CAT 2019 Slot 2 question paper with answers and solutions

CAT 2019 Slot 2 had 100 questions: 34 in VARC (60 minutes), 32 in DILR (60 minutes), 34 in QA (60 minutes). 26 of them were TITA (type in the answer, no options). Every question is tagged by topic, and answers are CAT's official key.

Verbal Ability & Reading Comprehension (VARC) 34 questions · 60 min

QuestionTopic
Passage 1Q1–Q5 · Around the world, capital cities are disgorging bureaucrats. In the…RC · Society, History & Politics5 questions
Passage 2Q6–Q10 · War, natural disasters and climate change are destroying some of the…RC · Society, History & Politics5 questions
Passage 3Q11–Q15 · The magic of squatter cities is that they are improved steadily and…RC · Science & Technology5 questions
Passage 4Q16–Q19 · For two years, I tracked down dozens of . . . Chinese in Upper Egypt…RC · Society, History & Politics4 questions
Passage 5Q20–Q24 · British colonial policy . . . went through two policy phases, or at…RC · Society, History & Politics5 questions
Passage 6Q29–Q31 · The passage given below is followed by four alternate summaries…RC · Society, History & Politics3 questions
Q251. Conceptualisations of ‘women’s time’ as contrary to…Para JumblesTITA
Q261. Living things—animals and plants—typically exhibit…Para JumblesTITA
Q271. To the uninitiated listener, atonal music can sound like…Para JumblesTITA
Q281. Such a belief in the harmony of nature requires a purpose…Para JumblesTITA
Q321. A particularly interesting example of inference occurs in…Para JumblesTITA
Q331. Socrates told us that ‘the unexamined life is not worth…Para JumblesTITA
Q341. Ocean plastic is problematic for a number of reasons, but…Para JumblesTITA

Data Interpretation & Logical Reasoning (DILR) 32 questions · 60 min

QuestionTopic
Set 1Q1–Q4 · In the table below the check marks indicate all languages spoken by…Selection & Distribution4 questions
Set 2Q5–Q8 · To compare the rainfall data, India Meteorological Department (IMD)…Charts & Tables4 questions
Set 3Q9–Q12 · Students in a college are discussing two proposals -- A: a proposal by…Venn & Set Puzzles4 questions
Set 4Q13–Q16 · Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular…Scheduling4 questions
Set 5Q17–Q20 · Three pouches (each represented by a filled circle) are kept in each…Grids & Matrices4 questions
Set 6Q21–Q24 · The first year students in a business school are split into six…Arrangements4 questions
Set 7Q25–Q28 · Ten players, as listed in the table below, participated in a rifle…Games & Tournaments4 questions
Set 8Q29–Q32 · A large store has only three departments, Clothing, Produce, and…Charts & Tables4 questions

Quantitative Ability (QA) 34 questions · 60 min

QuestionTopic
Q1The real root of the equation 2^6x + 2^3x+2 - 21 = 0 isLogarithms & ExponentsMCQ
Q2The average of 30 integers is 5. Among these 30 integers…Ratio, Mixtures & AveragesMCQ
Q3Let a, b, x, y be real numbers such that a^2 + b^2 = 25…EquationsMCQ
Q4In a triangle ABC, medians AD and BE are perpendicular to…GeometryMCQ
Q5Let a_1 , a_2 be integers such that a_1 - a_2 + a_3 - a_4 +…Progressions & SeriesMCQ
Q6How many factors of 2^4 × 3^5 × 10^4 are perfect squares…Number SystemsTITA
Q7Two circles, each of radius 4 cm, touch externally. Each of…GeometryMCQ
Q8What is the largest positive integer such that…Number SystemsMCQ
Q9In 2010, a library contained a total of 11500 books in two…Percentages & Profit-LossMCQ
Q10Let f be a function such that f (mn) = f (m) f (n) for every…Functions & GraphsTITA
Q11Let A and B be two regular polygons having a and b sides…GeometryTITA
Q12A cyclist leaves A at 10 am and reaches B at 11 am. Starting…Time, Speed & DistanceMCQ
Q13Let A be a real number. Then the roots of the equation x^2…EquationsMCQ
Q14John jogs on track A at 6 kmph and Mary jogs on track B at…Time, Speed & DistanceTITA
Q15Anil alone can do a job in 20 days while Sunil alone can do…Time & WorkMCQ
Q16In an examination, Rama's score was one-twelfth of the sum…Ratio, Mixtures & AveragesMCQ
Q17In an examination, the score of A was 10% less than that of…Percentages & Profit-LossTITA
Q18The base of a regular pyramid is a square and each of the…MensurationMCQ
Q19If x is a real number ,then log_e(4x - x^2)/3 is a real…Logarithms & ExponentsMCQ
Q20Let ABC be a right-angled triangle with hypotenuse BC of…GeometryMCQ
Q21Two ants A and B start from a point P on a circle at the…Time, Speed & DistanceMCQ
Q22How many pairs (m,n) of positive integers satisfy the…Number SystemsTITA
Q23The salaries of Ramesh, Ganesh and Rajesh were in the ratio…Ratio, Mixtures & AveragesMCQ
Q24A man makes complete use of 405 cc of iron, 783 cc of…MensurationMCQ
Q25The quadratic equation x^2 + bx + c = 0 has two roots 4a and…EquationsMCQ
Q26In a six-digit number, the sixth, that is, the rightmost…Number SystemsTITA
Q27Mukesh purchased 10 bicycles in 2017, all at the same price…Percentages & Profit-LossMCQ
Q28The number of common terms in the two sequences: 15, 19, 23…Progressions & SeriesMCQ
Q29If (2n+1) + (2n+3) + (2n+5) + ... + (2n+47) = 5280 , then…Progressions & SeriesTITA
Q30Ratio, Mixtures & Averages: 15Ratio, Mixtures & AveragesMCQ
Q31If 5^x - 3^y = 13438 and 5^x-1 + 3^y+1 = 9686 , then x+y…EquationsTITA
Q32Amal invests Rs 12000 at 8% interest, compounded annually…InterestTITA
Q33A shopkeeper sells two tables, each procured at cost price…Percentages & Profit-LossMCQ
Q34John gets Rs 57 per hour of regular work and Rs 114 per hour…EquationsTITA

Topic mix of CAT 2019 Slot 2

TopicSectionQuestions
RC · Society, History & PoliticsVARC22
Charts & TablesDILR8
Para JumblesVARC7
EquationsQA5
RC · Science & TechnologyVARC5
ArrangementsDILR4
Games & TournamentsDILR4
GeometryQA4
Grids & MatricesDILR4
Number SystemsQA4
Percentages & Profit-LossQA4
Ratio, Mixtures & AveragesQA4
SchedulingDILR4
Selection & DistributionDILR4
Venn & Set PuzzlesDILR4
Progressions & SeriesQA3
Time, Speed & DistanceQA3
Logarithms & ExponentsQA2
MensurationQA2
Functions & GraphsQA1
InterestQA1
Time & WorkQA1