Does CAT repeat questions?

CAT almost never reuses a question verbatim, but it reuses ideas constantly. Among 1,830 questions from 2017 to 2025, 143 concepts were tested three or more times, 113 of them across at least three different years, and 25 concepts have near-repeats: the same question with new numbers.

Key facts

  • 143 concepts have been tested in three or more CAT questions since 2017.
  • The most-repeated CAT quant concept is "Average changes when members join or leave the group", asked 6 times across 6 years.
  • 51 CAT questions since 2017 are near-repeats of another: same setup, new numbers.

Which CAT questions are near-repeats?

A near-repeat keeps the setup and method and changes the numbers or the story slightly. These are the clearest evidence that solving old papers pays.

ConceptQuestions
Mixing solutions in a given ratio to find an unknown strengthCAT 2018 Slot 2 · QA Q11, CAT 2020 Slot 3 · QA Q18, CAT 2018 Slot 2 · QA Q3, CAT 2017 Slot 2 · QA Q3, CAT 2021 Slot 1 · QA Q11
Selling parts at different prices, rest as a mixture, to hit an overall profitCAT 2018 Slot 1 · QA Q7, CAT 2022 Slot 1 · QA Q14, CAT 2021 Slot 2 · QA Q22, CAT 2020 Slot 3 · QA Q14
Work done in a repeating daily roster of workersCAT 2024 Slot 3 · QA Q9, CAT 2022 Slot 3 · QA Q3, CAT 2021 Slot 1 · QA Q19, CAT 2024 Slot 2 · QA Q6
Wages split in proportion to the work each person didCAT 2021 Slot 3 · QA Q2, CAT 2017 Slot 2 · QA Q13, CAT 2021 Slot 2 · QA Q6
Meeting time moving towards each other vs. in the same directionCAT 2022 Slot 3 · QA Q10, CAT 2018 Slot 2 · QA Q17, CAT 2021 Slot 3 · QA Q3
Races: 'A beats B by x' as distance ratios over the courseCAT 2020 Slot 2 · QA Q1, CAT 2019 Slot 1 · QA Q19, CAT 2017 Slot 2 · QA Q2
Amount after CI reinvested at SI: compare final amountsCAT 2024 Slot 2 · QA Q15, CAT 2023 Slot 1 · QA Q16
Fraction sold of each type adds up to the overall fraction soldCAT 2024 Slot 2 · QA Q12, CAT 2023 Slot 3 · QA Q14
Digits from overlapping digit-sum conditionsCAT 2025 Slot 3 · QA Q20, CAT 2021 Slot 2 · QA Q12
Counting numbers with distinct digits under conditionsCAT 2024 Slot 3 · QA Q14, CAT 2023 Slot 1 · QA Q21, CAT 2020 Slot 3 · QA Q16, CAT 2022 Slot 2 · QA Q12, CAT 2020 Slot 2 · QA Q26
Powers of x + 1/x built up from a known valueCAT 2025 Slot 3 · QA Q4, CAT 2023 Slot 3 · QA Q4
Rearrange into a sum of squares equal to zero, so each square is zeroCAT 2023 Slot 1 · QA Q2, CAT 2018 Slot 1 · QA Q16, CAT 2024 Slot 2 · QA Q21, CAT 2024 Slot 1 · QA Q8
Max of a min (or min of a max) of two functions occurs where they crossCAT 2018 Slot 1 · QA Q33, CAT 2018 Slot 2 · QA Q30
Equations with |x|: split into sign cases and count rootsCAT 2023 Slot 1 · QA Q5, CAT 2019 Slot 1 · QA Q29, CAT 2019 Slot 1 · QA Q31, CAT 2021 Slot 1 · QA Q8
Simultaneous linear equations with |x|, |y|: test sign casesCAT 2024 Slot 2 · QA Q2, CAT 2021 Slot 3 · QA Q13
a^b = 1: base 1, exponent 0 with base ≠ 0, or base −1 with even exponentCAT 2022 Slot 2 · QA Q17, CAT 2020 Slot 2 · QA Q17
x_(n+1) = x_n + g(n): telescope to a sumCAT 2021 Slot 3 · QA Q16, CAT 2020 Slot 3 · QA Q1
a_(n+1) = 2a_n + 3: add 3 to get a geometric sequenceCAT 2019 Slot 1 · QA Q10, CAT 2023 Slot 1 · QA Q22
Minimise squared differences: keep the integers nearly equalCAT 2025 Slot 2 · QA Q7, CAT 2017 Slot 1 · QA Q28
Rhombus: side and area give the diagonals via (d1 ± d2)^2CAT 2025 Slot 1 · QA Q15, CAT 2021 Slot 2 · QA Q9, CAT 2021 Slot 3 · QA Q12
Circular segment area = sector − triangleCAT 2024 Slot 3 · QA Q4, CAT 2022 Slot 3 · QA Q18, CAT 2017 Slot 1 · QA Q17
Regular polygons: exterior angle = 360°/nCAT 2022 Slot 2 · QA Q3, CAT 2019 Slot 2 · QA Q11, CAT 2023 Slot 3 · QA Q19
Parallelogram diagonals bisect each other: share a midpointCAT 2022 Slot 1 · QA Q1, CAT 2020 Slot 3 · QA Q25, CAT 2017 Slot 2 · QA Q17, CAT 2025 Slot 1 · QA Q13
Cone cut parallel to its base: volumes scale as cube of heightCAT 2020 Slot 1 · QA Q17, CAT 2018 Slot 1 · QA Q13
Gives away half plus extra each time: work backwardsCAT 2024 Slot 1 · QA Q13, CAT 2020 Slot 1 · QA Q25

Which concepts has CAT tested across the most years?

