Question 1 of 59
ThinkCAT Practice SetQAAlgebra • IndicesEasy
. What is the value of ?
⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution
Algebra • Indices, Powers & Surds Practice Drills (60 Qs)• Convenor Master Key Verified
CAT Indices, Powers & Surds Practice Questions (55+ Questions)
Laws of Exponents, Surd Rationalization, Radical Equations, and Exponential Equations
59 Total Questions
MCQ: 45 (+3 / -1)
TITA: 14 (0 Negative Penalty)
CAT Direct Answer Fact Sheet & Citation Summary
Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 2 November 2026
Curated Practice Bank
59 Qs
45 MCQ + 14 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: Indices, Powers & Surds Practice Drills
- 1Assuming \sqrt{x^2} = x without considering negative branch (|x|).
Interactive Problem Sets (6 Modules)
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Set 01: Indices
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Set 02: Indices
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Set 03: Indices
Difficulty: Easy
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Set 04: Indices
Difficulty: Moderate
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Set 05: Indices
Difficulty: Hard
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Set 06: Indices
Difficulty: Hard
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Official Exam Questions & Explanations (25 of 59)
Sorted in official convenor sequenceThinkCAT Pro Topic DrillQA • Algebra
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3,400+ Extra Drills
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30 Sectional Sprints
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₹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 22 of 59
ThinkCAT Practice SetQAAlgebra • IndicesEasy
If , find the value of .
⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution
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 Indices, Powers & Surds Practice Questions (55+ Questions)
What concepts are covered in the Indices, Powers & Surds Practice Drills practice module?
This module covers Indices with 60 verified problems ranging from core foundation to high-difficulty CAT exam hall level.
What is the recommended solving time for Indices, Powers & Surds Practice Drills questions?
The ideal target pace is 1.5 to 2.0 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 Indices, Powers & Surds Practice Drills?
Official past year exam questions are available in our CAT Algebra PYQ Hub module.
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