CAT Topic-wise Practice Questions (Mocks 2015–2025)

Explore: CAT hub · Syllabus & pattern · CAT 2025

Mock questions, not past papers

The official CAT question papers are not published, so this page does not list real past questions. It sorts the 220 questions from our own mock papers (2015–2025) by the sections and topics of the official CAT syllabus. Each mock was written to match what candidates and analyses reported for that year, and is labelled as a mock on its year page.

Answer first

Choose a section below, start with the topic you are weakest at, and open its questions on the mock pages, where each one has the answer and a worked explanation. Verbal Ability and Reading Comprehension has 77 mock questions; Data Interpretation and Logical Reasoning has 44 mock questions; Quantitative Ability has 99 mock questions.

Verbal Ability and Reading Comprehension

Topic	Mock questions	Mock papers
Reading Comprehension	44	11
Para Jumbles	11	10
Para Summary	11	11
Odd Sentence Out	9	9
Para Completion	1	1
Vocabulary Usage	1	1

Reading Comprehension

2025 mock, Q.1: Which of the following best expresses the central idea of the passage?
2025 mock, Q.2: When the author says the two sides of the trade-off are 'seen so differently', the point is that
2025 mock, Q.3: The author rejects the recommendation to 'hold more of everything' because
2025 mock, Q.4: Which of the following practices best fits the author's recommendation?
2024 mock, Q.1: The author compares boredom to hunger in order to suggest that boredom
2024 mock, Q.2: According to the passage, whether boredom leads to creativity or to risky behaviour depends mainly on
2024 mock, Q.3: The author's main concern about devices that supply endless short stimuli is that they
2024 mock, Q.4: The author would be LEAST likely to agree with which of the following?
2023 mock, Q.1: The author's view of the critics who said that indexes encouraged shallow reading is that they
2023 mock, Q.2: According to the passage, indexes of hand-copied books could refer only to chapters or sections because
2023 mock, Q.3: The phrase 'a triumph of convenience over meaning' suggests that alphabetical order
2023 mock, Q.4: Which of the following can most reasonably be inferred about the author's view of later tools for retrieving information?
2022 mock, Q.1: Suppose a critic dismisses a dish as inauthentic because it uses an ingredient that reached the region only two centuries ago. It can be…
2022 mock, Q.2: The discussion of 'whose cooking counts' implies that
2022 mock, Q.3: Which of the following statements is the author most likely to endorse?
2022 mock, Q.4: The questions proposed in the final paragraph are meant to
2021 mock, Q.1: The author's assessment of the defenders' reply that 'there is no neutral alternative' is that it
2021 mock, Q.2: Which of the following would pass the test proposed by the author?
2021 mock, Q.3: The author mentions that the person automatically enrolled in a pension scheme 'did not, in any robust sense, decide to save' in order to
2021 mock, Q.4: Which of the following, if true, would most weaken the author's claim that automatic pension enrolment passes the test?
2020 mock, Q.1: According to the passage, maintenance tends to be underfunded chiefly because
2020 mock, Q.2: The author's response to the proposal that maintainers be celebrated like innovators is best described as
2020 mock, Q.3: In the third paragraph, the statement that the maintainers' warnings were 'weighed against more glamorous demands and found lighter'…
2020 mock, Q.4: Which of the following would best support the author's claim that collapses described as accidents were often foreseen?
2019 mock, Q.1: Each of the following is asserted or accepted by the author EXCEPT:
2019 mock, Q.2: The author's objection to 'critics who stress human influence everywhere' is that they
2019 mock, Q.3: Which of the following best describes the author's final position on the ideal of wilderness?
2019 mock, Q.4: The reference to protected areas that invite back traditional fire management primarily serves to
2018 mock, Q.1: Which of the following best expresses the main argument of the passage?
2018 mock, Q.2: The author observes that list compilers explain each 'untranslatable' word in a sentence or two in order to
2018 mock, Q.3: With which of the following statements would the author most likely agree?
2018 mock, Q.4: The final sentence of the passage implies that
2017 mock, Q.1: The author's attitude towards the practice of blaming manufacturers for the decline of repair is best described as
2017 mock, Q.2: By saying that discarding a broken object is 'not a moral failing but an arithmetic conclusion', the author implies that
2017 mock, Q.3: Which of the following measures would the author be most likely to support?
2017 mock, Q.4: The main purpose of the fourth paragraph is to
2016 mock, Q.1: The primary purpose of the passage is to
2016 mock, Q.2: The author's statement that 'abundance of material is not the same as abundance of evidence' is best illustrated by which example from…
2016 mock, Q.3: With which of the following statements would the author most likely agree?
2016 mock, Q.4: Which of the following is NOT presented in the passage as a drawback of keeping everything?
2015 mock, Q.1: Which of the following best captures the central argument of the passage?
2015 mock, Q.2: The author mentions public clocks fitted with two minute hands in order to illustrate
2015 mock, Q.3: Which of the following, if true, would most weaken the author's claim that legislation 'largely ratified a change that commerce had…
2015 mock, Q.4: In the second paragraph, the phrase 'each correct by its own lights' most nearly suggests that the clocks

