Inequalities

Coded inequalities use symbols like @, #, $ to represent <, >, =. The task is to decode symbols, combine chains, and determine if a conclusion follows.

Key Idea

Decode the symbols first, then check if each conclusion follows directly from the decoded chain — never assume transitive links unless explicitly derivable.

Core Rules

Symbol Decoding

Replace every coded symbol with the actual operator (>, <, =, ≥, ≤)

First step for every coded inequality question.

Conclusion Validity

A conclusion A > C is valid only if A > B and B > C (or ≥ with no ambiguity)

When two consecutive inequalities share a middle term.

Complementary Pairs

If neither A > C nor A < C can be determined → "Either I or II follows" (when they are complementary)

When conclusion I and II together cover all possibilities.

Double Inequality Chain

A ≥ B > C means A > C holds; A ≥ B ≥ C means A ≥ C holds (not necessarily A > C)

When mixed ≥ and > appear in a chain.

"Either Follows" Rule

Say "Either I or II follows" only when I and II are direct opposites AND neither can be separately proven true

When one conclusion says A > B and the other says A < B (or A = B).

Relevant Exams

SSC CGLSSC CHSLIBPS POIBPS ClerkSBI PORRB NTPC

Inequalities appear in 3–5 questions in every IBPS PO/Clerk paper and 2–3 questions in SSC CGL. Speed depends on symbol decoding automaticity.