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Algebra • Functions & Graphs Practice Drills (78 Qs)• Convenor Master Key Verified

CAT Functions & Graphs Practice Questions (75+ Questions)

Domain and Range, Composite Functions, Even-Odd Functions, Functional Equations, and Graph Transformations

78 Total Questions
MCQ: 59 (+3 / -1)
TITA: 19 (0 Negative Penalty)
Launch Functions & Graphs Practice Drills Drill in Study ModeSolve Questions on this Page

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 3 November 2026
Curated Practice Bank
78 Qs
59 MCQ + 19 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: Functions & Graphs Practice Drills

  • 1Finding values outside the domain of the inner function in composite functions.

Interactive Problem Sets (9 Modules)

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12 QuestionsPro Pass

Set 01: Functions

Difficulty: Easy
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8 QuestionsPro Pass

Set 02: Functions

Difficulty: Hard
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13 QuestionsPro Pass

Set 03: Functions

Difficulty: Hard
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9 QuestionsPro Pass

Set 04: Functions

Difficulty: Hard
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8 QuestionsPro Pass

Set 05: Functions

Difficulty: Easy
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5 QuestionsPro Pass

Set 06: Functions

Difficulty: Hard
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9 QuestionsPro Pass

Set 07: Functions

Difficulty: Hard
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6 QuestionsPro Pass

Set 08: Functions

Difficulty: Easy
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8 QuestionsPro Pass

Set 09: Functions

Difficulty: Hard
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Exam Hall Replica

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Official Exam Questions & Explanations (25 of 78)

Sorted in official convenor sequence
ThinkCAT Pro Topic DrillQA • Algebra

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3,400+ Extra Drills
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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 21 of 78
ThinkCAT Practice SetQAAlgebra • FunctionsHard
If f(x)=x2−5x+6f(x) = x^2 - 5x + 6 and g(x)=2x−3g(x) = 2x - 3, for which of the following values of xx does f(x)⋅g(x)=0f(x) \cdot g(x) = 0?
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ThinkCAT Pro Topic DrillQA • Algebra

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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
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Frequently Asked Questions about CAT Functions & Graphs Practice Questions (75+ Questions)

What concepts are covered in the Functions & Graphs Practice Drills practice module?

This module covers Functions with 78 verified problems ranging from core foundation to high-difficulty CAT exam hall level.

What is the recommended solving time for Functions & Graphs Practice Drills questions?

The ideal target pace is 2.0 to 2.5 mins / question. Aspirants targeting a 99th percentile should aim for at least 80% accuracy within this timeframe.

Where can I find official past year CAT papers for Functions & Graphs Practice Drills?

Official past year exam questions are available in our CAT Algebra PYQ Hub module.

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