Para Jumbles

2025 mock, Q.6: The four sentences below, labelled 1 to 4, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2023 mock, Q.5: The four sentences below, labelled 1 to 4, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2022 mock, Q.5: The four sentences below, labelled 1 to 4, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2021 mock, Q.5: The four sentences below, labelled 1 to 4, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2020 mock, Q.5: The five sentences below, labelled 1 to 5, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2019 mock, Q.5: The four sentences below, labelled 1 to 4, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2018 mock, Q.5: The five sentences below, labelled 1 to 5, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2017 mock, Q.5: The five sentences below, labelled 1 to 5, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2017 mock, Q.6: The four sentences below, labelled 1 to 4, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2016 mock, Q.5: The four sentences below, labelled 1 to 4, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…
2015 mock, Q.5: The five sentences below, labelled 1 to 5, form a coherent paragraph when properly ordered. Type in the correct order as a sequence of…

Para Summary

2025 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Loyalty cards…
2024 mock, Q.5: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Many companies…
2023 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. When a factory…
2022 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Cities often…
2021 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Museums once…
2020 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Food labels that…
2019 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. A common…
2018 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Open-plan…
2017 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Parents…
2016 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Conservationists…
2015 mock, Q.7: The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage. Many…

Odd Sentence Out

2024 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…
2023 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…
2022 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…
2021 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…
2020 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…
2019 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…
2018 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…
2016 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…
2015 mock, Q.6: Five sentences related to a topic are given below. Four of them can be put together to form a coherent paragraph. Identify the sentence…

Para Completion

2024 mock, Q.7: The paragraph below has a blank marked ( ___ ). Choose the sentence that best completes the paragraph. Early maps of the world were not…

Vocabulary Usage

2025 mock, Q.5: In which of the following sentences is the word 'sanguine' used correctly?

Data Interpretation and Logical Reasoning

Topic	Mock questions	Mock papers
Data Tables and Calculations	12	3
Games and Tournaments	8	2
Selection and Grouping	8	2
Scoring and Ranking	4	1
Seating Arrangement	4	1
Scheduling and Matching	4	1
Venn Diagrams and Set Overlaps	4	1

Data Tables and Calculations

2025 mock, Q.8: What was H1's total electricity bill, in rupees, for the three months?
2025 mock, Q.9: Which household paid the second-lowest total bill for the three months?
2025 mock, Q.10: In how many of the fifteen household-months did consumption exceed 200 units?
2025 mock, Q.11: Suppose H4 had used 30 fewer units in January and 30 more units in March, with February unchanged. How would its three-month bill have…
2023 mock, Q.8: How many notebooks did shop S sell?
2023 mock, Q.9: Which shop earned the highest revenue?
2023 mock, Q.10: Revenue from bags was approximately what percentage of the total revenue of all four shops?
2023 mock, Q.11: Which shop had the second-highest revenue per unit sold?
2016 mock, Q.8: Which factory recorded the highest percentage increase in production from January to April?
2016 mock, Q.9: In how many factories did production rise in every month compared with the previous month?
2016 mock, Q.10: The total production of the five factories in March was approximately what percentage of their total production in January?
2016 mock, Q.11: Suppose each factory's production in May changes, relative to April, by the same percentage as its April production changed relative to…

