Complete Guide to cat quant topic wise question bank with solutions 2026

Get instant access to our comprehensive CAT quant topic wise question bank with solutions for 2026, featuring over 1500+ high-yield practice questions spanning Arithmetic, Algebra, Geometry, Modern Math, and Number Systems, fully solved with shortcut techniques, alternative methods, and exact IIM-level exam difficulty.

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What is the Exam?

The Common Admission Test, universally known as CAT, is India's premier computer-based management entrance examination. Conducted annually on a rotational basis by the prestigious Indian Institutes of Management (IIMs), this examination is the gateway to post-graduate management programs (MBA/PGDM) across 21 IIMs, FMS Delhi, SPJIMR Mumbai, MDI Gurgaon, IITs, and hundreds of other tier-one business schools in India.

As expert exam strategists at Exam Bhai, we have observed that CAT remains one of the most competitive management entrances globally, testing a candidate's aptitude, decision-making speed, and analytical capabilities under extreme time constraints. The exam does not merely check your memory; it evaluates your ability to apply fundamental mathematical and logical principles to completely novel, complex problem scenarios.

Key Highlights 2026

For aspirants targeting the upcoming admission cycle, understanding the operational landscape of the exam is paramount. Below, we have compiled the definitive highlights for the 2026 iteration based on the latest conventions authorized by the convening authorities.

• Conducting Institute: Rotational basis among top IIMs (such as IIM Bangalore, IIM Ahmedabad, or IIM Calcutta).
• Exam Mode: Computer Based Test (CBT) administered across designated national centers.
• Number of Test Slots: Three distinct sessions (Morning, Afternoon, and Evening slots) held on a single Sunday in late November.
• Core Focus Area: Higher-order cognitive application across Verbal Ability, Data Interpretation, and Quantitative Aptitude.
• Scientific Calculator Availability: An on-screen virtual calculator is provided, though it lacks advanced trigonometric or algebraic functions, emphasizing the need for clean, manual mental calculation workflows.

Syllabus 2026

The Quantitative Aptitude (QA) section is traditionally divided into five distinct mathematical blocks. To secure a 99+ percentile, your preparation must treat every module with specific tactical focus. We have broken down the comprehensive syllabus in the structural table below.

Mathematical Module	Core Sub-Topics & Concepts Covered	Estimated Weightage (%)
Arithmetic	Percentages, Profit & Loss, Simple & Compound Interest, Ratios & Proportions, Averages, Mixtures & Alligations, Time, Speed & Distance (TSD), Work & Time	40% - 45%
Algebra	Linear & Quadratic Equations, Polynomials, Inequalities, Logarithms, Progressions (AP, GP, HP), Functions & Graphs, Maxima & Minima	25% - 30%
Geometry & Mensuration	Lines & Angles, Triangles (Properties, Congruence, Similarity), Circles, Polygons, Coordinate Geometry, Trigonometry foundations, 2D/3D Mensuration	15% - 18%
Number Systems	Divisibility Rules, Remainders (Euler, Fermat, Wilson theorems), Last & Last Two Digits, LCM & HCF, Factors & Multipliers, Base System Conversions	8% - 10%
Modern Mathematics	Permutations & Combinations (P&C), Probability, Set Theory & Venn Diagrams, Binomial Theorem, Sequence & Series summation	8% - 10%

Exam Pattern

Navigating the structural constraints of the exam requires precise time-management skills. The entire paper is bound by strict sectional time limits, meaning you cannot hop between sections. You must complete the designated section before the interface unlocks the next segment.

