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Number Systems • Remainders & Modulo Theorems Practice Drills (46 Qs)• Convenor Master Key Verified

CAT Remainders & Theorems Practice Questions (45+ Questions)

Euler Totient Theorem, Wilson Theorem, Chinese Remainder Theorem, and Negative Remainders

46 Total Questions
MCQ: 38 (+3 / -1)
TITA: 8 (0 Negative Penalty)
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CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 1 November 2026
Curated Practice Bank
46 Qs
38 MCQ + 8 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: Remainders & Modulo Theorems Practice Drills

  • 1Applying Euler/Fermat theorem when base and divisor are not coprime.

Interactive Problem Sets (9 Modules)

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2 QuestionsFree preview

Set 01: Remainder

Difficulty: Easy
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Set 02: Remainder

Difficulty: Hard
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Set 03: Remainder

Difficulty: Easy
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Set 04: Remainder

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5 QuestionsPro Pass

Set 05: Remainder

Difficulty: Hard
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1 QuestionsPro Pass

Set 06: Remainder

Difficulty: Hard
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5 QuestionsPro Pass

Set 07: Remainder

Difficulty: Easy
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3 QuestionsPro Pass

Set 08: Remainder

Difficulty: Hard
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6 QuestionsPro Pass

Set 09: Remainder

Difficulty: Moderate
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Official Exam Questions & Explanations (25 of 46)

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3,400+ Extra Drills
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Question 7 of 46
ThinkCAT Practice SetQANumber Systems • RemainderEasy
What is the remainder when 123456789123456789 is divided by 88?
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ThinkCAT Pro Topic DrillQA • Number Systems

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Verified Derivations
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ThinkCAT Pro Topic DrillQA • Number Systems

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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.

3,400+ Extra Drills
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Verified Derivations
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ThinkCAT Pro Topic DrillQA • Number Systems

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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 • Number Systems

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 • Number Systems

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 • Number Systems

Unlock 3,400+ Curated Practice Questions & Timed Sprints

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3,400+ Extra Drills
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Frequently Asked Questions about CAT Remainders & Theorems Practice Questions (45+ Questions)

What concepts are covered in the Remainders & Modulo Theorems Practice Drills practice module?

This module covers Remainder with 46 verified problems ranging from core foundation to high-difficulty CAT exam hall level.

What is the recommended solving time for Remainders & Modulo Theorems Practice Drills questions?

The ideal target pace is 1.8 to 2.2 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 Remainders & Modulo Theorems Practice Drills?

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

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