ConceptSectionQuestionsYears
Spotting the one claim the passage does not support — society and politics passagesVARC402017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
Spotting the one claim the passage does not support — science and technology passagesVARC302017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
Spotting the one claim the passage does not support — history and anthropology passagesVARC212017, 2018, 2019, 2020, 2021, 2022, 2023, 2024
Drawing out what the passage implies but never states — science and technology passagesVARC202017, 2018, 2020, 2021, 2022, 2023, 2024, 2025
Drawing out what the passage implies but never states — history and anthropology passagesVARC122017, 2018, 2019, 2021, 2022, 2023, 2024, 2025
Why a line, example or reference is in the passage — society and politics passagesVARC182017, 2018, 2019, 2020, 2021, 2023, 2025
Why a line, example or reference is in the passage — science and technology passagesVARC162017, 2018, 2019, 2021, 2022, 2024, 2025
The central idea or primary purpose — science and technology passagesVARC132017, 2018, 2020, 2021, 2022, 2024, 2025
Spotting the one claim the passage does not support — philosophy and psychology passagesVARC212017, 2020, 2021, 2022, 2023, 2025
Drawing out what the passage implies but never states — society and politics passagesVARC162017, 2018, 2019, 2020, 2023, 2025
The central idea or primary purpose — society and politics passagesVARC142017, 2018, 2020, 2022, 2023, 2025
Which new fact would strengthen or weaken the argument — science and technology passagesVARC102018, 2020, 2021, 2023, 2024, 2025
What the author would agree or disagree with — society and politics passagesVARC92018, 2019, 2020, 2021, 2024, 2025
Why a line, example or reference is in the passage — history and anthropology passagesVARC92017, 2018, 2021, 2022, 2023, 2025
Average changes when members join or leave the groupQA62017, 2018, 2019, 2022, 2023, 2025
Cross-classification of a population by two or three attributes; fill the contingency tableDILR352017, 2018, 2019, 2022, 2023
Venn diagram: counts of items belonging to overlapping categories (3-4 sets)DILR332017, 2018, 2020, 2022, 2024
Scatter/bubble plot DI: read coordinates and areas to compare entitiesDILR212018, 2019, 2022, 2024, 2025
Spotting the one claim the passage does not support — literature and the arts passagesVARC172019, 2020, 2022, 2023, 2025
Locating a detail the passage states directly — society and politics passagesVARC152017, 2018, 2019, 2020, 2025
Locating a detail the passage states directly — philosophy and psychology passagesVARC112017, 2020, 2021, 2022, 2023
Which new fact would strengthen or weaken the argument — society and politics passagesVARC112018, 2019, 2020, 2023, 2024
The central idea or primary purpose — philosophy and psychology passagesVARC92017, 2020, 2021, 2022, 2025
Maximise or minimise one value given an average and distinct/bounded othersQA82018, 2019, 2020, 2021, 2022
Why a line, example or reference is in the passage — philosophy and psychology passagesVARC82019, 2020, 2021, 2022, 2023
Locating a detail the passage states directly — history and anthropology passagesVARC72017, 2018, 2021, 2023, 2025
Repeated replacement of a mixture: concentration × (1 − f) each timeQA62018, 2021, 2023, 2024, 2025
Discriminant conditions for real, distinct or no real rootsQA62017, 2018, 2019, 2020, 2022
Exponential equation turned into a quadratic in a^xQA62017, 2019, 2023, 2024, 2025
What the author would agree or disagree with — history and anthropology passagesVARC62018, 2020, 2021, 2022, 2023

Should I memorise CAT previous year questions?

No: you will not see the same numbers again. Learn the method behind each repeated concept until you can apply it to a fresh question in under two minutes. That is what the "similar question" practice on Ninetynine is for: a new question, solved the same way, after you finish each PYQ.

Method: counted from all 24 CAT papers 2017–2025 (1,830 questions), each tagged with one topic. Concept clusters group questions that need the same method; each member has a similarity score, and near-repeats are flagged by hand review. How the data is built.

Frequently asked questions

Are CAT questions repeated?

Ideas are; exact questions very rarely are. 25 concepts since 2017 have near-identical versions in different papers.

Is solving CAT PYQs useful if questions do not repeat?

Yes. 143 concepts recur in three or more questions, so PYQs show you which methods CAT keeps testing.