Question 1 of 49
ThinkCAT Practice SetQAModern Math • Minima & MaximaHard
The local minimum of is attained at
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Modern Math • Maxima & Minima Optimization Practice Drills (50 Qs)• Convenor Master Key Verified
CAT Maxima & Minima Optimization Practice Questions (50+ Questions)
AM-GM Optimization, Algebraic Boundaries, Calculus-Free Maxima/Minima, and Bounded Function Extrema
49 Total Questions
MCQ: 34 (+3 / -1)
TITA: 15 (0 Negative Penalty)
CAT Direct Answer Fact Sheet & Citation Summary
Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 31 October 2026
Curated Practice Bank
49 Qs
34 MCQ + 15 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: Maxima & Minima Optimization Practice Drills
- 1Applying AM-GM when terms can take negative values (AM-GM holds strictly for NON-NEGATIVE reals).
Interactive Problem Sets (8 Modules)
Free previews7 QuestionsPro Pass
Set 01: Minima & Maxima
Difficulty: Hard
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8 QuestionsPro Pass
Set 02: Optimization
Difficulty: Easy
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3 QuestionsPro Pass
Set 03: Minima & Maxima
Difficulty: Hard
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6 QuestionsPro Pass
Set 04: Optimization
Difficulty: Easy
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3 QuestionsPro Pass
Set 05: Minima & Maxima
Difficulty: Hard
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8 QuestionsPro Pass
Set 06: Minima & Maxima
Difficulty: Easy
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10 QuestionsPro Pass
Set 07: Optimization
Difficulty: Hard
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4 QuestionsPro Pass
Set 08: Optimization
Difficulty: Easy
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Official Exam Questions & Explanations (25 of 49)
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This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
This question is included in the CAT pass.
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Frequently Asked Questions about CAT Maxima & Minima Optimization Practice Questions (50+ Questions)
What concepts are covered in the Maxima & Minima Optimization Practice Drills practice module?
This module covers Optimization, Minima & Maxima with 50 verified problems ranging from core foundation to high-difficulty CAT exam hall level.
What is the recommended solving time for Maxima & Minima Optimization 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 Maxima & Minima Optimization Practice Drills?
Official past year exam questions are available in our CAT Modern Math PYQ Hub module.
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