ThinkCAT Logo
ThinkCAT
Sign up
QuestionsMocksResourcesAnalytics
CAT 2022 Master QA Archive• Convenor Master Key Verified

CAT 2022 QA Questions: Slot 1, 2 & 3

All CAT 2022 Quantitative Aptitude questions from Slot 1, 2 & 3 with answer keys and solutions. Jump to a slot below.

66 Total Questions
MCQ: 41 (+3 / -1)
TITA: 25 (0 Negative Penalty)
Launch CAT 2022 QA Timed Practice MockSolve Questions on this Page

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 1 November 2026
Verified Questions
66 Qs
41 MCQ + 25 TITA
99%ile Score Benchmark
28–31 Marks (out of 66 in QA, ~10 net correct questions)
Scoring Scheme
+3 / -1 / 0
Zero penalty on TITA
Testing Interface
TCS iON CBT
On-Screen Calc Enabled
IIM Exam Strategy & Score Maximization Directives
1Prioritize high-yield arithmetic & algebra questions first to secure the 85th percentile sectional cutoff in the first 20 minutes.
2TITA questions carry zero negative penalty (0 marks for wrong answers); attempt all TITA questions before the sectional timer runs out.
3Use the on-screen digital calculator only for complex 3-digit divisions; mental math approximations save 35–45 seconds per question.
Share this dataset with study groups:
WhatsAppTelegram
Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)
Exam Hall Replica

Attempt under official TCS iON 40-Min countdown timer

Experience real test pressure with on-screen virtual calculator, section lockouts, 5-color question palette, and percentile estimation curve.

Launch Mock Simulator

Official Exam Questions & Explanations (25 of 66)

