Mastering CAT 2026 requires command over algebra, which accounts for ~35% of the Quantitative Aptitude section. This formula sheet covers linear, quadratic, and higher-order equations, inequalities, and logarithmic identities. Memorizing these essential formulas, combined with consistent practice, is the definitive strategy to achieve a 99+ percentile in your exam.
What is the Exam?
The Common Admission Test (CAT) is the gateway for admission into the prestigious Indian Institutes of Management (IIMs) and numerous other top-tier B-schools across India. As exam strategists at Exam Bhai, we define the CAT not merely as an aptitude test but as a test of decision-making under high-pressure, time-constrained environments. The Algebra section specifically tests a candidate's ability to manipulate variables, solve complex equations, and apply logical reasoning to functional patterns.
Key Highlights 2026
- Total Questions: Typically 66 (Variable).
- Sectional Weightage: Algebra usually holds the highest weightage in the Quantitative Ability (QA) section.
- Duration: 120 minutes (40 minutes per section).
- Difficulty Level: Moderate to High.
- Marking Scheme: $+3$ for correct, $-1$ for incorrect, $0$ for unattempted.
Syllabus 2026
Algebraic proficiency is broken down into specific sub-topics. Below is the curated syllabus for the 2026 session:
| Topic | Key Concepts | Expected Weightage |
|---|---|---|
| Linear Equations | Variable solutions, Word problems | 1-2 Questions |
| Quadratic Equations | Roots, Discriminant ($D$), Max/Min value | 2-3 Questions |
| Inequalities | Modulus, Range, Critical Points | 1-2 Questions |
| Progressions | AP, GP, HP, AGP | 2-3 Questions |
| Logarithms | Properties, Log Equations | 1-2 Questions |
| Functions | Maxima/Minima, Domain/Range | 2-3 Questions |
Exam Pattern
The CAT follows a strict structure. Understanding the section-wise distribution is vital for your practice free mock tests for Management on Exam Bhai sessions.
| Section | Number of Questions | Time Allotted |
|---|---|---|
| Verbal Ability & RC | 24 | 40 Minutes |
| Data Interpretation & LR | 20 | 40 Minutes |
| Quantitative Aptitude | 22 | 40 Minutes |
Eligibility Criteria
Candidates must refer to the official iimcat.ac.in portal for the most accurate and updated eligibility guidelines. Generally, the criteria include:
- Academic Qualification: A Bachelor's degree with at least 50% marks or equivalent CGPA (45% for SC, ST, and PwD categories).
- Final Year Students: Candidates appearing for their final year bachelor's degree examinations are eligible to apply.
- Professional Degrees: Candidates with professional degrees (CA/CS/ICWA) are also eligible provided they meet the percentage requirements.
Application Process
- Registration: Visit the official IIM CAT website.
- Verification: Complete registration using a valid email ID and mobile number.
- Application Form: Fill in personal, academic, and work experience details.
- Documents: Upload scanned photographs, signatures, and category certificates.
- Payment: Complete the application fee payment online via the payment gateway.
Preparation Strategy
At Exam Bhai, we emphasize that Algebra is not about rote memorization but about pattern recognition. To excel, you must solve daily sectional tests for Management on Exam Bhai to refine your speed.
Essential Formula Sheet
- Quadratic Equation: $ax^2 + bx + c = 0$. Roots are given by $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.
- Sum of Roots: $\alpha + \beta = -b/a$.
- Product of Roots: $\alpha \cdot \beta = c/a$.
- Arithmetic Progression: $a_n = a + (n-1)d$; $S_n = \frac{n}{2}[2a + (n-1)d]$.
- Logarithm Properties: $\log_a(xy) = \log_a x + \log_a y$; $\log_a(x^n) = n \log_a x$.
Integrating these into your comprehensive study schedule for Management on Exam Bhai will ensure you never miss a scoring opportunity. Always start by solving the easiest questions to build momentum.
Cut-Off Trends
Cut-offs are dynamic and depend on the difficulty level of the paper and the number of test-takers. According to the official iimcat.ac.in portal, top IIMs typically require a 99+ percentile for general category candidates. Historically, the sectional cut-off for the Quantitative section fluctuates between 80 to 85 percentile, though this varies significantly by institute.
Frequently Asked Questions
Q1: How much time should I dedicate to Algebra daily? A: Dedicate at least 1.5 to 2 hours daily, focusing on applying formulas to solve varied types of equations.
Q2: Is NCERT enough for CAT Algebra? A: NCERT provides the foundation, but CAT questions are application-based. You must practice advanced level problems beyond school textbooks.
Q3: How important is the discriminant in quadratic equations? A: Extremely important. It tells you the nature of the roots: $D > 0$ (real and distinct), $D = 0$ (real and equal), $D < 0$ (imaginary).
Q4: Can I use a calculator during the exam? A: Yes, an on-screen basic calculator is provided. However, do not rely on it for simple calculations; mental math is faster.
Q5: What if I am weak in Logarithms? A: Logarithms are formula-heavy. Memorize the basic properties, and practice at least 50 problems to gain confidence.
Q6: Does the order of attempting questions matter? A: Yes. Use the 'Round Method': First round, solve easy/quick questions. Second round, solve medium-difficulty ones. Skip extremely lengthy questions.
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