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Inequalities MCQs (Free Practice Questions)

Practice 10 carefully selected Inequalities MCQs with explanations. Continue practicing 500+ chapter-wise questions inside the Exam Sprinter app.

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🤖 Quick AI Summary

Inequalities is a key topic in Algebra for the GMAT Focus Edition exam. It covers essential principles, core formulas, and practical problem-solving methods tested in previous years. This page offers a complete cheat sheet, standard formulas, and 10 interactive sample practice questions with detailed solutions.

What is Inequalities?

Inequalities covers the essential principles and concepts required for GMAT Focus Edition.

💡 Why Study Inequalities?

Highly important, frequently tested on the GMAT Focus Edition.

ParameterDetails / Relevance
Target ExamGMAT Focus Edition
Subject CategoryAlgebra
Recommended Study Duration10 Hours
Expected Questions2 Questions
Difficulty IndexHard
Interactive Solved MCQs10 Questions (Complete Explanations)
Adaptive App Practice500+ Questions & AI Tutor Supported

⚠️ Common Pitfalls to Avoid

  • Neglecting foundational prerequisites (make sure you review related chapters in the learning path).
  • Calculation and sign convention errors during numerical steps.
  • Confusing intermediate results with the final correct answer options.

🗺️ Recommended learning path

Quadratic EquationsInequalities (Current)Functions

What You Will Learn

  • Inequalities Fundamentals
  • Key applications of Inequalities
  • Advanced problem solving in Inequalities

Cheat Sheet & Formulas

  • $$\text{Work} = \text{Rate} \times \text{Time}$$
  • $$\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}$$

Practice Questions

Q1
60sHard

If 2x53=4\frac{2x - 5}{3} = 4, what is the value of xx?

Q2
65sMedium

A container contains a mixture of milk and water in the ratio 3:13 : 1. If 55 liters of water are added, the new ratio of milk to water becomes 1:11 : 1. How many liters of milk were initially in the container?

Q3
70sEasy

If 4x53=6\frac{4x - 5}{3} = 6, what is the value of xx?

Q4
75sHard

A container contains a mixture of milk and water in the ratio 5:15 : 1. If 77 liters of water are added, the new ratio of milk to water becomes 1:11 : 1. How many liters of milk were initially in the container?

Q5
80sMedium

If 6x53=8\frac{6x - 5}{3} = 8, what is the value of xx?

Q6
85sEasy

A container contains a mixture of milk and water in the ratio 7:17 : 1. If 99 liters of water are added, the new ratio of milk to water becomes 1:11 : 1. How many liters of milk were initially in the container?

Q7
90sHard

If 8x53=10\frac{8x - 5}{3} = 10, what is the value of xx?

Q8
95sMedium

A container contains a mixture of milk and water in the ratio 9:19 : 1. If 1111 liters of water are added, the new ratio of milk to water becomes 1:11 : 1. How many liters of milk were initially in the container?

Q9
100sEasy

If 10x53=12\frac{10x - 5}{3} = 12, what is the value of xx?

Q10
105sHard

A container contains a mixture of milk and water in the ratio 11:111 : 1. If 1313 liters of water are added, the new ratio of milk to water becomes 1:11 : 1. How many liters of milk were initially in the container?

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Frequently Asked Questions

Is Inequalities difficult for the exam?

Yes, Inequalities requires strong conceptual clarity and practice of standard GMAT Focus Edition style questions.

Key Takeaways for Inequalities

  • High exam relevance: 2 questions on average are expected from this chapter.
  • Standard formulas: Comprehensive formula sheets and formulas are fully covered in the cheat sheet section above.
  • Practice and explanation: 10 standard MCQs are solved step-by-step to clarify common numerical and conceptual methods.
  • Step-by-step learning: Start with the formulas, work through the questions, and then download the mobile app for extensive practice.

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