Inequalities Questions for IBPS PO

Basic Symbols and Their Meaning

In IBPS PO, inequality questions use standard mathematical symbols or coded symbols that you must decode first. The core symbols are greater than, less than, greater than or equal to, less than or equal to, and equal to. Once you decode the coded language in the question, the logic is pure common sense. Think of the inequality chain like water flowing downhill — it always flows from bigger to smaller.

• A > B means A is definitely greater than B
• A >= B means A is greater than or equal to B (at least as big)
• A = B means both are exactly equal
• A < B means A is definitely smaller than B
• A <= B means A is smaller than or equal to B
• In coded inequalities, a symbol like @ may mean > and # may mean < — always decode first before solving

Direct Inequality Chain — The Core Logic

Most IBPS PO questions give you a chain like A > B >= C = D < E and ask whether certain conclusions follow. The key rule is: a conclusion is TRUE only if both direction and strength of the relationship can be confirmed. If the chain is unbroken and going the same direction, the conclusion holds. If the direction reverses anywhere in the middle, the conclusion is either false or uncertain.

• Same direction chain: A > B > C means A > C is definitely true
• Mixed direction: A > B < C — you CANNOT compare A and C directly, conclusion is false
• Equal sign is a bridge: A >= B > C means A > C is true (>= and > both point same way)
• If you get A > B >= C, then A > C is true but A >= C is also true — both hold
• Either-or conclusion: if neither conclusion alone is true but together they cover all cases, mark both as complementary pair
• The boundary trap: A >= B and B >= C gives A >= C, not necessarily A > C

Coded Inequalities

In coded inequality questions, the examiner replaces > with symbols like @, $, %, # etc. Your first job is to write the decoding key at the top of your rough sheet. Then substitute and rewrite the statement in normal math form. After that, solve exactly like a direct inequality chain. Wasting time re-reading the coded form is the biggest time killer here.

• Always write the decoding table first on rough sheet — 5 seconds spent saves 30 seconds of confusion
• Common codes: @ for >, # for <, $ for >=, % for <=, and sometimes = stays =
• After substitution, treat it as a normal chain problem
• Do not try to solve in coded form — your brain will slip
• Some sets give you 5 statements and 5 questions — decode once and reuse

Either-Or Conclusions — The Tricky Type

This is where many aspirants lose marks. When two conclusions are given and you find both are individually false, check if they form a complementary pair. A complementary pair covers all possible relationships — one says A > B and the other says A <= B. Together they cover every scenario, so the answer is either 1 or 2 follows (both together). But if the two conclusions say A > B and A < B without covering equality, they are NOT complementary.

• Complementary pair means the two conclusions together cover 100 percent of possibilities
• A > B and A <= B is complementary — together exhaustive
• A > B and A < B is NOT complementary — misses A = B case
• A >= B and A < B is complementary
• Use this rule only when BOTH individual conclusions are false — never apply it when even one conclusion is true
• This type appears once or twice per set in IBPS PO Mains

• Confusing >= with > in the final conclusion — if chain gives A >= B > C, conclusion A > C is true but A >= C is also true; students often mark only one
• In mixed direction chains like A > B < C, students assume A and C can be compared because the numbers look close — they cannot, direction reversal breaks the chain completely
• Applying the either-or rule even when one conclusion is already true — the complementary pair rule only kicks in when BOTH are false individually
• In coded inequalities, solving mentally without writing the decoded form leads to symbol swapping errors under time pressure
• Treating A = B > C as A > C with certainty is correct, but students sometimes write A >= C, missing that equality combined with strict inequality gives strict inequality in the conclusion

• DECODE FIRST, SOLVE SECOND — never skip the decoding step in coded inequality questions. Think of it as unlocking a door before entering.
• RIVER RULE — water flows downhill without stopping. If your inequality chain flows in one direction without reversing, the conclusion at the end holds. If the river hits an uphill bump (direction reversal), flow stops — conclusion fails.
• EITHER-OR CHECKLIST — remember BOTH FALSE then CHECK PAIR. If both conclusions fail alone, check if they are mirror images covering all cases.
• The BRIDGE symbol is >= or <= — it connects strict and equal. Remember: a bridge can carry both cars (strict) and pedestrians (equal). So P >= Q > R means P is definitely greater than R, the bridge held.

• In IBPS PO Prelims, inequalities appear as a set of 3 to 5 questions using a coded symbol table. Target 100 percent accuracy here — these are among the easiest questions in the Reasoning section if practiced well.
• Time budget: spend no more than 25 to 30 seconds per question. If a question takes longer, mark and move — do not let one tricky question eat into your DI time.
• In recent IBPS PO papers (2022 to 2024), the either-or complementary pair type has appeared in Mains more than Prelims. In Prelims, mostly direct chain conclusions are tested.
• The coded inequality set usually has one or two questions where both conclusions follow, one where neither follows, and one tricky either-or — knowing this distribution helps you cross-check your answers quickly.
• Do not solve by putting random numbers to test — this takes too long under exam pressure. Learn the direction-chain logic cold so you solve symbolically without needing examples.