📘 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

1. What are Inequalities in Reasoning?
2. Why Are Inequality Questions Important?
3. Types of Inequalities in Exams
4. Shortcut Tricks to Solve Quickly
5. PYQs (Previous Year Questions)
6. High-Level MCQs with Solutions
7. Free PDF Download Link
8. 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

1. Direct Inequality – Single-line conclusions from symbols
2. Coded Inequality – Symbols replaced with letters or other codes
3. Reverse Inequality – Conclusions given in reverse order
4. Either-Or Case – Situations where two conclusions cannot be simultaneously true
5. 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:

1. A > D
2. B ≤ A

✅ Solution:

1. A > C ≥ D → A > D ✔
2. B = C ≤ A → B ≤ A ✔
   ✅ Answer: Both follow

---

PYQ 2: IBPS Clerk 2022

Statements: P ≥ Q > R = S
Conclusion:

1. P > S
2. Q ≥ S

✅ Solution:
P ≥ Q > R = S → So,

1. P > S ✔
2. Q > S ✔
   ✅ Answer: Both follow

---

PYQ 3: SSC CGL Tier-1 2022

Statements: M > N = O < P
Conclusion:

1. M > O
2. M < P

✅ Solution:

1. M > N = O → M > O ✔
2. 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:

1. A > E
2. B < D

✅ Solution:

1. A > B ≤ C = D ≥ E → A > E ✔
2. B ≤ C = D → B < D is not definite ✖
   ✅ Answer: Only 1 follows

---

Q2. Statements: X = Y > Z, Z ≥ W

Conclusions:

1. Y > W
2. W < X

✅ Solution:
Y > Z ≥ W → Y > W ✔
X = Y → X > W ✔
✅ Answer: Both follow

---

Q3. Statements: T ≤ U = V < W

Conclusions:

1. T < W
2. W > U

✅ Solution:
T ≤ U = V < W → T < W ✔
W > V = U → W > U ✔
✅ Answer: Both follow

---

Q4. Statements: M < N ≤ O = P

Conclusions:

1. M < P
2. P > N

✅ Solution:
M < N ≤ O = P →

1. M < P ✔
2. N ≤ P → Not necessarily P > N ✖
   ✅ Answer: Only Conclusion 1 follows

---

Q5. Statements: A ≥ B, B < C

Conclusions:

1. A < C
2. 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

---

✅ Why Use GovernmentAdda.com?

Feature	Description
📚 High-Quality Content	Created by exam experts
✅ 100% Free PDFs	No signup required
🧠 Conceptual Clarity	Step-by-step explanations
📲 Mobile-Friendly	Easy to access on phones & tablets
🧪 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

---

 

Please Support us Like & Share Our Social Network
Facebook	https://www.facebook.com/Governmentadda
Telegram	https://telegram.me/Govtadda
Current Affairs App	Click Here to Download Free Current Affairs App by ExamsCart.com

Complete Question Bank with Answers PDF

S.NO	Subject Name	Topic-wise PDFs Download Link
1.	Mathematics Questions & Tricky Solution PDF	Download Now
2.	DI Questions & Tricky Solution PDF	Download Now
3.	English Questions & Tricky Solution PDF	Download Now
4.	Reasoning Questions & Tricky Solution PDF	Download Now
5.	General Knowledge/Awareness Questions & Tricky Solution PDF	Download Now
6.	Static Awareness Questions & Tricky Solution PDF	Download Now
7.	Banking Awareness Questions & Tricky Solution PDF	Download Now
8.	Insurance Awareness Questions & Tricky Solution PDF	Download Now
9.	Computer Awareness Questions & Tricky Solution PDF	Download Now

Thanks,

Team GovernmentAdda.com (Your Success Partner)