Quadratic Equations questions account for nearly 5 per cent to 8 per cent of the entire CAT question paper. A good hold on Algebraic concepts helps candidates obtain a good score in Quantitative Aptitude as well as the DILR sections. In each session of the CAT exam, candidates can expect 1 - 2 direct questions.
In the CAT exam, apart from direct Quadratic Equations questions, candidates find the topic helpful in solving questions across DILR and other topics from CAT Quant syllabus. Candidates find CAT Quadratic Equations questions on:
- Roots and Coefficients Relationships
- Nature of Roots and Discriminant Analysis
- Graphs and Maxima/Minima of Quadratic Functions
A good hold on Quadratic Equations also helps in advanced CAT topics like Higher Degree Polynomials, Modulus and Absolute Value Functions, etc. This article hosts CAT Quadratic Equations questions with solution PDFs of varied difficulty levels for holistic preparation for the CAT exam.
- CAT Quadratic Equations Sample Questions with Solutions
- CAT Quadratic Equations Topic Breakdown
- How to Prepare for CAT Quadratic Equations?
- Explore More CAT Prep Content
- FAQs on CAT Quadratic Equations
CAT Quadratic Equations Sample Questions with Solutions
Check some of the CAT questions from Quadratic Equations with three-tier difficulty level:
Easy Difficulty
- Question 1: The number of integers that satisfy the equality (x2 - 5x + 7)x+1 = 1 is.
- Answer Type: TITA
Medium Difficulty
- Question 2: The product of the distinct roots of |x2 - x - 6| = x + 2 is.
- Answer Type: MCQ
- -24
- -16
- -4
- -8
- Question 3: If 9x2 + 2x - 3 - 4(3x2 + 2x - 2) + 27 = 0, then the product of all possible values of x is.
- Answer Type: MCQ
- 30
- 20
- 5
- 15
Hard Difficulty
- Question 4: A quadratic equation x2 + bx + c = 0 has two real roots. If the difference between the reciprocals of the roots is 1/3, and the sum of the reciprocals of the squares of the roots is 5/9, then the largest possible value of (b + c) is.
- Answer Type: TITA
CAT Quadratic Equations Topic Breakdown
When preparing for the CAT Quadratic Equations topic of CAT, candidates must ensure they have complete clarity of the following question types:
- Max/Min Values
- Roots
- Higher-Degree Reductions
- Inequalities and Ranges
How to Prepare for CAT Quadratic Equations?
Candidates preparing for Quadratic Equations must check the CAT preparation tips below:
- Standard Form: Know ax² + bx + c = 0 (where a ≠ 0).
- Roots & Coefficients: Memorise that the sum of roots equals -b/a and the product of roots equals c/a.
- Discriminant (D): Use D = b² - 4ac to determine if roots are real, equal, or imaginary.
- Factorisation: Split the middle term quickly when D is a perfect square.
- Solve previous years' CAT questions to understand how equations link with modulus and inequalities.
- Practice timer-based quizzes to ensure you can solve standard quadratic questions in under a minute.
Explore More CAT Prep Content
Find links to practice question papers from some topics to go through during CAT exam preparation.
FAQs on CAT Quadratic Equations
Check some FAQs while preparing for the CAT Quadratic Equations:
Commonly asked questions
Candidates can expect 1 to 2 questions from Quadratic Equations in the CAT exam. CAT Algebra section has about 7 to 9 questions.
Algebra is an important part of CAT Quant section. OF 7-8 Algebra based questions, 1-2 questions are directly based on Quadratic Equation.
Courseware on Quantitative Aptitude and Quantum CAT by Sarvesh Kumar Verma are the best books for mastering quadratic equations.
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CAT Exam
Student Forum
Anything you would want to ask experts?Answered 3 days ago
No, according to the estimated data, you would need a CAT cutoff of atleast 94 percentile to be qualified for final admission offer. Note that this percentile is not official and is only an estimate, since the institute does not release the cutoff publicly.
N
Contributor-Level 10
Answered 4 days ago
Yes, you can join IIM Kashipur without CAT, depending on the desired programme. You can get admission to any of the offered courses except MBA. Check the list below to know which exam is accepted for which programme.
- Executive MBA (EMBA): GMAT, IIM Kashipur EMAT (Executive Management Aptitude Test).
N
Contributor-Level 10
Answered 5 days ago
Candidates must maintain a dedicated formula sheet for properties of polygons, circle theorems, and mensuration formulas. Instead of memorising blindly, candidates must solve 15-20 problems for each sub-topic to understand how and when to apply each formula.
N
Contributor-Level 7
Answered 5 days ago
It is technically possible to get 99 percentile in CAT Quants if a candidates obtains a perfect score in Arithmetic and Algebra. However, it can be highly risky as CAT exam often has Geometry questions aligned with Algebra or Coordinate systems. Sometimes candidates must know two different concepts
D
Contributor-Level 7
Answered 5 days ago
Triangles (properties, similarity, congruence, and theorems) is the most heavily tested sub-topic in CAT exam. Other high-yield areas include Circles (tangents, chords, and cyclic quadrilaterals), Mensuration (area and volume of 2D/3D shapes), and Coordinate Geometry.
R
Contributor-Level 7
Answered 5 days ago
Geometry is a an important topic in the Quantitative Aptitude (QA) section. Candidates can typically expect 3 to 5 questions out of the 22 total QA questions, making up roughly 15% to 20% of the section.
B
Contributor-Level 7
Answered 6 days ago
Candidates should first understand basic concepts, including divisibility rules, prime factorisation, HCF and LCM, and remainders. They should then solve topic-wise practice questions and previous years' CAT questions to improve accuracy and problem-solving speed.
S
Contributor-Level 7
Answered 6 days ago
There is no fixed number of questions from the Number System in CAT. The number of questions varies across exam slots and years. Candidates should prepare the topic along with other important areas of Quantitative Aptitude.
A
Contributor-Level 7
Answered 6 days ago
Yes, the Number System is an important topic for CAT Quantitative Aptitude. Questions may test concepts such as divisibility, remainders, factors, and properties of integers. Candidates should also practise applying these concepts to different question types.
J
Contributor-Level 7
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