Advanced Analytical Skills — II
Unit 7: Coded Inequalities
Master the art of decoding symbolic inequalities, solving chain comparisons, comparing roots of quadratic equations, and cracking every competitive exam question on this topic.
⏱️ Time to Complete: 6–8 hours | 📝 30 MCQs + 8 Short + 3 Long (Bloom's Mapped) | 15 Worked Examples
🎯 Exams this covers: Bank PO (SBI/IBPS) | SSC CGL | CAT | CLAT | University Aptitude Tests
Opening Hook — When Symbols Replace Logic
🧩 The Code That Decides Your Bank Job
It's February 2026. You sit down for your SBI PO Prelims at 10:00 AM in a packed exam centre in Lucknow. 35 reasoning questions. 20 minutes. The clock is ticking. Question 14 appears on screen:
Statements: P © Q, Q £ R, R @ S
Conclusions: I. P © S II. S £ P
Your friend panics. You smile. Because you know © means >, £ means <, @ means =. You decode, chain, and solve in 15 seconds: P > Q < R = S → neither conclusion follows. Answer marked. Next question.
This isn't magic — it's Coded Inequalities. The single most predictable, most scoreable topic in banking exams. 5 questions. Every exam. Guaranteed.
Learning Outcomes — Bloom's Taxonomy Mapped
| Bloom's Level | Learning Outcome |
|---|---|
| 🔵 Remember | List the six fundamental inequality symbols (>, <, ≥, ≤, =, ≠) and recall coded symbol mappings |
| 🔵 Understand | Explain how a coded inequality statement translates into a standard mathematical inequality |
| 🟢 Apply | Decode coded statements and form a single combined chain inequality |
| 🟢 Analyse | Analyse a given chain to determine which conclusions are definitely true, definitely false, or can't be determined |
| 🟠 Evaluate | Evaluate conclusions involving quadratic-root-based inequalities and mixed chains |
| 🟠 Create | Create your own coded inequality problem sets and solve advanced multi-statement questions under exam pressure |