CAT 2022 Slot 3 question paper with answers and solutions

CAT 2022 Slot 3 had 66 questions: 24 in VARC (40 minutes), 20 in DILR (40 minutes), 22 in QA (40 minutes). 17 of them were TITA (type in the answer, no options). 65 have a worked solution here. Every question is tagged by topic, and answers are CAT's official key.

Verbal Ability & Reading Comprehension (VARC) 24 questions · 40 min

QuestionTopic
Passage 1Q1–Q4 · As software improves, the people using it become less likely to…RC · Science & Technology4 questions
Passage 2Q5–Q8 · Nature has all along yielded her flesh to humans. First, we took…RC · Science & Technology4 questions
Passage 3Q9–Q12 · Interpretations of the Indian past . . . were inevitably influenced by…RC · Society, History & Politics4 questions
Passage 4Q13–Q16 · Sociologists working in the Chicago School tradition have focused on…RC · Society, History & Politics4 questions
Q17The four sentences (labelled 1, 2, 3 and 4) below, when…Para JumblesTITA
Q18Para Summary: All jokes target someone and one should be able…Para SummaryMCQ
Q19The four sentences (labelled 1, 2, 3 and 4) below, when…Para JumblesTITA
Q20Para Summary: Media has encouraged mass production; images are…Para SummaryMCQ
Q21Sentence Placement: Option 1Sentence PlacementMCQ
Q22Sentence Placement: Option 1Sentence PlacementMCQ
Q23Para Summary: While adoption of the written alphabet was…Para SummaryMCQ
Q24The four sentences (labelled 1, 2, 3 and 4) below, when…Para JumblesTITA

Data Interpretation & Logical Reasoning (DILR) 20 questions · 40 min

QuestionTopic
Set 1Q1–Q5 · All the first-year students in the computer science (CS) department in…Venn & Set Puzzles5 questions
Set 2Q6–Q10 · Pulak, Qasim, Ritesh, and Suresh participated in a tournament…Quant-based Puzzles5 questions
Set 3Q11–Q15 · In the following, a year corresponds to 1^st of January of that year…Charts & Tables5 questions
Set 4Q16–Q20 · There are only four neighbourhoods in a city - Levmisto, Tyhrmisto…Grids & Matrices5 questions

Quantitative Ability (QA) 22 questions · 40 min

QuestionTopic
Q1Suppose k is any integer such that the equation 2 x^2+k…EquationsMCQ
Q2The minimum possible value of (x^2-6 x+10)/(3-x) , for x3…Inequalities & ModulusMCQ
Q3Bob can finish a job in 40 days, if he works alone. Alex is…Time & WorkTITA
Q4A glass contains 500 cc of milk and a cup contains 500 cc of…Ratio, Mixtures & AveragesMCQ
Q5In an examination, the average marks of students in sections…Ratio, Mixtures & AveragesTITA
Q6Let r be a real number and f(x)=arraycl2 x-r & if x ≥ r r &…Functions & GraphsMCQ
Q7Suppose the medians BD and CE of a triangle ABC intersect at…GeometryTITA
Q8The arithmetic mean of all the distinct numbers that can be…Ratio, Mixtures & AveragesMCQ
Q9Nitu has an initial capital of ₹ 20,000 . Out of this, she…InterestMCQ
Q10Two cars travel from different locations at constant speeds…Time, Speed & DistanceMCQ
Q11If (√(7/5))^3 x-y=875/2401 and ((4 a)/b)^6 x-y=((2 a)/b)^y-6…Logarithms & ExponentsTITA
Q12Moody takes 30 seconds to finish riding an escalator if he…Time, Speed & DistanceTITA
Q13Consider six distinct natural numbers such that the average…Ratio, Mixtures & AveragesMCQ
Q14If (3+2 √(2)) is a root of the equation a x^2+b x+c=0 , and…EquationsMCQ
Q15If c=(16 x)/y+(49 y)/x for some non-zero real numbers x and…Inequalities & ModulusMCQ
Q16A group of N people worked on a project. They finished 35 %…Time & WorkMCQ
Q17The average of all 3-digit terms in the arithmetic…Progressions & SeriesTITA
Q18In a triangle ABC, AB=AC=8 cm . A circle drawn with BC as…GeometryMCQ
Q19A school has less than 5000 students and if the students are…Number SystemsTITA
Q20A donation box can receive only cheques of ₹100, ₹250, and…EquationsTITA
Q21Two ships are approaching a port along straight routes at…Time, Speed & DistanceMCQ
Q22The lengths of all four sides of a quadrilateral are integer…GeometryMCQ

Topic mix of CAT 2022 Slot 3

TopicSectionQuestions
RC · Science & TechnologyVARC8
RC · Society, History & PoliticsVARC8
Quant-based PuzzlesDILR7
Venn & Set PuzzlesDILR5
Charts & TablesDILR4
Grids & MatricesDILR4
Ratio, Mixtures & AveragesQA4
EquationsQA3
GeometryQA3
Para JumblesVARC3
Para SummaryVARC3
Time, Speed & DistanceQA3
Inequalities & ModulusQA2
Sentence PlacementVARC2
Time & WorkQA2
Functions & GraphsQA1
InterestQA1
Logarithms & ExponentsQA1
Number SystemsQA1
Progressions & SeriesQA1