CAT Logarithms is an important topic in the Algebra chapter of the Quantitative Aptitude (QA) section of the Common Admission Test (CAT). It covers properties of logarithms, change of base, equations and inequalities with logs. Practising CAT Logarithms 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, Logarithms accounted for 14 out of 330 Quantitative Aptitude questions, or approximately 4.2% 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:
| 43 Logarithms questions in the PDF | 4.2% Five-year QA Share (2021-2025) |
The PDF holds 43 Logarithms questions from CAT 1994-2025, grouped by year and slot. Answer keys and solutions are not included.
CAT Logarithms PYQ Statistics (2021-2025)
The following figures represent the aggregated number of Logarithms 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 | 4 | 1.33 | 6.06% | +1.52% |
| 2023 | 3 | 1.00 | 4.55% | +4.55% |
| 2022 | 0 | 0.00 | 0.00% | −6.06% |
| 2021 | 4 | 1.33 | 6.06% | — |
| Total | 14 | 0.93 | 4.24% 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 Logarithms across the whole PDF was CAT 2020, with 6 questions.
CAT Logarithms PYQ Question-Type Distribution
CAT Logarithms 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, 7 of the 14 Logarithms questions were MCQs and 7 were TITA. In the full PDF of 43 questions, 32 are MCQs and 11 are TITA.
| Question Type | Questions in CAT 2021-2025 | Share | Questions in the full PDF |
|---|---|---|---|
| MCQs (Multiple Choice Questions) | 7 | 50.0% | 32 |
| TITA (Type In The Answer) | 7 | 50.0% | 11 |
| Total | 14 | — | 43 |
Where Logarithms Fits in CAT Algebra
Logarithms accounts for 43 of the 417 questions in the Algebra chapter PDF, about 10.3%.
| Chapter | Questions in chapter PDF | Questions on this topic | Share of chapter |
|---|---|---|---|
| Algebra | 417 | 43 | 10.3% |
Difficulty Level of CAT Logarithms PYQs
By the difficulty tag in our question bank, 18 of the 43 Logarithms questions are medium, 25 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 | 18 |
| Difficult | Questions that combine several concepts or need case analysis | Case analysis and alternative solving methods | 25 |
How to Prepare for CAT Logarithms Using PYQs
Follow a three-stage preparation plan to get the most out of the question bank.
- Build conceptual clarity: Revise properties of logarithms, change of base, equations and inequalities with logs before attempting timed practice.
- Practise topic-wise PYQs: Solve the 43 CAT Logarithms questions in this PDF. Record the year and slot, your accuracy, and the time taken.
- Attempt mixed sets: Once Logarithms 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 Logarithms contributed 4.2% 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 Logarithms PYQs FAQs
Ques. How many Logarithms questions are asked in CAT?
Ans. Based on 2021-2025 analysis, Logarithms accounts for 14 out of 330 QA questions, representing approximately 4.2%. The number varies across exam years and slots.
Ques. What does CAT Logarithms cover?
Ans. It covers properties of logarithms, change of base, equations and inequalities with logs.
Ques. How can I practise CAT Logarithms questions PYQ topic-wise?
Ans. Solve the 43 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 Logarithms PYQ PDF include solutions?
Ans. No. The PDF contains the 43 questions with their year, slot and source question number, without answer keys or solutions.








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