Question 1 of 358
ThinkCAT Practice SetQAModern Math • Permutation & CombinationEasy
How many ways can the letters of the word 'CAT' be arranged?
⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution
Modern Math Practice Hub (QA) • 360 Qs• Convenor Master Key Verified
CAT Modern Math Practice Questions & Drills
High-Yield Permutations & Combinations, Probability, Set Theory, and Maxima-Minima Optimization Drills
358 Total Questions
MCQ: 289 (+3 / -1)
TITA: 69 (0 Negative Penalty)
CAT Direct Answer Fact Sheet & Citation Summary
Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 1 November 2026
Curated Practice Bank
358 Qs
289 MCQ + 69 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.
Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)
Exam Hall Pitfalls & Elimination Tactics: Modern Math
- 1Double counting overlapping selections when identical items are present.
- 2Treating independent events as mutually exclusive (mutually exclusive events have P(A \cap B) = 0).
Interactive Problem Sets (16 Modules)
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Set 01: Permutation & Combination
Difficulty: Easy
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Set 02: Set Theory
Difficulty: Easy
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24 QuestionsPro Pass
Set 03: Permutation & Combination
Difficulty: Hard
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Set 04: Minima & Maxima
Difficulty: Hard
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Set 05: Permutation & Combination
Difficulty: Moderate
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Set 06: Set Theory
Difficulty: Easy
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Set 07: Probability
Difficulty: Easy
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Set 08: Permutation & Combination
Difficulty: Hard
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Set 09: Set Theory
Difficulty: Easy
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Set 10: Permutation & Combination
Difficulty: Hard
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Set 11: Set Theory
Difficulty: Moderate
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Set 12: Permutation & Combination
Difficulty: Hard
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Set 13: Permutation & Combination
Difficulty: Easy
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25 QuestionsPro Pass
Set 14: Set Theory
Difficulty: Easy
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22 QuestionsPro Pass
Set 15: Probability
Difficulty: Hard
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25 QuestionsPro Pass
Set 16: Permutation & Combination
Difficulty: Easy
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Official Exam Questions & Explanations (25 of 358)
Sorted in official convenor sequenceThinkCAT Pro Topic DrillQA • Modern Math
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ThinkCAT Pro Topic DrillQA • Modern Math
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ThinkCAT Pro Topic DrillQA • Modern Math
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ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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ThinkCAT Pro Topic DrillQA • Modern Math
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ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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30 Sectional Sprints
40-minute timed drills with RTI percentile curves
Verified Derivations
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Exam-Month Discount (Code: CAT200 applied)
₹799 ₹2,499
ThinkCAT Pro Topic DrillQA • Modern Math
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3,400+ Extra Drills
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ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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30 Sectional Sprints
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Exam-Month Discount (Code: CAT200 applied)
₹799 ₹2,499
ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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ThinkCAT Pro Topic DrillQA • Modern Math
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ThinkCAT Pro Topic DrillQA • Modern Math
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ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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ThinkCAT Pro Topic DrillQA • Modern Math
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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.
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ThinkCAT Pro Topic DrillQA • Modern Math
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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
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Exam-Month Discount (Code: CAT200 applied)
₹799 ₹2,499
ThinkCAT Pro Topic DrillQA • Modern Math
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
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30 Sectional Sprints
40-minute timed drills with RTI percentile curves
Verified Derivations
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Exam-Month Discount (Code: CAT200 applied)
₹799 ₹2,499
ThinkCAT Pro Topic DrillQA • Modern Math
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
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30 Sectional Sprints
40-minute timed drills with RTI percentile curves
Verified Derivations
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Exam-Month Discount (Code: CAT200 applied)
₹799 ₹2,499
ThinkCAT Pro Topic DrillQA • Modern Math
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
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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 • Modern Math
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 • Modern Math
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
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Question 24 of 358
ThinkCAT Practice SetQAModern Math • Set TheoryEasy
If and A \cap B$?
⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution
ThinkCAT Pro Topic DrillQA • Modern Math
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Exam-Month Discount (Code: CAT200 applied)
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Frequently Asked Questions about CAT Modern Math Practice Questions & Drills
How many Modern Math practice questions are in this collection?
This repository contains 360 curated CAT Modern Math practice questions organized by subtopic and difficulty (Easy, Moderate, Hard).
What is the historical weightage of Modern Math in the CAT exam?
2 to 4 Questions in QA Section (~10–15% of QA weightage). Excelling in Modern Math 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 Modern Math Previous Year Questions (2017–2025) archive.
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