Section Name	Total Number of Questions	Time Allocation	Question Type Distribution
Section I: Verbal Ability & Reading Comprehension (VARC)	24 Questions	40 Minutes	~18 Multiple Choice (MCQs), ~6 Type In The Answer (TITA)
Section II: Data Interpretation & Logical Reasoning (DILR)	20 Questions	40 Minutes	~15 Multiple Choice (MCQs), ~5 Type In The Answer (TITA)
Section III: Quantitative Aptitude (QA)	22 Questions	40 Minutes	~14 Multiple Choice (MCQs), ~8 Type In The Answer (TITA)
TOTAL SUMMARY	66 Questions	120 Minutes (2 Hours)	47 MCQs + 19 TITA Questions

Marking Scheme Dynamics:

• Multiple Choice Questions (MCQs): +3 marks for every correct submission; -1 mark for every incorrect deduction.
• Non-MCQs / Type In The Answer (TITA): +3 marks for every correct submission; 0 marks for incorrect deductions (No Negative Marking).

To build structural familiarity with this exact environment, candidates must repeatedly simulate actual test conditions. We strongly recommend that you practice free mock tests for Management on Exam Bhai to adapt your internal biological clock to the 40-minute sectional pressure lock.

Eligibility Criteria

Before diving deep into your academic resources, verifying compliance with the standard institutional eligibility parameters is vital. According to notifications maintained on the national education portal archives and standard advisory parameters mapped via ssc.nic.in and related central evaluation frameworks, the criteria stand as follows:

• Minimum Qualification: The applicant must hold a Bachelor's Degree or an equivalent qualification recognized by the Ministry of Education, Government of India.
• Graduation Marks Threshold: General, EWS, and NC-OBC candidates require a minimum of 50% aggregate marks or equivalent CGPA. Candidates belonging to Scheduled Caste (SC), Scheduled Tribe (ST), and Persons with Benchmark Disabilities (PwBD) receive a relaxation, requiring a minimum of 45% aggregate marks.
• Final Year Candidates: Students currently enrolled in the final year of their Bachelor's degree or those awaiting final results are fully eligible to apply, provided they submit an official certificate from their Principal/Registrar verifying their academic status.
• Age Limit & Attempts: There is absolutely no upper age restriction, nor is there a ceiling on the total number of lifetime attempts.

Application Process

The registration pipeline is completely digitalized and opens annually during the first week of August, closing by the mid-week of September. Follow this streamlined operational workflow to complete your application safely:

1. Portal Registration: Navigate to the official IIM CAT portal to create a unique User ID and password by validating your active mobile number and email address.
2. Profile Completion: Fill in your personal information, detailed academic records from Class 10 onwards, and exhaustive employment history (for working professionals).
3. Document Upload: Upload scanned copies of your recent passport-sized photograph, signature, and valid category certificates (SC/ST/OBC/NC/PwBD) if applicable, ensuring strict adherence to the specified file dimensions and pixel densities.
4. City & Program Selection: Select your preferred IIM interview programs along with six distinct test city preferences in order of convenience.
5. Application Fee Payment: Execute the online processing fee through credit/debit facilities, UPI, or net banking channels. Once the transaction is successful, download and print your confirmation summary page for safety.

Preparation Strategy

Succeeding in Quantitative Aptitude demands an evolution from rote learning to dynamic logic. Our seasoned pedagogical mentors at Exam Bhai recommend a clear, three-phase framework:

Phase 1: Conceptual Architecture (Months 1-3)

Do not rush into solving composite test papers immediately. Focus completely on topic-wise breakdowns. If you are studying Arithmetic, isolate Percentages first. Understand the core fraction-to-percentage conversions by heart. When you finish a sub-topic, immediately access our modular practice free mock tests for Management on Exam Bhai to lock the foundational theory into active cognitive memory.

Phase 2: Structural Speed Building & Shortcuts (Months 4-5)

Once your concepts are stable, pivot toward maximizing efficiency. Start practicing standard elimination methods. Learn how to plug options back into complex algebraic functions to bypass traditional, lengthy derivations. When utilizing our specialized CAT quant topic wise question bank with solutions, do not merely read the correct answers—study our alternative solutions that demonstrate how to eliminate three incorrect choices in under 45 seconds.

