NinetynineCAT 2021 Slot 3 question paper with answers and solutions
CAT 2021 Slot 3 had 66 questions: 24 in VARC (40 minutes), 20 in DILR (40 minutes), 22 in QA (40 minutes). 18 of them were TITA (type in the answer, no options). 22 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
| Question | Topic | ||
|---|---|---|---|
| Passage 1 | Q1–Q4 · Today we can hardly conceive of ourselves without an unconscious. Yet… | RC · Humanities & Philosophy | 4 questions |
| Passage 2 | Q5–Q8 · Keeping time accurately comes with a price. The maximum accuracy of a… | RC · Science & Technology | 4 questions |
| Passage 3 | Q9–Q12 · Starting in 1957, [Noam Chomsky] proclaimed a new doctrine: Language… | RC · Humanities & Philosophy | 4 questions |
| Passage 4 | Q13–Q16 · Back in the early 2000s, an awesome thing happened in the New X-Men… | RC · Science & Technology | 4 questions |
| Q17 | The four sentences (labelled 1, 2, 3 and 4) below, when… | Para Jumbles | TITA |
| Q18 | Five jumbled up sentences, related to a topic, are given… | Odd Sentence Out | TITA |
| Q19 | The four sentences (labelled 1, 2, 3, 4) below, when… | Para Jumbles | TITA |
| Q20 | The four sentences (labelled 1, 2, 3 and 4) below, when… | Para Jumbles | TITA |
| Q21 | Five jumbled up sentences, related to a topic, are given… | Odd Sentence Out | TITA |
| Q22 | Para Summary: Some believe that hard work has been glorified… | Para Summary | MCQ |
| Q23 | Para Summary: Most Brazilians feel they have benefitted from… | Para Summary | MCQ |
| Q24 | Para Summary: Intuitions are automatic processes and are… | Para Summary | MCQ |
Data Interpretation & Logical Reasoning (DILR) 20 questions · 40 min
| Question | Topic | ||
|---|---|---|---|
| Set 1 | Q1–Q6 · Three reviewers Amal, Bimal, and Komal are tasked with selecting… | Selection & Distribution | 6 questions |
| Set 2 | Q7–Q12 · 10 players – P1, P2, … , P10 - competed in an international javelin… | Games & Tournaments | 6 questions |
| Set 3 | Q13–Q16 · The figure above shows the schedule of four employees – Abani, Bahni… | Charts & Tables | 4 questions |
| Set 4 | Q17–Q20 · Each of the bottles mentioned in this question contains 50 ml of… | Quant-based Puzzles | 4 questions |
Quantitative Ability (QA) 22 questions · 40 min
| Question | Topic | ||
|---|---|---|---|
| Q1 | If a certain weight of an alloy of silver and copper is… | Ratio, Mixtures & Averages | MCQ |
| Q2 | Anil can paint a house in 12 days while Barun can paint it… | Time & Work | TITA |
| Q3 | Mira and Amal walk along a circular track, starting from the… | Time, Speed & Distance | TITA |
| Q4 | A four-digit number is formed by using only the digits 1, 2… | Permutations & Probability | TITA |
| Q5 | In a triangle ABC , ∠ BCA =50°. D and E are points on AB and… | Geometry | MCQ |
| Q6 | For a real number a, if log _15 a+log _32 a(log _15 a)(log… | Logarithms & Exponents | MCQ |
| Q7 | The arithmetic mean of scores of 25 students in an… | Ratio, Mixtures & Averages | TITA |
| Q8 | One part of a hostel's monthly expenses is fixed, and the… | Equations | MCQ |
| Q9 | One day, Rahul started a work at 9 AM and Gautam joined him… | Time & Work | MCQ |
| Q10 | The total of male and female populations in a city increased… | Percentages & Profit-Loss | MCQ |
| Q11 | Let ABCD be a parallelogram. The lengths of the side AD and… | Geometry | MCQ |
| Q12 | A park is shaped like a rhombus and has area 96 sq m. If 40… | Geometry | TITA |
| Q13 | If 3 x+2|y|+y=7 and x+|x|+3 y=1 , then x+2 y is | Inequalities & Modulus | MCQ |
| Q14 | In a tournament, a team has played 40 matches so far and won… | Percentages & Profit-Loss | MCQ |
| Q15 | A shop owner bought a total of 64 shirts from a wholesale… | Equations | MCQ |
| Q16 | Consider a sequence of real numbers x_1, x_2, x_3, such that… | Progressions & Series | MCQ |
| Q17 | A tea shop offers tea in cups of three different sizes. The… | Equations | TITA |
| Q18 | The number of distinct pairs of integers (m, n) satisfying… | Inequalities & Modulus | TITA |
| Q19 | The cost of fencing a rectangular plot is ₹ 200 per ft along… | Inequalities & Modulus | MCQ |
| Q20 | If n is a positive integer such that ([7]10)([7]10)^2… | Logarithms & Exponents | TITA |
| Q21 | Bank A offers 6% interest rate per annum compounded half… | Interest | MCQ |
| Q22 | If f(x)=x^2-7 x and g(x)=x+3 , then the minimum value of… | Functions & Graphs | MCQ |
Topic mix of CAT 2021 Slot 3
| Topic | Section | Questions |
|---|---|---|
| RC · Humanities & Philosophy | VARC | 8 |
| RC · Science & Technology | VARC | 8 |
| Games & Tournaments | DILR | 6 |
| Selection & Distribution | DILR | 6 |
| Charts & Tables | DILR | 4 |
| Quant-based Puzzles | DILR | 4 |
| Equations | QA | 3 |
| Geometry | QA | 3 |
| Inequalities & Modulus | QA | 3 |
| Para Jumbles | VARC | 3 |
| Para Summary | VARC | 3 |
| Logarithms & Exponents | QA | 2 |
| Odd Sentence Out | VARC | 2 |
| Percentages & Profit-Loss | QA | 2 |
| Ratio, Mixtures & Averages | QA | 2 |
| Time & Work | QA | 2 |
| Functions & Graphs | QA | 1 |
| Interest | QA | 1 |
| Permutations & Probability | QA | 1 |
| Progressions & Series | QA | 1 |
| Time, Speed & Distance | QA | 1 |