CAT 2022 Slot 1 question paper with answers and solutions

CAT 2022 Slot 1 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). 66 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 · The Chinese have two different concepts of a copy. Fangzhipin…RC · Arts & Culture4 questions
Passage 2Q5–Q8 · Stoicism was founded in 300 BC by the Greek philosopher Zeno and…RC · Humanities & Philosophy4 questions
Passage 3Q9–Q12 · Critical theory of technology is a political theory of modernity with…RC · Humanities & Philosophy4 questions
Passage 4Q13–Q16 · Stories concerning the Undead have always been with us. From out of…RC · Arts & Culture4 questions
Q17Para Summary: Petitioning has been important to democratic…Para SummaryMCQ
Q18Para Summary: Arbitrary distinctions between inanimate and…Para SummaryMCQ
Q19The four sentences (labelled 1, 2, 3 and 4) below, when…Para JumblesTITA
Q20Sentence Placement: Option 1Sentence PlacementMCQ
Q21The four sentences (labelled 1, 2, 3 and 4) below, when…Para JumblesTITA
Q22Sentence Placement: Option 1Sentence PlacementMCQ
Q23Para Summary: Medieval historical sources selectively promoted…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 · There are 15 girls and some boys among the graduating students in a…Venn & Set Puzzles5 questions
Set 2Q6–Q10 · Given above is the schematic map of the metro lines in a city with…Routes & Networks5 questions
Set 3Q11–Q15 · The management of a university hockey team was evaluating performance…Quant-based Puzzles5 questions
Set 4Q16–Q20 · Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the…Quant-based Puzzles5 questions

Quantitative Ability (QA) 22 questions · 40 min

QuestionTopic
Q1Let ABCD be a parallelogram such that the coordinates of its…Coordinate GeometryMCQ
Q2The number of ways of distributing 20 identical balloons…Permutations & ProbabilityTITA
Q3A mixture contains lemon juice and sugar syrup in equal…Ratio, Mixtures & AveragesMCQ
Q4For natural numbers x, y , and z , if x y+y z=19 and y z+x…Number SystemsTITA
Q5Let a, b, c be non-zero real numbers such that b^2 4 a c…EquationsMCQ
Q6Trains A and B start traveling at the same time towards each…Time, Speed & DistanceMCQ
Q7The average of three integers is 13 . When a natural number…Ratio, Mixtures & AveragesMCQ
Q8Pinky is standing in a queue at a ticket counter. Suppose…Ratio, Mixtures & AveragesTITA
Q9Ankita buys 4 kg cashews, 14 kg peanuts and 6 kg almonds…Percentages & Profit-LossMCQ
Q10The largest real value of a for which the equation…Inequalities & ModulusMCQ
Q11A trapezium ABCD has side AD parallel to BC, BAD=90^, BC=3…GeometryTITA
Q12For any real number x , let [x] be the largest integer less…Number SystemsTITA
Q13In a village, the ratio of number of males to females is 5…Ratio, Mixtures & AveragesTITA
Q14Amal buys 110 kg of syrup and 120 kg of juice, syrup being…Ratio, Mixtures & AveragesTITA
Q15Let a and b be natural numbers. If a^2+a b+a=14 and b^2+a…EquationsMCQ
Q16Alex invested his savings in two parts. The simple interest…InterestMCQ
Q17In a class of 100 students, 73 like coffee, 80 like tea and…Set TheoryMCQ
Q18For any natural number n , suppose the sum of the first n…Progressions & SeriesMCQ
Q19All the vertices of a rectangle lie on a circle of radius R…GeometryMCQ
Q20The average weight of students in a class increases by 600…Ratio, Mixtures & AveragesMCQ
Q21Let A be the largest positive integer that divides all the…Number SystemsTITA
Q22Let 0 ≤ a ≤ x ≤ 100 and f(x)=|x-a|+|x-100|+|x-a-50| . Then…Inequalities & ModulusMCQ

Topic mix of CAT 2022 Slot 1

TopicSectionQuestions
Quant-based PuzzlesDILR10
RC · Arts & CultureVARC8
RC · Humanities & PhilosophyVARC8
Ratio, Mixtures & AveragesQA6
Routes & NetworksDILR5
Venn & Set PuzzlesDILR5
Number SystemsQA3
Para JumblesVARC3
Para SummaryVARC3
EquationsQA2
GeometryQA2
Inequalities & ModulusQA2
Sentence PlacementVARC2
Coordinate GeometryQA1
InterestQA1
Percentages & Profit-LossQA1
Permutations & ProbabilityQA1
Progressions & SeriesQA1
Set TheoryQA1
Time, Speed & DistanceQA1