Phase 3: High-Intensity Sectional Mock Drills (Months 6-7)

In the final stretch, your preparation must mimic the physical constraints of the real exam environment. Treat every 22-question set as an isolated, high-pressure zone. Spend 15 minutes selecting the easiest 8-10 questions (the low-hanging fruit), then allocate the remaining time to solving them with absolute mathematical accuracy. To ensure your strategies hold up under stress, continuously challenge yourself by taking practice free mock tests for Management on Exam Bhai on a weekly basis.

Cut-Off Trends

Analyzing historical benchmarks helps you realistic calibrate your target score. Percentiles fluctuate based on the relative difficulty profile of the slots. Drawing from official institutional outcome databases compiled by central educational research cells and published trends across higher education analytics tracks (akin to ssc.nic.in benchmarks), we have mapped out the approximate raw score targets required to clear the respective percentile brackets.

Target Percentile Bracket	Required Scaled Score (Arithmetic)	Required Scaled Score (Algebra)	Total Estimated Raw QA Score / 66
99.5+ Percentile	15 - 18 Marks	12 - 15 Marks	33 - 36 Marks (11-12 Correct Questions)
99.0 Percentile	12 - 14 Marks	9 - 11 Marks	27 - 30 Marks (9-10 Correct Questions)
95.0 Percentile	9 - 11 Marks	6 - 8 Marks	18 - 21 Marks (6-7 Correct Questions)
90.0 Percentile	6 - 8 Marks	4 - 5 Marks	13 - 15 Marks (4-5 Correct Questions)

Strategic Insight: You do not need to attempt all 22 questions to achieve a 99th percentile in the Quant section. Selecting just 10 questions and solving them with 100% accuracy will comfortably position you in the top tier nationwide.

Frequently Asked Questions

1. Can a non-engineering student score a 99 percentile using a CAT quant topic wise question bank with solutions?

Absolutely. The quantitative aptitude section explicitly tests mathematical concepts up to Class 10 standards. Engineers often hold an initial edge in speed and calculation comfort, but non-engineering aspirants frequently bridge this gap through structured, topic-wise practice. By systematically working through a dedicated question bank, mastering arithmetic, and focusing on accuracy over speed, anyone can secure a 99+ percentile.

2. Why should I prioritize a topic-wise question bank over mixed full-length mock tests early in my preparation?

Mixed question papers can easily overwhelm you if your conceptual foundations are still shaky. A topic-wise question bank lets you isolate specific problem areas, like Logarithms or TSD, and fix them systematically. This targeted approach helps build muscle memory for distinct problem archetypes, ensuring you can quickly identify the core concept when you face them in mixed-topic tests later on.

3. What are TITA questions in the Quant section, and do they carry negative marking?

TITA stands for 'Type In The Answer'. These are non-multiple-choice questions where no options are provided on-screen; you must manually type your final numerical answer using the virtual keyboard. TITA questions do not carry any negative marking, meaning your score will not be penalized for an incorrect guess. You should always attempt every single TITA question in the section.

4. How much time should I ideally dedicate to solving the Quant question bank every day?

We recommend dedicating at least 2 to 3 hours daily to quantitative aptitude, dividing your time equally between concept learning and active problem-solving. Use the first hour to understand the underlying theory and mathematical properties of a sub-topic, and spend the remaining two hours solving at least 30 to 40 practice problems from your topic-wise question bank.

5. Is the on-screen virtual calculator useful for solving complex questions during the actual exam?

The on-screen virtual calculator is quite basic and controlled via mouse clicks, which can be slow and clumsy to use. It is helpful for cross-checking heavy calculations, like multi-digit division or compound interest roots, but relying on it for basic math will slow you down. Focus on strengthening your mental math and estimation skills during your practice sessions instead.

6. What should I do if my accuracy drops significantly when transitioning from untimed practice to timed sectionals?

This is a very common challenge. A drop in accuracy usually means your conceptual understanding relies on having plenty of time to figure things out, which falls apart under pressure. To fix this, introduce an intermediate step into your routine: practice small, untimed blocks of 10 questions first, then move on to 20-minute mini-quizzes, and finally graduate to the official 40-minute sectional mocks.