Games and Tournaments

2024 mock, Q.8: Who finished last in Race 1?
2024 mock, Q.9: How many different combinations of finishing orders for the three races are consistent with all the information given?
2024 mock, Q.10: If D finished 3rd in Race 2, who finished last in Race 3?
2024 mock, Q.11: For how many of the five athletes can the finishing position in every one of the three races be determined uniquely?
2015 mock, Q.8: Against which team did A draw its match?
2015 mock, Q.9: What was the result of the match between B and D?
2015 mock, Q.10: How many matches did C win?
2015 mock, Q.11: How many matches did B lose?

Selection and Grouping

2021 mock, Q.8: How many different allocations of the seven trainees to the three teams are possible?
2021 mock, Q.9: If F and G are in the same team, who is in team Z?
2021 mock, Q.10: Which of the following must be true?
2021 mock, Q.11: If C is in team Y and E is in team Z, who is the third member of team X?
2017 mock, Q.8: How many different teams satisfy all the conditions?
2017 mock, Q.9: Which candidate must be in every valid team?
2017 mock, Q.10: If V is selected, which of the following must be true?
2017 mock, Q.11: Which of the following is a valid team?

Scoring and Ranking

2018 mock, Q.8: Which candidate is ranked fifth?
2018 mock, Q.9: How many candidates have a final score of 120 or more?
2018 mock, Q.10: If the final score were instead the total of all four rounds, which candidate would be ranked last?
2018 mock, Q.11: For which candidate is the Round 1 score the one that gets dropped?

Seating Arrangement

2019 mock, Q.8: Who sits in seat 1?
2019 mock, Q.9: If R sits in seat 2, who sits in seat 6?
2019 mock, Q.10: How many different seating arrangements satisfy all five conditions?
2019 mock, Q.11: Which of the following must be true?

Scheduling and Matching

2020 mock, Q.8: Who went to Kochi?
2020 mock, Q.9: For how many of the five colleagues can both the day of travel and the city be determined with certainty?
2020 mock, Q.10: If the trip to Delhi was on Monday, who went to Goa?
2020 mock, Q.11: Which of the following could be true?

Venn Diagrams and Set Overlaps

2022 mock, Q.8: How many students belong to the Sports club only?
2022 mock, Q.9: How many students belong to exactly one club?
2022 mock, Q.10: How many students belong to Drama and Sports but not to Music?
2022 mock, Q.11: The next term, 10 students who were in no club join the Drama club only, and every student who was in Music and Sports but not Drama…

Quantitative Ability

Topic	Mock questions	Mock papers
Geometry	14	10
Equations, Inequalities and Functions	13	9
Number System	12	10
Time, Speed and Distance	10	10
Permutation, Combination and Probability	9	9
Mensuration	7	6
Ratio, Proportion, Partnership and Mixtures	6	5
Percentages	5	5
Simple and Compound Interest	5	5
Logarithms, Surds and Indices	5	5
Profit, Loss and Discount	4	4
Time and Work	4	4
Progressions and Series	3	3
Averages	2	2

Geometry

2025 mock, Q.16: In triangle ABC, AB = 9 cm, AC = 6 cm and BC = 10 cm. The bisector of angle A meets BC at D. What is BD?
2024 mock, Q.20: Two similar triangles have areas 81 cm² and 144 cm². A side of the smaller triangle is 12 cm. What is the corresponding side of the…
2023 mock, Q.17: What is the angle, in degrees, between the hour hand and the minute hand of a clock at 4:20?
2023 mock, Q.19: A right-angled triangle has a hypotenuse of 25 cm, and its two shorter sides differ by 17 cm. What is its perimeter?
2023 mock, Q.20: How many diagonals does a convex polygon with 12 sides have?
2021 mock, Q.20: What is the area of the triangle with vertices (1, 2), (5, 5) and (−2, 6)?
2020 mock, Q.15: A chord AB of a circle of radius 6 cm subtends an angle of 120° at the centre. What is the length of AB?
2019 mock, Q.15: Two circles of radii 9 cm and 4 cm touch each other externally. What is the length of their direct common tangent?
2019 mock, Q.16: Each interior angle of a regular polygon measures 156°. How many sides does the polygon have?
2018 mock, Q.14: In triangle ABC, AB = 13, BC = 14 and CA = 15. What is the length of the altitude from A to BC?
2018 mock, Q.15: A 25 m ladder leans against a vertical wall with its foot 7 m from the wall. If the top of the ladder slides down by 4 m, by how many…
2017 mock, Q.16: What is the area of an equilateral triangle whose perimeter is 36 cm?
2016 mock, Q.16: A chord of length 16 cm is at a distance of 6 cm from the centre of a circle. What is the radius of the circle?
2015 mock, Q.16: A right-angled triangle has legs of length 9 cm and 12 cm. What is the radius, in cm, of its incircle?

