CAT Divisibility is an important topic in the Number System chapter of the Quantitative Aptitude (QA) section of the Common Admission Test (CAT). It covers divisibility rules and divisibility of expressions. Practising CAT Divisibility 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, Divisibility accounted for 1 out of 330 Quantitative Aptitude questions, or approximately 0.3% of the questions analysed.
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The following guide covers the year-wise weightage trend, question types, where the topic fits within Number System, difficulty level, and preparation strategy.
This PDF includes:
| 18 Divisibility questions in the PDF | 0.3% Five-year QA Share (2021-2025) |
The PDF holds 18 Divisibility questions from CAT 1991-2023, grouped by year and slot. Answer keys and solutions are not included.
CAT Divisibility PYQ Statistics (2021-2025)
The following figures represent the aggregated number of Divisibility 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 | 0 | 0.00 | 0.00% | 0.00% |
| 2024 | 0 | 0.00 | 0.00% | −1.52% |
| 2023 | 1 | 0.33 | 1.52% | +1.52% |
| 2022 | 0 | 0.00 | 0.00% | 0.00% |
| 2021 | 0 | 0.00 | 0.00% | — |
| Total | 1 | 0.07 | 0.30% 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 Divisibility across the whole PDF was CAT 2019, with 4 questions.
CAT Divisibility PYQ Question-Type Distribution
CAT Divisibility 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, 1 of the 1 Divisibility questions were MCQs and 0 were TITA. In the full PDF of 18 questions, 15 are MCQs and 3 are TITA.
| Question Type | Questions in CAT 2021-2025 | Share | Questions in the full PDF |
|---|---|---|---|
| MCQs (Multiple Choice Questions) | 1 | 100.0% | 15 |
| TITA (Type In The Answer) | 0 | 0.0% | 3 |
| Total | 1 | — | 18 |
Where Divisibility Fits in CAT Number System
Divisibility accounts for 18 of the 159 questions in the Number System chapter PDF, about 11.3%.
| Chapter | Questions in chapter PDF | Questions on this topic | Share of chapter |
|---|---|---|---|
| Number System | 159 | 18 | 11.3% |
Difficulty Level of CAT Divisibility PYQs
By the difficulty tag in our question bank, 14 of the 18 Divisibility questions are medium, 3 are hard and 1 is easy.
| Difficulty | Typical question characteristics | Preparation focus | Questions in PDF |
|---|---|---|---|
| Easy | Direct application of one standard formula or rule | Formula recall and accuracy | 1 |
| Moderate | Multi-step problems that need two or three ideas | Concept selection and efficient calculation | 14 |
| Difficult | Questions that combine several concepts or need case analysis | Case analysis and alternative solving methods | 3 |
How to Prepare for CAT Divisibility Using PYQs
Follow a three-stage preparation plan to get the most out of the question bank.
- Build conceptual clarity: Revise divisibility rules and divisibility of expressions before attempting timed practice.
- Practise topic-wise PYQs: Solve the 18 CAT Divisibility questions in this PDF. Record the year and slot, your accuracy, and the time taken.
- Attempt mixed sets: Once Divisibility is comfortable, mix it with other Number System questions. Review incorrect answers and identify whether the mistake came from concept selection, calculation, or time management.
Because Divisibility contributed 0.3% of the five-year QA dataset analysed, give it time in proportion to its share, and keep preparing the other QA chapters as well.
CAT QA Formula Sheet PDF
CAT Divisibility PYQs FAQs
Ques. How many Divisibility questions are asked in CAT?
Ans. Based on 2021-2025 analysis, Divisibility accounts for 1 out of 330 QA questions, representing approximately 0.3%. The number varies across exam years and slots.
Ques. What does CAT Divisibility cover?
Ans. It covers divisibility rules and divisibility of expressions.
Ques. How can I practise CAT Divisibility questions PYQ topic-wise?
Ans. Solve the 18 questions in this PDF in order, noting the year and slot. Note the concepts or calculation methods you find difficult, then practise mixed Number System questions under timed conditions.
Ques. Does the CAT Divisibility PYQ PDF include solutions?
Ans. No. The PDF contains the 18 questions with their year, slot and source question number, without answer keys or solutions.
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