25} \right] = 25\) then N is
For any natural number n,suppose the sum of the first n terms of an arithmetic progression is \((n+2n^2)\). If the \(n^{th}\) term of the progression is divisible by 9,then the smallest possible value of n is
The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd number of balloons, is
CAT 2022 QA Slot 1 Exam Pattern and Marking Scheme
The QA section of CAT 2022 Slot 1 carried 22 questions for a total of 66 marks, and you had to finish it within a locked 40-minute sectional window before the next section opened. Each question is worth 3 marks, so the marking is identical across both MCQ and TITA formats on the positive side.
- 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 and -1 for a wrong answer.
- Marking (TITA): +3 for a correct answer and 0 for a wrong answer (no negative marking).
- Question types: 14 MCQs (with 4 options each) and 8 TITA (Type In The Answer) questions, adding up to 22 questions.
CAT 2022 QA Slot 1 Topic-wise Weightage
Across the 22 questions, Arithmetic was the single largest area and the deciding factor for your score. Here is how the 22 questions were spread across the 5 broad QA areas so you know where to focus first.
- Arithmetic: 8 of 22 questions (about 36%), led by Averages, Mixtures and Alligations, Profit and Loss, and Time-Speed-Distance - the highest-yield area to attempt first.
- Algebra: 5 of 22 questions (about 23%), covering linear and quadratic equations, functions, and logarithms.
- Geometry and Mensuration: 3 of 22 questions (about 14%), including one question based on a trapezium.
- Modern Maths: 3 of 22 questions (about 14%), spanning topics like sequences, series, and basic combinatorics.
- Number System: 3 of 22 questions (about 14%), built around divisors, remainders, and properties of integers.
CAT 2022 QA Slot 1 Video Solution and Analysis
Source: MBA Wallah
How to Use the CAT 2022 QA Slot 1 Solved Paper
Treat this solved paper as a 40-minute mock first, then review. Attempt all 22 questions under the real sectional timer, mark the 8 Arithmetic questions as your first pass, and only then open the solutions to compare your method against the worked steps.
- Set a 40-minute timer and attempt all 22 questions in one sitting to mirror the real Slot 1 sectional limit.
- Clear the 8 Arithmetic questions first, since they made up about 36% of the section and were the easiest scoring zone.
- Remember the marking math: each wrong MCQ costs you 1 mark, so skip a guess unless you can eliminate at least 2 of the 4 options.
- Attempt every TITA question you reach, because all 8 TITA-style questions carry +3 with 0 penalty for a wrong answer.
- After scoring, re-solve any question that took you over 3 minutes using the alternate steps shown in the solution.
Good Attempts and Percentile Benchmark for QA Slot 1
- A good attempt for CAT 2022 QA Slot 1 was around 14 to 15 of the 22 questions with high accuracy.
- A QA raw score of 36 to 38 marks was enough to reach the 99+ percentile in this section.
- Clearing 14 to 15 accurate attempts kept you comfortably inside the 95+ percentile band for QA in this slot.
- With each question worth 3 marks, every additional correct answer moved your sectional score by a full 3 marks, so accuracy mattered more than raw speed.
QA Slot 1 Question Paper FAQs
Ques. How many questions were there in CAT 2022 QA Slot 1?
Ans. The QA section of CAT 2022 Slot 1 had 22 questions carrying 66 total marks. About 8 of these were TITA (Type In The Answer) questions and the remaining 14 were MCQs with 4 options each.
Ques. What was the difficulty level of CAT 2022 QA Slot 1?
Ans. Most students found CAT 2022 QA Slot 1 easy to moderate. Arithmetic alone contributed 8 of the 22 questions, which made the section more approachable than a typical heavily Algebra-loaded paper.
Ques. What is a good score and good attempts for CAT 2022 QA Slot 1?
Ans. A good attempt was around 14 to 15 of the 22 questions with high accuracy. A QA raw score of 36 to 38 marks was enough to fetch a 99+ percentile in this section.
Ques. What is the marking scheme for CAT 2022 QA Slot 1?
Ans. Every question carries 3 marks. For MCQs you get +3 for a correct answer and -1 for a wrong answer, while the 8 TITA questions give +3 for a correct answer and 0 for a wrong answer, with no negative marking.
Ques. How much time was given for the QA section in CAT 2022 Slot 1?
Ans. You got 40 minutes for the QA section, locked as a sectional timer. You could not move back to QA after the 40 minutes ended or jump ahead to it early, since CAT 2022 followed a strict 3-section, 40-minute-per-section format.
Ques. Who conducted CAT 2022 and where can I verify the official details?
Ans. CAT 2022 was conducted by IIM Bangalore on November 27, 2022, across 3 slots. You can verify the official pattern, dates, and notifications on the conducting body's website at iimcat.ac.in.
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