Question 1 of 98
ThinkCAT Practice SetQAArithmetic • Ratio, Proportion & VariationEasy
The ratio of the incomes of A and B is 5:3. If the income of A is $7500, what is the income of B?
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Arithmetic • Ratio, Proportion & Variation Practice Drills (100 Qs)• Convenor Master Key Verified
CAT Ratio, Proportion & Variation Practice Questions (95+ Questions)
Direct and Inverse Variation, Compound Ratios, Proportional Allocations, and Joint Variations
98 Total Questions
MCQ: 87 (+3 / -1)
TITA: 11 (0 Negative Penalty)
CAT Direct Answer Fact Sheet & Citation Summary
Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 3 November 2026
Curated Practice Bank
98 Qs
87 MCQ + 11 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: Ratio, Proportion & Variation Practice Drills
- 1Adding a constant to both numerator and denominator of a ratio and assuming the ratio remains unchanged.
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Official Exam Questions & Explanations (25 of 98)
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ThinkCAT Pro Topic DrillQA • Arithmetic
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ThinkCAT Pro Topic DrillQA • Arithmetic
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ThinkCAT Pro Topic DrillQA • Arithmetic
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ThinkCAT Pro Topic DrillQA • Arithmetic
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ThinkCAT Pro Topic DrillQA • Arithmetic
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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 • Arithmetic
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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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Verified Derivations
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ThinkCAT Pro Topic DrillQA • Arithmetic
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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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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 • Arithmetic
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 • Arithmetic
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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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Question 25 of 98
ThinkCAT Practice SetQAArithmetic • Ratio, Proportion & VariationModerate
If the ratio of the ages of two friends is 4:3 and the sum of their ages is 42 years, what will be the ratio of their ages after 6 years?
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Frequently Asked Questions about CAT Ratio, Proportion & Variation Practice Questions (95+ Questions)
What concepts are covered in the Ratio, Proportion & Variation Practice Drills practice module?
This module covers Ratio, Proportion & Variation with 100 verified problems ranging from core foundation to high-difficulty CAT exam hall level.
What is the recommended solving time for Ratio, Proportion & Variation 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 Ratio, Proportion & Variation Practice Drills?
Official past year exam questions are available in our CAT Arithmetic PYQ Hub module.
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