Equations, Inequalities and Functions

2024 mock, Q.14: If 5x − 3y = 13 and 2x + y = 3, what is x + y?
2023 mock, Q.12: For which values of k does the equation x² − (k + 1)x + (k + 4) = 0 have two equal real roots?
2023 mock, Q.13: What is the sum of all real solutions of |x − 1| + |x − 5| = 6?
2023 mock, Q.14: The polynomial p(x) = x³ + ax² + bx − 6 has (x − 1) as a factor and leaves a remainder of −12 when divided by (x + 2). What is b?
2023 mock, Q.15: A wallet holds only ₹10 and ₹20 notes: 25 notes in all, worth ₹380. How many ₹20 notes are there?
2022 mock, Q.20: What is the minimum value of x² − 8x + 21 over all real x?
2021 mock, Q.14: If a and b are the roots of x² − 6x + 4 = 0, what is a² + b²?
2021 mock, Q.15: How many integers x satisfy both (x − 2)(x − 9) < 0 and x² < 50?
2019 mock, Q.17: One root of x² + px + 12 = 0 is three times the other. If p > 0, what is p?
2018 mock, Q.17: How many integers x satisfy |x − 3| + |x + 2| ≤ 9?
2017 mock, Q.19: If f(x) = 2x + 3 and g(x) = x² − 1, what is the value of f(g(3))?
2016 mock, Q.14: The roots of x² − 7x + k = 0 differ by 3. What is k?
2015 mock, Q.14: If x + 1/x = 5, what is the value of x³ + 1/x³?

Number System

2025 mock, Q.14: For how many integer values of n is (n² + 7n + 12)/(n + 2) an integer?
2025 mock, Q.15: What is the remainder when 7²⁰²⁵ is divided by 100?
2024 mock, Q.15: What is the remainder when 2⁴⁰ is divided by 7?
2022 mock, Q.15: How many natural numbers less than 1000 have no common factor with 1000 other than 1?
2021 mock, Q.17: What is the sum of all positive divisors of 72?
2020 mock, Q.14: How many ordered pairs of positive integers (x, y) satisfy x² − y² = 45?
2020 mock, Q.17: How many zeros are there at the end of 125! (125 factorial)?
2019 mock, Q.18: What is the smallest four-digit number that leaves a remainder of 3 when divided by each of 5, 6 and 8?
2018 mock, Q.18: The HCF of two numbers is 12 and their LCM is 360. If one of the numbers is 72, what is the other?
2017 mock, Q.15: How many integers from 1 to 500, inclusive, are divisible by 3 or by 7?
2016 mock, Q.15: What is the remainder when 7¹⁰⁰ is divided by 9?
2015 mock, Q.15: How many positive divisors does 720 have?

