GMAT Inequalities Practice Questions help students strengthen their algebra skills and prepare for GMAT Quant. By solving GMAT Inequalities Practice Questions with solutions, you can understand inequality rules, improve accuracy and develop efficient problem-solving techniques. These GMAT Inequalities Practice Questions cover linear inequalities, negative numbers, compound inequalities and squares, helping you approach quantitative problems with greater confidence.
Why Practise GMAT Inequalities Practice Questions?
Practising GMAT Inequalities Practice Questions helps you understand mathematical relationships, avoid common mistakes and solve algebra problems efficiently. Regular practice also helps you recognise question patterns and manage your time effectively. Including GMAT Inequalities Practice Questions in your study plan can strengthen your quantitative reasoning and improve your understanding of essential algebra concepts.
GMAT Inequalities Practice Questions with Solutions
Question 1: Linear Inequalities
If (3x-5>10), what is the minimum possible value of (x), assuming (x) is an integer?
A. 4
B. 5
C. 6
D. 7
Solution:
(3x-5>10)
(3x>15)
(x>5)
Since (x) is an integer, the minimum possible value is 6 (Option C).
Shortcut: Isolate the variable and check whether the boundary value is included. This technique is useful for GMAT Inequalities Practice Questions involving integer restrictions.
Question 2: Inequalities with Negative Numbers
If (-4x<12), which statement must be true?
A. (x<-3)
B. (x>-3)
C. (x<3)
D. (x>3)
Solution:
Divide both sides by (-4) and reverse the inequality sign.
(x>-3)
Answer: Option B.
When solving GMAT Inequalities Practice Questions, remember that multiplying or dividing by a negative number reverses the inequality sign.
Question 3: Compound Inequalities
If (2<x+1\leq7), what is the range of (x)?
Solution:
Subtract 1 from all three parts:
(1<x\leq6)
Answer: (1<x\leq6).
This method is essential for GMAT Inequalities Practice Questions involving multiple conditions. Apply the same mathematical operation to every part of the inequality.
Question 4: Squaring Inequalities
If (x>3), which statement must be true?
A. (x^2>6)
B. (x^2>9)
C. (x^2<9)
D. (x^2=9)
Solution:
Since (x>3), the variable is positive and greater than 3. Squaring both sides gives (x^2>9).
Answer: Option B.
For GMAT Inequalities Practice Questions involving squares, always consider the possible values of the variable before applying mathematical operations.
Shortcuts for GMAT Inequalities Practice Questions
Use these strategies to solve GMAT Inequalities Practice Questions more accurately:
- Reverse the sign: Reverse the inequality when multiplying or dividing by a negative number.
- Check boundary values: Distinguish between (>) and (\geq), or (<) and (\leq).
- Avoid assumptions: Do not assume a variable is an integer unless the question specifies it.
- Check positive and negative values: Squaring expressions requires attention to the variable’s range.
- Substitute possible values: Test valid values when a question asks which statement must always be true.
- Review mistakes: Revisit incorrect GMAT Inequalities Practice Questions to identify gaps in your understanding.
For more information about the skills assessed in Quantitative Reasoning, visit the official GMAT Exam Content guide.
Prepare for GMAT Quant with QDS Pro
Consistent practice with GMAT Inequalities Practice Questions can strengthen your algebra fundamentals, improve accuracy and build confidence. Expert guidance can help you understand difficult concepts, analyse mistakes and develop a structured preparation strategy.
QDS Pro offers flexible preparation options:
- GMAT Live Online Classes: Learn through guided online instruction.
- GMAT Offline Coaching Classes in Mumbai: Prepare through structured classroom coaching.
- GMAT Private Tutoring: Receive personalised support for challenging quantitative concepts.
Start practising GMAT Inequalities Practice Questions regularly and strengthen your GMAT Quant preparation with the right study plan and guidance.
Frequently Asked Questions
1. How can I improve at GMAT Inequalities Practice Questions?
Practise different question types, revise sign-reversal rules, test boundary values and review incorrect answers.
2. What do GMAT Inequalities Practice Questions cover?
They can cover linear inequalities, compound inequalities, negative numbers, squares and algebraic relationships.
3. Are inequalities useful for GMAT Quant preparation?
Yes. Understanding inequalities strengthens elementary algebra skills and supports quantitative problem-solving.
