CAT 2020 Slot 3 question paper with answers and solutions

CAT 2020 Slot 3 had 76 questions: 26 in VARC (40 minutes), 24 in DILR (40 minutes), 26 in QA (40 minutes). 19 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) 26 questions · 40 min

QuestionTopic
Passage 1Q1–Q5 · Mode of transportation affects the travel experience and thus can…RC · Society, History & Politics5 questions
Passage 2Q6–Q9 · Although one of the most contested concepts in political philosophy…RC · Society, History & Politics4 questions
Passage 3Q10–Q13 · [There is] a curious new reality: Human contact is becoming a luxury…RC · Society, History & Politics4 questions
Passage 4Q14–Q18 · I’ve been following the economic crisis for more than two years now. I…RC · Economics & Business5 questions
Q19Para Summary: Genetic theory has a wide range of theoretical…Para SummaryMCQ
Q20The four sentences (labelled 1, 2, 3, 4) below, when…Para JumblesTITA
Q21Para Summary: Disinterestedness is different from indifference…Para SummaryMCQ
Q22The four sentences (labelled 1, 2, 3, 4) below, when…Para JumblesTITA
Q23Five jumbled up sentences, related to a topic, are given…Odd Sentence OutTITA
Q24Para Summary: From the belief that humans invented language to…Para SummaryMCQ
Q25The four sentences (labelled 1, 2, 3, 4) below, when…Para JumblesTITA
Q26Five jumbled up sentences, related to a topic, are given…Odd Sentence OutTITA

Data Interpretation & Logical Reasoning (DILR) 24 questions · 40 min

QuestionTopic
Set 1Q1–Q6 · A farmer had a rectangular land containing 205 trees. He distributed…Grids & Matrices6 questions
Set 2Q7–Q12 · The Hi-Lo game is a four-player game played in six rounds. In every…Games & Tournaments6 questions
Set 3Q13–Q16 · XYZ organization got into the business of delivering groceries to home…Charts & Tables4 questions
Set 4Q17–Q20 · A survey of 600 schools in India was conducted to gather information…Venn & Set Puzzles4 questions
Set 5Q21–Q24 · Sixteen patients in a hospital must undergo a blood test for a…Venn & Set Puzzles4 questions

Quantitative Ability (QA) 26 questions · 40 min

QuestionTopic
Q1If x_1 = -1 and x_m = x_m + 1 + (m + 1) for every positive…Progressions & SeriesMCQ
Q2Let N, x and y be positive integers such that N = x + y, 2…Number SystemsTITA
Q3Let log_a30 = A, log_a 5/3 = -B and log_2a = 1/3 , then…Logarithms & ExponentsMCQ
Q4A contractor agreed to construct a 6 km road in 200 days. He…Time & WorkTITA
Q5The area, in sq. units, enclosed by the lines x = 2, y = |x…Coordinate GeometryMCQ
Q6Dick is thrice as old as Tom and Harry is twice as old as…Ratio, Mixtures & AveragesTITA
Q7How many of the integers 1, 2, … , 120, are divisible by…Number SystemsMCQ
Q8In the final examination, Bishnu scored 52% and Asha scored…Percentages & Profit-LossMCQ
Q9If f(x+y) = f(x)f(y) and f(5) = 4, then f(10) - f(-10) is…Functions & GraphsMCQ
Q102×4×8×16(log_24)^2(log_48)^3(log_816)^4 equalsLogarithms & ExponentsTITA
Q11If a,b,c are non-zero and 14^a = 36^b = 84^c, then 6b( 1/c…Ratio, Mixtures & AveragesTITA
Q12Let m and n be natural numbers such that n is even and 0.2 <…Inequalities & ModulusMCQ
Q13Anil, Sunil, and Ravi run along a circular path of length 3…Time, Speed & DistanceMCQ
Q14A man buys 35 kg of sugar and sets a marked price in order…Percentages & Profit-LossMCQ
Q15Let k be a constant. The equations kx + y = 3 and 4x + ky =…EquationsMCQ
Q16How many integers in the set 100, 101, 102, ..., 999 have at…Permutations & ProbabilityTITA
Q17A batsman played n + 2 innings and got out on all occasions…Ratio, Mixtures & AveragesMCQ
Q18Two alcohol solutions, A and B, are mixed in the proportion…Ratio, Mixtures & AveragesMCQ
Q19The vertices of a triangle are (0,0), (4,0) and (3,9). The…Coordinate GeometryMCQ
Q20A person invested a certain amount of money at 10% annual…InterestTITA
Q21A and B are two railway stations 90 km apart. A train leaves…Time, Speed & DistanceMCQ
Q22Vimla starts for office every day at 9 am and reaches…Time, Speed & DistanceMCQ
Q23Let m and n be positive integers, If x^2+ mx + 2n = 0 and…EquationsMCQ
Q24In a trepezium ABCD, AB is parallel to DC, BC is…GeometryTITA
Q25The points (2 , 1) and (-3 , -4) are opposite vertices of a…Coordinate GeometryMCQ
Q26How many pairs (a,b) of positive integers are there such…Number SystemsMCQ

Topic mix of CAT 2020 Slot 3

TopicSectionQuestions
RC · Society, History & PoliticsVARC13
Venn & Set PuzzlesDILR8
Games & TournamentsDILR6
Grids & MatricesDILR6
RC · Economics & BusinessVARC5
Charts & TablesDILR4
Ratio, Mixtures & AveragesQA4
Coordinate GeometryQA3
Number SystemsQA3
Para JumblesVARC3
Para SummaryVARC3
Time, Speed & DistanceQA3
EquationsQA2
Logarithms & ExponentsQA2
Odd Sentence OutVARC2
Percentages & Profit-LossQA2
Functions & GraphsQA1
GeometryQA1
Inequalities & ModulusQA1
InterestQA1
Permutations & ProbabilityQA1
Progressions & SeriesQA1
Time & WorkQA1