📘 Inequalities PDF with Shortcut Tricks, Questions, PYQs, MCQs with Detailed Solutions – Free Download Updated Latest 2025
Inequalities PDF : If you’re preparing for competitive exams like IBPS, SBI, SSC, UPSC, CAT, and others, mastering Inequality questions is a must. To help you succeed, GovernmentAdda.com offers a 100% Free Inequalities PDF packed with:
✅ Shortcut Tricks
✅ Previous Year Questions (PYQs)
✅ 100+ High-Level MCQs
✅ Step-by-step Solutions
✅ Exam-wise Strategy
📥 Download Free Inequality PDF Now from GovernmentAdda.com
📚 Table of Contents
- What are Inequalities in Reasoning?
- Why Are Inequality Questions Important?
- Types of Inequalities in Exams
- Shortcut Tricks to Solve Quickly
- PYQs (Previous Year Questions)
- High-Level MCQs with Solutions
- Free PDF Download Link
- FAQs on Inequality Questions
🔍 What are Inequalities in Reasoning?
Inequality Reasoning tests your ability to compare elements using signs like:
- Greater than (>)
- Less than (<)
- Greater than or equal to (≥)
- Less than or equal to (≤)
- Equal to (=)
- Not equal to (≠)
You’re asked to evaluate whether given conclusions logically follow the given statements.
📈 Importance of Inequality in Competitive Exams
| Exam | Expected Questions |
|---|---|
| IBPS PO/Clerk | 5 Questions |
| SBI PO/Clerk | 5 Questions |
| SSC CGL/CPO | 3–4 Questions |
| CAT | 2–3 Questions |
| LIC/NIACL | 4–6 Questions |
Mastering Inequalities can earn you 5/5 marks in less than 3 minutes with the right approach.
🔠 Types of Inequality Questions
- Direct Inequality – Single-line conclusions from symbols
- Coded Inequality – Symbols replaced with letters or other codes
- Reverse Inequality – Conclusions given in reverse order
- Either-Or Case – Situations where two conclusions cannot be simultaneously true
- Case-Based Logical Deduction
⚡ Shortcut Tricks for Solving Inequality Questions
🔹 Trick #1: Use the Symbol Chain
Form a chain from the statements like:
A > B = C ≤ D
From this, derive valid conclusions:
- A > C ✔
- A ≥ D ✖
🔹 Trick #2: Know Symbol Priorities
| Symbol | Priority Level |
|---|---|
| = | Highest |
| >, < | Medium |
| ≥, ≤ | Lowest |
Conclusion is valid only if symbols follow a consistent logical direction.
🔹 Trick #3: Either-Or Logic
Either-or is valid only if:
- Both conclusions are individually false
- They involve the same elements
- They are mutually exclusive
📘 PYQs – Previous Year Questions with Solutions
PYQ 1: SBI PO 2023
Statements: A > B = C ≥ D
Conclusion:
- A > D
- B ≤ A
✅ Solution:
- A > C ≥ D → A > D ✔
- B = C ≤ A → B ≤ A ✔
✅ Answer: Both follow
PYQ 2: IBPS Clerk 2022
Statements: P ≥ Q > R = S
Conclusion:
- P > S
- Q ≥ S
✅ Solution:
P ≥ Q > R = S → So,
- P > S ✔
- Q > S ✔
✅ Answer: Both follow
PYQ 3: SSC CGL Tier-1 2022
Statements: M > N = O < P
Conclusion:
- M > O
- M < P
✅ Solution:
- M > N = O → M > O ✔
- M and P have no direct relation ✖
✅ Answer: Only Conclusion 1 follows
🧠 Top 5 High-Level MCQs with Solutions
Q1. Statements: A > B ≤ C = D ≥ E
Conclusions:
- A > E
- B < D
✅ Solution:
- A > B ≤ C = D ≥ E → A > E ✔
- B ≤ C = D → B < D is not definite ✖
✅ Answer: Only 1 follows
Q2. Statements: X = Y > Z, Z ≥ W
Conclusions:
- Y > W
- W < X
✅ Solution:
Y > Z ≥ W → Y > W ✔
X = Y → X > W ✔
✅ Answer: Both follow
Q3. Statements: T ≤ U = V < W
Conclusions:
- T < W
- W > U
✅ Solution:
T ≤ U = V < W → T < W ✔
W > V = U → W > U ✔
✅ Answer: Both follow
Q4. Statements: M < N ≤ O = P
Conclusions:
- M < P
- P > N
✅ Solution:
M < N ≤ O = P →
- M < P ✔
- N ≤ P → Not necessarily P > N ✖
✅ Answer: Only Conclusion 1 follows
Q5. Statements: A ≥ B, B < C
Conclusions:
- A < C
- C > A
✅ Solution:
A ≥ B < C → A and C can’t be compared directly
✅ Answer: Neither follows
📥 Free Download – Inequalities PDF by GovernmentAdda.com
Get a complete free PDF with:
- ✅ 100+ Practice Questions
- ✅ All Types: Direct, Coded, Either-Or
- ✅ Chapter-wise Tricks
- ✅ Exam-wise Segregation (SBI, IBPS, SSC, CAT)
- ✅ Solutions with Explanation
📥 Download Now – Inequalities PDF
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| Feature | Description |
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| ✅ 100% Free PDFs | No signup required |
| 🧠 Conceptual Clarity | Step-by-step explanations |
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| 🧪 Real Exam Pattern | Based on SBI, IBPS, SSC trends |
🙋 Frequently Asked Questions (FAQs)
Q1. Is the Inequality PDF free to download?
✅ Yes, it’s absolutely free.
Q2. Does it include SBI & IBPS-level questions?
✅ Yes, the PDF covers all banking exam patterns.
Q3. Are shortcuts and tricks included?
✅ Yes, each section begins with shortcut techniques.
Q4. Can I use this for SSC and UPSC?
✅ Yes, it is ideal for SSC, Bank, CAT, and UPSC exams.
Q5. Does it include Either-Or case questions?
✅ Yes, over 20 Either-Or case questions with solutions are included.
🏁 Conclusion
Inequality reasoning is a high-scoring topic in every competitive exam. With proper strategies and daily practice, you can master this section quickly. Get the latest Inequalities PDF from GovernmentAdda.com and ace your preparation with:
- PYQs
- 100+ MCQs
- Shortcut Tricks
- Step-by-step Solutions
📥 Download Inequalities PDF Now – GovernmentAdda.com
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Complete Question Bank with Answers PDF
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