Algebra Practice Hub (QA) • 626 Qs• Convenor Master Key Verified

CAT Algebra Practice Questions & Drills

Extensive Algebra Practice Covering Quadratics, Linear Equations, Functions, Logarithms, Polynomials, and Inequalities with Verified Solutions

679 Total Questions

MCQ: 543 (+3 / -1)

TITA: 136 (0 Negative Penalty)

Solve Algebra Questions in Timed Mode Solve Questions on this Page

Official Exam Fact Sheet & Direct Answer Snapshot

Verified IIM Convenor Normalization & Question Paper Blueprint

Fact-Checked Archive

Curriculum Domain

CAT Algebra

High-Yield Drill

Target Solving Speed

1.8 to 2.2 mins / question

Per Question Pace

Exam Weightage

6 to 8 Questions in QA Section (~25–35% of QA weightage)

Section Share

Marking Scheme

+3 / -1 / 0

Zero TITA Penalty

CAT Algebra Practice Questions & Drills: This official paper archive contains 679 verified CAT questions curated directly from IIM convenor response sheets. The marking scheme follows standard CAT rules: +3 marks for correct MCQs, -1 mark for incorrect MCQs, and zero negative marking penalty for 136 TITA questions. All solutions provide step-by-step mathematical derivations, official convenor response keys, and full 1:1 TCS iON CBT simulator compatibility.

Cross-verified against convenor response sheets by Team ThinkCATLast Audited: October 2026 • 1:1 TCS iON Simulator

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis

Updated for CAT 2026: 1 November 2026

Curated Practice Bank

679 Qs

543 MCQ + 136 TITA

99%ile Score Benchmark

28–31 Marks (out of 66 in QA, ~10 net correct questions)

Scoring Scheme

+3 / -1 / 0

Zero penalty on TITA

Testing Interface

TCS iON CBT

On-Screen Calc Enabled

IIM Exam Strategy & Score Maximization Directives

1Prioritize high-yield arithmetic & algebra questions first to secure the 85th percentile sectional cutoff in the first 20 minutes.

2TITA questions carry zero negative penalty (0 marks for wrong answers); attempt all TITA questions before the sectional timer runs out.

3Use the on-screen digital calculator only for complex 3-digit divisions; mental math approximations save 35–45 seconds per question.

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Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.

Citation Format: ThinkCAT Academic Archive (thinkcat.in)

Exam Hall Pitfalls & Elimination Tactics: Algebra

Tactical Insights

1Extraneous roots: Squaring both sides of an equation can introduce false solutions; always substitute back.
2Modulus boundary points: Forgetting that |x - a| changes signs at x = a.
3Logarithm Domain restrictions: Ensuring arguments strictly satisfy x > 0 and base b > 0, b \neq 1.

Interactive Problem Sets (28 Modules)

Free previews

24 QuestionsFree preview

Exam Hall Replica

Attempt under official TCS iON 40-Min countdown timer

Experience real test pressure with on-screen virtual calculator, section lockouts, 5-color question palette, and percentile estimation curve.

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Official Exam Questions & Explanations (25 of 679)

Sorted in official convenor sequence

Question 1 of 679

ThinkCAT Practice SetQAAlgebra • Linear EquationEasy

2x + 3 = 7

, what is the value of

x

Practice More Questions

⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution

Official Convenor Answer Key: B

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

ThinkCAT Pro Topic DrillQA • Algebra

Unlock 3,400+ Curated Practice Questions & Timed Sprints

This question is part of ThinkCAT Pro. Upgrade to unlock step-by-step verified derivations, shortcut methods, trap warnings, and 30 timed 40-minute sectional sprints.

3,400+ Extra Drills

Topic-by-topic CAT practice with zero repetition

30 Sectional Sprints

40-minute timed drills with RTI percentile curves

Verified Derivations

IIM convenor verified steps and shortcut methods

Exam-Month Discount (Code: CAT200 applied)

₹799 ₹2,499

Question 25 of 679

ThinkCAT Practice SetQAAlgebra • InequalitiesEasy

2x - 3 > 5

, what is the minimum possible integer value of

x

Practice More Questions

⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution

Official Convenor Answer Key: C

+654 More Verified Questions Available

Practice the complete collection of 679 questions in our interactive CBT practice interface with personal progress tracking.

Practice All 679 Questions in CBT Mode

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Frequently Asked Questions about CAT Algebra Practice Questions & Drills

How many Algebra practice questions are in this collection?

This repository contains 626 curated CAT Algebra practice questions organized by subtopic and difficulty (Easy, Moderate, Hard).

What is the historical weightage of Algebra in the CAT exam?

6 to 8 Questions in QA Section (~25–35% of QA weightage). Excelling in Algebra is critical for securing a 99.0+ percentile.

Are these practice questions accompanied by past year CAT questions?

Yes! You can explore verified official past year questions for this section in our dedicated CAT Algebra Previous Year Questions (2017–2025) archive.

Related CAT Papers & Topic Mastery Hubs

Explore other slots, sections, and high-weightage topic collections

View Full Archive

Official PYQ

CAT Direct Answer Fact Sheet & Citation Summary

Exam Hall Pitfalls & Elimination Tactics: Algebra

Interactive Problem Sets (28 Modules)

Set 01: Linear Equation

Set 02: Inequalities

Set 03: Polynomials

Set 04: Indices

Set 05: Progression & Series

Set 06: Functions

Set 07: Linear Equation

Set 08: Progression & Series

Set 09: Functions

Set 10: Quadratic Equations

Set 11: Linear Equation

Set 12: Polynomials

Set 13: Indices

Set 14: Quadratic Equations

Set 15: Progression & Series

Set 16: Linear Equation

Set 17: Indices

Set 18: Quadratic Equations

Set 19: Linear Equation

Set 20: Polynomials

Set 21: Modulus

Set 22: Functions

Set 23: Progression & Series

Set 24: Linear Equation

Set 25: Inequalities

Set 26: Quadratic Equations

Set 27: Progression & Series

Set 28: Integral Solutions

Attempt under official TCS iON 40-Min countdown timer

Official Exam Questions & Explanations (25 of 679)

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock 3,400+ Curated Practice Questions & Timed Sprints

Unlock All 24 Full-Length Official Mocks & 6,000+ Questions

Frequently Asked Questions about CAT Algebra Practice Questions & Drills

How many Algebra practice questions are in this collection?

What is the historical weightage of Algebra in the CAT exam?

Are these practice questions accompanied by past year CAT questions?

Related CAT Papers & Topic Mastery Hubs

CAT Algebra Previous Year Questions (2017–2025)

Quadratic Equations Practice Drills

Functions & Graphs Practice Drills

Linear Equations Practice Drills

Progressions & Series Practice Drills

Full CAT Practice Library