CAT 2018 Slot 2 question paper with answers and solutions

CAT 2018 Slot 2 had 100 questions: 34 in VARC (60 minutes), 32 in DILR (60 minutes), 34 in QA (60 minutes). 27 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 · Will a day come when India’s poor can access government services as…RC · Society, History & Politics5 questions
Passage 2Q6–Q9 · Grove snails as a whole are distributed all over Europe, but a…RC · Science & Technology4 questions
Passage 3Q10–Q14 · The complexity of modern problems often precludes any one person from…RC · Science & Technology5 questions
Passage 4Q15–Q19 · More and more companies, government agencies, educational institutions…RC · Economics & Business5 questions
Passage 5Q20–Q24 · NOT everything looks lovelier the longer and closer its inspection…RC · Science & Technology5 questions
Passage 6Q29–Q31 · Choose the option that best captures the author's positionRC · Society, History & Politics3 questions
Q251. It was his taxpayers who had to shell out as much as…Para JumblesTITA
Q261. Self-management is thus defined as the ‘individual’s…Para JumblesTITA
Q271. They would rather do virtuous side projects assiduously…Para JumblesTITA
Q281. In the era of smart world, however, ‘Universal Basic…Para JumblesTITA
Q321. As India looks to increase the number of cities, our…Para JumblesTITA
Q331. Much has been recently discovered about the development…Para JumblesTITA
Q341. Our smartphones can now track our diets, our biological…Para JumblesTITA

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

QuestionTopic
Set 1Q1–Q4 · An agency entrusted to accredit colleges looks at four parameters…Quant-based Puzzles4 questions
Set 2Q5–Q8 · There are only four brands of entry level smartphones called Azra…Charts & Tables4 questions
Set 3Q9–Q12 · Fun Sports (FS) provides training in three sports - Gilli-danda (G)…Venn & Set Puzzles4 questions
Set 4Q13–Q16 · Each of the 23 boxes in the picture below represents a product…Quant-based Puzzles4 questions
Set 5Q17–Q20 · Each visitor to an amusement park needs to buy a ticket. Tickets can…Venn & Set Puzzles4 questions
Set 6Q21–Q24 · Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and…Arrangements4 questions
Set 7Q25–Q28 · According to a coding scheme the sentence, Peacock is designated as…Grids & Matrices4 questions
Set 8Q29–Q32 · The base exchange rate of a currency X with respect to a currency Y is…Quant-based Puzzles4 questions

Quantitative Ability (QA) 34 questions · 60 min

QuestionTopic
Q1Points A, P, Q and B lie on the same line such that P, Q and…Time, Speed & DistanceMCQ
Q2Let a_1, a_2, ... , a_52 be positive integers such that a_1…Inequalities & ModulusMCQ
Q3There are two drums, each containing a mixture of paints A…Ratio, Mixtures & AveragesMCQ
Q4On a triangle ABC, a circle with diameter BC is drawn…GeometryTITA
Q5Let t_1, t_2,… be real numbers such that t_1+ t_2 +... + t_n…Progressions & SeriesTITA
Q6From a rectangle ABCD of area 768 sq cm, a semicircular part…MensurationMCQ
Q7If N and x are positive integers such that N^N = 2^160 and…Number SystemsTITA
Q8A chord of length 5 cm subtends an angle of 60° at the…GeometryMCQ
Q9If p^3 = q^4 = r^5 = s^6, then the value of log_s (pqr) is…Logarithms & ExponentsMCQ
Q10In a tournament, there are 43 junior level and 51 senior…Permutations & ProbabilityTITA
Q11A 20% ethanol solution is mixed with another ethanol…Ratio, Mixtures & AveragesMCQ
Q12The area of a rectangle and the square of its perimeter are…MensurationMCQ
Q13The smallest integer n for which 4^n ＞ 17^19 holds, is…Inequalities & ModulusMCQ
Q14The smallest integer n such that n^3 - 11n^2 + 32n - 28 ＞ 0…Inequalities & ModulusTITA
Q15A parallelogram ABCD has area 48 sqcm. If the length of CD…GeometryMCQ
Q16The value of the sum 7 x 11 + 11 x 15 + 15 x 19 + ..... + 95…Progressions & SeriesMCQ
Q17On a long stretch of east-west road, A and B are two points…Time, Speed & DistanceTITA
Q18If the sum of squares of two numbers is 97, then which one…Inequalities & ModulusMCQ
Q19A jar contains a mixture of 175 ml water and 700 ml alcohol…Ratio, Mixtures & AveragesMCQ
Q20Points A and B are 150 km apart. Cars 1 and 2 travel from A…Time, Speed & DistanceTITA
Q21A tank is emptied everyday at a fixed time point…Time & WorkMCQ
Q22Ramesh and Ganesh can together complete a work in 16 days…Time & WorkMCQ
Q23If a and b are integers such that 2x^2 − ax + 2 ＞ 0 and x^2…Inequalities & ModulusTITA
Q24The scores of Amal and Bimal in an examination are in the…Ratio, Mixtures & AveragesMCQ
Q25A triangle ABC has area 32 sq units and its side BC, of…Coordinate GeometryMCQ
Q26How many two-digit numbers, with a non-zero digit in the…Number SystemsMCQ
Q27A water tank has inlets of two types A and B. All inlets of…Time & WorkTITA
Q28Gopal borrows Rs. X from Ankit at 8% annual interest. He…InterestTITA
Q29The arithmetic mean of x, y and z is 80, and that of x, y…Ratio, Mixtures & AveragesTITA
Q30Let f(x)=max5x, 52 - 2x^2, where x is any positive real…Functions & GraphsTITA
Q31For two sets A and B, let AΔB denote the set of elements…Set TheoryMCQ
Q32If A = 6^2n - 35n - 1: n = 1,2,3,... and B = 35(n-1) : n =…Set TheoryMCQ
Q33Ratio, Mixtures & Averages: 3 : 10Ratio, Mixtures & AveragesMCQ
Q341log_2100 - 1log_4100 + 1log_5100 - 1log_10100 + 1log_20100…Logarithms & ExponentsMCQ

Topic mix of CAT 2018 Slot 2

TopicSectionQuestions
RC · Science & TechnologyVARC14
Quant-based PuzzlesDILR12
RC · Society, History & PoliticsVARC8
Venn & Set PuzzlesDILR8
Para JumblesVARC7
Ratio, Mixtures & AveragesQA6
Inequalities & ModulusQA5
RC · Economics & BusinessVARC5
ArrangementsDILR4
Charts & TablesDILR4
Grids & MatricesDILR4
GeometryQA3
Time & WorkQA3
Time, Speed & DistanceQA3
Logarithms & ExponentsQA2
MensurationQA2
Number SystemsQA2
Progressions & SeriesQA2
Set TheoryQA2
Coordinate GeometryQA1
Functions & GraphsQA1
InterestQA1
Permutations & ProbabilityQA1