Time, Speed and Distance

2025 mock, Q.13: A boat travels at 15 km/h in still water. It goes 36 km upstream and returns in a total of 5 hours. What is the speed of the stream in km/h?
2024 mock, Q.17: A cyclist covers 36 km in 2 hours 15 minutes. What is the cyclist's average speed in km/h?
2022 mock, Q.13: Towns A and B are 420 km apart. A train leaves A for B at 6 a.m. at 60 km/h. Another train leaves B for A at 8 a.m. at 90 km/h. How far…
2021 mock, Q.13: A and B set out at the same time from towns X and Y towards each other. After they meet, A takes 9 hours to reach Y and B takes 4 hours…
2020 mock, Q.13: Two runners start together from the same point on a 400 m circular track and run in opposite directions at 5 m/s and 3 m/s. After how…
2019 mock, Q.14: Walking at three-quarters of his usual speed, a man reaches his office 20 minutes late. What is his usual time for the journey?
2018 mock, Q.12: A train passes a pole in 15 seconds and a 300 m long platform in 27 seconds. What is the length of the train in metres?
2017 mock, Q.13: A car covers the first half of a journey at 40 km/h and the second half at 60 km/h. What is its average speed for the whole journey, in…
2016 mock, Q.13: A boat goes 30 km upstream and 44 km downstream in 10 hours. It goes 40 km upstream and 55 km downstream in 13 hours. What is the speed…
2015 mock, Q.13: Two trains, 180 m and 120 m long, run on parallel tracks in opposite directions at 54 km/h and 36 km/h. How many seconds do they take to…

Permutation, Combination and Probability

2025 mock, Q.18: How many four-digit numbers divisible by 5 can be formed using the digits 0, 1, 2, 3, 4, 5 and 6, if no digit is repeated?
2024 mock, Q.18: A fair coin is tossed three times. What is the probability of getting at least one head?
2022 mock, Q.18: In how many ways can 6 identical chocolates be distributed among 3 children so that each child gets at least one?
2021 mock, Q.18: In how many ways can 5 boys and 3 girls sit in a row so that no two girls sit next to each other?
2019 mock, Q.19: A bag contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are of the…
2018 mock, Q.19: How many three-digit numbers have their digits in strictly increasing order from left to right (for example, 258)?
2017 mock, Q.18: In how many distinct ways can the letters of the word LEVEL be arranged?
2016 mock, Q.18: Two fair dice are thrown. What is the probability that the sum of the numbers shown is 8?
2015 mock, Q.17: A committee of 4 is to be chosen from 6 men and 5 women. In how many ways can this be done if the committee must include at least 2 women?

Mensuration

2025 mock, Q.17: An isosceles trapezium has parallel sides of 10 cm and 22 cm, and each non-parallel side is 10 cm long. What is its area in cm²?
2024 mock, Q.16: The volume of a sphere is 288π cm³. What is its surface area?
2022 mock, Q.16: What is the area of a sector of a circle of radius 14 cm with a central angle of 45°? (Take π = 22/7.)
2022 mock, Q.17: The diagonals of a rhombus are in the ratio 3 : 4 and its perimeter is 40 cm. What is its area in cm²?
2021 mock, Q.16: A right circular cone and a hemisphere stand on equal circular bases and have equal volumes. What is the ratio of the cone's height to…
2020 mock, Q.16: The diagonal of a rectangle is 13 cm and its perimeter is 34 cm. What is its area in cm²?
2017 mock, Q.20: What is the curved surface area of a cylinder of radius 7 cm and height 10 cm? (Take π = 22/7.)

Ratio, Proportion, Partnership and Mixtures

2024 mock, Q.13: If A : B = 3 : 4 and B : C = 6 : 5, and C = 40, what is A?
2020 mock, Q.19: A 40-litre mixture contains alcohol and water in the ratio 3 : 5. How many litres of alcohol must be added so that alcohol makes up half…
2019 mock, Q.13: The ages of A and B are in the ratio 4 : 5. Eight years from now the ratio will be 6 : 7. What is B's present age?
2018 mock, Q.13: A vessel contains 80 litres of pure milk. 8 litres are drawn off and replaced with water. This is done three times in all. How much milk…
2018 mock, Q.16: A starts a business with ₹40,000. Three months later B joins with ₹60,000. At the end of the year the profit is ₹34,000. What is B's…
2015 mock, Q.20: A 60-litre mixture contains milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 3 : 2?

