CAT Functions and Graphs is an important topic in the Algebra chapter of the Quantitative Aptitude (QA) section of the Common Admission Test (CAT). It covers domain and range, composition of functions, graphs, maxima and minima, custom-defined operators. Practising CAT Functions and Graphs PYQs helps candidates understand question patterns, improve calculation speed, and identify concepts that appear frequently. Based on a five-year analysis of CAT 2021-2025, Functions and Graphs accounted for 13 out of 330 Quantitative Aptitude questions, or approximately 3.9% of the questions analysed.
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The following guide covers the year-wise weightage trend, question types, where the topic fits within Algebra, difficulty level, and preparation strategy.
This PDF includes:
| 70 Functions and Graphs questions in the PDF | 3.9% Five-year QA Share (2021-2025) |
The PDF holds 70 Functions and Graphs questions from CAT 1990-2025, grouped by year and slot. Answer keys and solutions are not included.
CAT Functions and Graphs PYQ Statistics (2021-2025)
The following figures represent the aggregated number of Functions and Graphs questions across all three slots of CAT each year, not the count in an individual slot.
| Year | Total Questions (All Slots) | Average per Slot | Weightage in QA | Change in Weightage |
|---|---|---|---|---|
| 2025 | 3 | 1.00 | 4.55% | +1.52% |
| 2024 | 2 | 0.67 | 3.03% | +1.52% |
| 2023 | 1 | 0.33 | 1.52% | −6.06% |
| 2022 | 5 | 1.67 | 7.58% | +4.55% |
| 2021 | 2 | 0.67 | 3.03% | — |
| Total | 13 | 0.87 | 3.94% overall | — |
Weightage is the share of the 66 Quantitative Aptitude questions across the three slots in that year. Change in weightage is the difference in percentage points from the previous year. The busiest year for Functions and Graphs across the whole PDF was CAT 2003, with 8 questions.
CAT Functions and Graphs PYQ Question-Type Distribution
CAT Functions and Graphs questions in the Quantitative Aptitude section can appear as Multiple Choice Questions (MCQs) or Type In The Answer (TITA) questions.
Across the 15 slots of CAT 2021-2025, 10 of the 13 Functions and Graphs questions were MCQs and 3 were TITA. In the full PDF of 70 questions, 60 are MCQs and 10 are TITA.
| Question Type | Questions in CAT 2021-2025 | Share | Questions in the full PDF |
|---|---|---|---|
| MCQs (Multiple Choice Questions) | 10 | 76.9% | 60 |
| TITA (Type In The Answer) | 3 | 23.1% | 10 |
| Total | 13 | — | 70 |
Where Functions and Graphs Fits in CAT Algebra
Functions and Graphs accounts for 70 of the 417 questions in the Algebra chapter PDF, about 16.8%.
| Chapter | Questions in chapter PDF | Questions on this topic | Share of chapter |
|---|---|---|---|
| Algebra | 417 | 70 | 16.8% |
Difficulty Level of CAT Functions and Graphs PYQs
By the difficulty tag in our question bank, 33 of the 70 Functions and Graphs questions are medium, 34 are hard and 3 are easy.
| Difficulty | Typical question characteristics | Preparation focus | Questions in PDF |
|---|---|---|---|
| Easy | Direct application of one standard formula or rule | Formula recall and accuracy | 3 |
| Moderate | Multi-step problems that need two or three ideas | Concept selection and efficient calculation | 33 |
| Difficult | Questions that combine several concepts or need case analysis | Case analysis and alternative solving methods | 34 |
How to Prepare for CAT Functions and Graphs Using PYQs
Follow a three-stage preparation plan to get the most out of the question bank.
- Build conceptual clarity: Revise domain and range, composition of functions, graphs, maxima and minima, custom-defined operators before attempting timed practice.
- Practise topic-wise PYQs: Solve the 70 CAT Functions and Graphs questions in this PDF. Record the year and slot, your accuracy, and the time taken.
- Attempt mixed sets: Once Functions and Graphs is comfortable, mix it with other Algebra questions. Review incorrect answers and identify whether the mistake came from concept selection, calculation, or time management.
Because Functions and Graphs contributed 3.9% of the five-year QA dataset analysed, give it time in proportion to its share, and keep preparing the other QA chapters as well.
Related CAT Resources
CAT Functions and Graphs PYQs FAQs
Ques. How many Functions and Graphs questions are asked in CAT?
Ans. Based on 2021-2025 analysis, Functions and Graphs accounts for 13 out of 330 QA questions, representing approximately 3.9%. The number varies across exam years and slots.
Ques. What does CAT Functions and Graphs cover?
Ans. It covers domain and range, composition of functions, graphs, maxima and minima, custom-defined operators.
Ques. How can I practise CAT Functions and Graphs questions PYQ topic-wise?
Ans. Solve the 70 questions in this PDF in order, noting the year and slot. Note the concepts or calculation methods you find difficult, then practise mixed Algebra questions under timed conditions.
Ques. Does the CAT Functions and Graphs PYQ PDF include solutions?
Ans. No. The PDF contains the 70 questions with their year, slot and source question number, without answer keys or solutions.
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