Sorted in official convenor sequence
Question 1 of 66
CAT 2022 Slot 1QANumber Systems • HCF/LCMModerate
Let A be the largest positive integer that divides all the numbers of the form 3k+4k+5k3^k + 4^k + 5^k , and B be the largest positive integer that divides all the numbers of the form 4k+3(4k)+4k+24^k + 3(4^k) + 4^{k + 2} , where k is any positive integer. Then (A + B) equals
TITA Answer:
Practice More Questions
Question 2 of 66
CAT 2022 Slot 1QAAlgebra • Minima & MaximaModerate
For natural numbers x,y,andx , y , andz , if xy+yz=19xy + yz = 19 and yz+xz=51,thentheminimumpossiblevalueofyz + xz = 51 , then the minimum possible value ofxyz$ is
TITA Answer:
Practice More Questions
Question 3 of 66
CAT 2022 Slot 1QAArithmetic • Simple & Compound InterestEasy
Alex invested his savings in two parts. The simple interest earned on the first part at 15%15 \% per annum for 4 years is the same as the simple interest earned on the second part at 12%12 \% per annum for 3 years. Then, the percentage of his savings invested in the first part is
Practice More Questions
Question 4 of 66
CAT 2022 Slot 1QAAlgebra • Linear EquationModerate
Let a and b be natural number. If a2+ab+a=14a^2 + ab + a = 14 and b2+ab+b=28b^2 + ab + b = 28 , then (2a+b)(2a + b) equals
TITA Answer:
Practice More Questions
Question 5 of 66
CAT 2022 Slot 1QAModern Math • Set TheoryHard
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
Practice More Questions
Question 6 of 66
CAT 2022 Slot 1QAArithmetic • Mixture & AlligationEasy
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 1:31: 3 , then the ratio of lemon juice and sugar syrup in the new mixture is
Practice More Questions
Question 7 of 66
CAT 2022 Slot 1QAAlgebra • PolynomialsModerate
Let a,b,ca, b, c be non-zero real numbers such that b2<4acb^2 < 4ac , and f(x)=ax2+bx+cf(x) = ax^2 + bx + c. If the set S consists of all integers m such that f(m)<0f(m) < 0 , then the set S must necessarily
Practice More Questions
Question 8 of 66
CAT 2022 Slot 1QAArithmetic • Profit & LossHard
Amal buys 110 kg110 \mathrm{~kg} of syrup and 120 kg120 \mathrm{~kg} of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg10 \mathrm{~kg} of syrup at 10% profit and 20 kg20 \mathrm{~kg} of juice at 20%20 \% profit. Mixing the remaining juice and syrup, Amal sells the mixture at Rs. 308.32308.32 per kg and makes an overall profit of 64%64 \%. Then, Amal's cost price for syrup, in rupees per kg, is
TITA Answer:
Practice More Questions
Question 9 of 66
CAT 2022 Slot 1QAArithmetic • Ratio, Proportion & VariationHard
In a village, the ratio of number of males to females is 5:45: 4. The ratio of number of literate males to literate females is 2:32 : 3. The ratio of the number of illiterate males to illiterate females is 4:34: 3. If 3600 males in the village are literate, then the total number of females in the village is
TITA Answer:
Practice More Questions
Question 10 of 66
CAT 2022 Slot 1QAGeometry • CirclesModerate
All the vertices of a rectangle lie on a circle of radius RR. If the perimeter of the rectangle is PP , then the area of the rectangle is
Practice More Questions
Question 11 of 66
CAT 2022 Slot 1QAGeometry • QuadrilateralsEasy
Let ABCDABCD be a parallelogram such that the coordinates of its three vertices A,B,CA, B, C are (1,1),(3,4)(1, 1), (3, 4) and (−2,8)(-2, 8) , respectively. Then, the coordinates of the vertex DD are
Practice More Questions
Question 12 of 66
CAT 2022 Slot 1QAAlgebra • ModulusModerate
The largest real value of a for which the equation ∣x+a∣+∣x−1∣=2|x + a| + |x - 1| = 2 has an infinite number of solutions for xx is
Practice More Questions
Question 13 of 66
CAT 2022 Slot 1QAModern Math • Permutation & CombinationModerate
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
TITA Answer:
Practice More Questions
Question 14 of 66
CAT 2022 Slot 1QAAlgebra • Progression & SeriesModerate
For any natural number n, suppose the sum of the first n terms of an arithmetic progression is (n+2n2)(n + 2n^2). If the nthn^{th} term of the progression is divisible by 99 , then the smallest possible value of nn is
Practice More Questions
Question 15 of 66
CAT 2022 Slot 1QAGeometry • QuadrilateralsModerate
A trapezium ABCDABCD has side ADAD parallel to BC,∠BC , \angleBAD = 90° , BC=3BC = 3cm and AD=8AD = 8cm. If the perimeter of this trapezium is 36 cm, then its area, in sq. cm, is
TITA Answer:
Practice More Questions
Question 16 of 66
CAT 2022 Slot 1QAAlgebra • ModulusModerate
Let 0≤a≤x≤1000 \leq a \leq x \leq 100 and f(x)=∣x−a∣+∣x−100∣+∣x−a−50∣f(x)=|x-a|+|x-100|+|x-a-50|. Then the maximum value of f(x)f(x) becomes 100 when aa is equal to
Practice More Questions
Question 17 of 66
CAT 2022 Slot 1QAArithmetic • Mean, Median & ModeModerate
The average of three integers is 1313. When a natural number nn is included, the average of these four integers remains an odd integer. The minimum possible value of nn is
Practice More Questions
Question 18 of 66
CAT 2022 Slot 1QAAlgebra • FunctionsModerate
For any real number x, let [x] be the largest integer less than or equal to x. If ∑n=1N\sum_{n=1}^{N} [15+n25\frac{1}{5} + \frac{n}{25}] = 2525 then N is
TITA Answer:
Practice More Questions
Question 19 of 66
CAT 2022 Slot 1QAArithmetic • Profit & LossHard
Ankita buys 4 kg4 \mathrm{~kg} cashews, 14 kg14 \mathrm{~kg} peanuts and 6 kg6 \mathrm{~kg} almonds when the cost of 7 kg7 \mathrm{~kg} cashews is the same as that of 30 kg30 \mathrm{~kg} peanuts or 9 kg9 \mathrm{~kg} almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of Rs.1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20%20 \% discount on the marked price, thus making a total profit of Rs.
744
Then the amount, in rupees, that she had spent in buying almonds is
Practice More Questions
Question 20 of 66
CAT 2022 Slot 1QAArithmetic • Mean, Median & ModeEasy
The average weight of students in a class increases by 600gm 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
Practice More Questions
Question 21 of 66
CAT 2022 Slot 1QAArithmetic • Ratio, Proportion & VariationEasy
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 3:53: 5. If the total number of persons in the queue is less than 300300 , then the maximum possible number of persons standing ahead of Pinky is
TITA Answer:
Practice More Questions
Question 22 of 66
CAT 2022 Slot 1QAArithmetic • Time, Speed & DistanceHard
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 BB to travel from station YY to station XX is
Practice More Questions
Question 23 of 66
CAT 2022 Slot 2QAAlgebra • PolynomialsModerate
Let f(x)f(x) be quadratic polynomial in xx such that f(x)≥0f(x) \geq 0 for all real numbers xx. if f(2)=0f(2)=0 and f(4)=6f(4)=6 , then f(−2)f(-2) is equal to
Practice More Questions
Question 24 of 66
CAT 2022 Slot 2QAAlgebra • IndicesHard
The number of integer solutions of the equation (x2−10)(x2−3x−10)=1\left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1 is
TITA Answer:
Practice More Questions
Question 25 of 66
CAT 2022 Slot 2QAArithmetic • Mean, Median & ModeEasy
Manu earns Rs. 4000 per month and wants to save an average of Rs. 550 per month in a year. In the first nine months, his monthly expense was Rs. 35003500 , and he foresees that, tenth month onward, his monthly expense will increase to Rs. 37003700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should
Practice More Questions
+41 More Verified Questions Available

Practice the complete collection of 66 questions in our interactive CBT practice interface with personal progress tracking.

Practice All 66 Questions in CBT Mode
ThinkCAT Pro Season PassFull Exam Access

Unlock All 24 Full-Length Official Mocks & 6,000+ Questions

Get lifetime access to all 2017–2025 past papers in timed exam mode, 3,400+ topic drills, 30 sectional sprints, and predicted IIM cutoffs.

Unlock Full Access

Frequently Asked Questions about CAT 2022 QA Questions: Slot 1, 2 & 3

How many total QA questions were asked across all slots in CAT 2022?

Across all 3 slots in CAT 2022, there were 66 official QA questions tested (22 per slot).

Which topics dominated QA in CAT 2022?

In QA, key recurring topics included Arithmetic (TSD, Work, Profit-Loss) and Algebra (Equations, Logarithms).

Related CAT Papers & Topic Mastery Hubs

Explore other slots, sections, and high-weightage topic collections

View Full Archive
Slot 1 QA

CAT 2022 Slot 1 QA

Slot 2 QA

CAT 2022 Slot 2 QA

Slot 3 QA

CAT 2022 Slot 3 QA

VARC Archive

CAT 2022 VARC Master Hub

DILR Archive

CAT 2022 DILR Master Hub

Topics in these papers

CAT Algebra PYQs 24 QsCAT Arithmetic PYQs 24 QsCAT Geometry PYQs 10 QsCAT Modern Math PYQs 5 QsCAT Polynomials & Roots of Equations Questions 5 QsCAT Time, Speed & Distance (TSD) Questions 4 Qs