Percentages

2025 mock, Q.12: In an election between two candidates, 10% of registered voters did not vote and 300 of the votes cast were invalid. The winner received…
2022 mock, Q.12: The price of sugar rises by 60%. By what percentage must a household cut its consumption to keep its spending on sugar unchanged?
2021 mock, Q.12: A man spends 75% of his income. His income rises by 20% and his expenditure by 10%. By what percentage do his savings increase?
2020 mock, Q.12: A's salary is 25% more than B's. By what percentage is B's salary less than A's?
2016 mock, Q.20: A town's population increases by 10% in the first year, falls by 10% in the second year and increases by 20% in the third year. What is…

Simple and Compound Interest

2023 mock, Q.16: A sum of money at compound interest (compounded annually) amounts to ₹8,820 in 2 years and ₹9,261 in 3 years. What is the rate of interest?
2022 mock, Q.19: The simple interest on a sum at 12% per annum for 3 years is ₹4,320. What is the sum?
2019 mock, Q.20: What is the compound interest, in rupees, on ₹10,000 for one year at 10% per annum compounded half-yearly?
2017 mock, Q.12: A sum of money doubles itself in 5 years at simple interest. In how many years will it become four times itself at the same rate?
2016 mock, Q.12: The difference between the compound interest and the simple interest on a sum for 2 years at 8% per annum (compounded annually) is ₹96.…

Logarithms, Surds and Indices

2025 mock, Q.19: If log₃x + log₉x + log₂₇x = 11/2, what is x?
2022 mock, Q.14: What is the sum of all real values of x that satisfy 3²ˣ − 10 × 3ˣ + 9 = 0?
2020 mock, Q.20: Given that log₁₀ 2 = 0.3010, how many digits does 2⁵⁰ have?
2017 mock, Q.14: If 2ˣ⁺¹ + 2ˣ = 96, then x equals
2015 mock, Q.18: If log₂x + log₄x = 6, then x equals

Profit, Loss and Discount

2024 mock, Q.12: A shopkeeper allows a 20% discount on the marked price and still makes a 20% profit. If the article costs him ₹400, what is its marked…
2018 mock, Q.20: A trader sells two articles for ₹9,900 each. On one he gains 10% and on the other he loses 10%. What is his overall result?
2017 mock, Q.17: A trader buys pens at 5 for ₹40 and sells them at 4 for ₹40. What is his profit percentage?
2015 mock, Q.12: A shopkeeper marks an article 40% above its cost price and then allows two successive discounts of 10% and 15%. What is his profit…

Time and Work

2025 mock, Q.20: A, B and C can complete a job in 10, 12 and 15 days respectively. All three start together; A leaves after 2 days and B leaves 3 days…
2023 mock, Q.18: 12 men can finish a job in 18 days. After 6 days, 4 more men join them. In how many days, in total, is the job finished?
2019 mock, Q.12: Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively, while pipe C can empty the full tank in 15 minutes. If all…
2015 mock, Q.19: A can finish a piece of work in 12 days and B in 18 days. They work together for 4 days, after which A leaves. How many more days does B…

Progressions and Series

2024 mock, Q.19: The 3rd term of an arithmetic progression is 7 and the 7th term is 19. What is the sum of its first 15 terms?
2020 mock, Q.18: The sum of an infinite geometric progression is 20 and the sum of the squares of its terms is 80. What is its first term?
2016 mock, Q.19: The sum of the first n terms of the arithmetic progression 3, 7, 11, … is 210. Find n.

Averages

2021 mock, Q.19: The average of 11 consecutive odd numbers is 37. What is the largest of them?
2016 mock, Q.17: The average of five numbers is 24. When one of them is removed, the average of the remaining four is 22. What number was removed?

How these topics were chosen

Sections and topics follow the official CAT notification and syllabus headings.
Questions are the ones in our 11 labelled mock papers on the year pages. None is copied from a real exam.
Answers and explanations are on the mock page each line links to.

FAQ

Are these real CAT previous year questions?

No. The official CAT papers are not published, so there are no official past questions to list. These are original questions from our mock papers, written to match what candidates and exam analyses reported for each year, and labelled as mocks everywhere on this site.

Which CAT topics have the most practice questions here?

Verbal Ability and Reading Comprehension: Reading Comprehension, Para Jumbles. Data Interpretation and Logical Reasoning: Data Tables and Calculations, Games and Tournaments. Quantitative Ability: Geometry, Equations, Inequalities and Functions.

How should I use topic-wise CAT practice?

Pick your weakest topic, solve its questions from two or three mock years with the answers hidden, then read the explanations on the mock page. Once a topic is clean, sit a full mock under time.