CAT Remainders is an important topic in the Number System chapter of the Quantitative Aptitude (QA) section of the Common Admission Test (CAT). It covers remainder theorems, cyclicity, remainders of large powers. Practising CAT Remainders 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, Remainders accounted for 3 out of 330 Quantitative Aptitude questions, or approximately 0.9% of the questions analysed.
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The following guide covers the year-wise weightage trend, question types, where the topic fits within Number System, difficulty level, and preparation strategy.
This PDF includes:
| 19 Remainders questions in the PDF | 0.9% Five-year QA Share (2021-2025) |
The PDF holds 19 Remainders questions from CAT 1990-2024, grouped by year and slot. Answer keys and solutions are not included.
CAT Remainders PYQ Statistics (2021-2025)
The following figures represent the aggregated number of Remainders 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% | −4.55% |
| 2024 | 3 | 1.00 | 4.55% | +4.55% |
| 2023 | 0 | 0.00 | 0.00% | 0.00% |
| 2022 | 0 | 0.00 | 0.00% | 0.00% |
| 2021 | 0 | 0.00 | 0.00% | — |
| Total | 3 | 0.20 | 0.91% 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 Remainders across the whole PDF was CAT 2024, with 3 questions.
CAT Remainders PYQ Question-Type Distribution
CAT Remainders 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, 3 of the 3 Remainders questions were MCQs and 0 were TITA. In the full PDF of 19 questions, 19 are MCQs and 0 are TITA.
| Question Type | Questions in CAT 2021-2025 | Share | Questions in the full PDF |
|---|---|---|---|
| MCQs (Multiple Choice Questions) | 3 | 100.0% | 19 |
| TITA (Type In The Answer) | 0 | 0.0% | 0 |
| Total | 3 | — | 19 |
Where Remainders Fits in CAT Number System
Remainders accounts for 19 of the 159 questions in the Number System chapter PDF, about 11.9%.
| Chapter | Questions in chapter PDF | Questions on this topic | Share of chapter |
|---|---|---|---|
| Number System | 159 | 19 | 11.9% |
Difficulty Level of CAT Remainders PYQs
By the difficulty tag in our question bank, 15 of the 19 Remainders questions are medium, 4 are hard and 0 are easy.
| Difficulty | Typical question characteristics | Preparation focus | Questions in PDF |
|---|---|---|---|
| Easy | Direct application of one standard formula or rule | Formula recall and accuracy | 0 |
| Moderate | Multi-step problems that need two or three ideas | Concept selection and efficient calculation | 15 |
| Difficult | Questions that combine several concepts or need case analysis | Case analysis and alternative solving methods | 4 |
How to Prepare for CAT Remainders Using PYQs
Follow a three-stage preparation plan to get the most out of the question bank.
- Build conceptual clarity: Revise remainder theorems, cyclicity, remainders of large powers before attempting timed practice.
- Practise topic-wise PYQs: Solve the 19 CAT Remainders questions in this PDF. Record the year and slot, your accuracy, and the time taken.
- Attempt mixed sets: Once Remainders 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 Remainders contributed 0.9% of the five-year QA dataset analysed, give it time in proportion to its share, and keep preparing the other QA chapters as well.
CAT QA Formula Sheet PDF
CAT Remainders PYQs FAQs
Ques. How many Remainders questions are asked in CAT?
Ans. Based on 2021-2025 analysis, Remainders accounts for 3 out of 330 QA questions, representing approximately 0.9%. The number varies across exam years and slots.
Ques. What does CAT Remainders cover?
Ans. It covers remainder theorems, cyclicity, remainders of large powers.
Ques. How can I practise CAT Remainders questions PYQ topic-wise?
Ans. Solve the 19 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 Remainders PYQ PDF include solutions?
Ans. No. The PDF contains the 19 questions with their year, slot and source question number, without answer keys or solutions.
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