Syllogism Questions for IBPS PO

The Four Types of Propositions

Every syllogism question is built from four types of statements. Think of them as four relationships between two groups. Universal Affirmative (All A are B) means every single member of A is inside B. Universal Negative (No A is B) means zero overlap. Particular Affirmative (Some A are B) means at least one member is shared. Particular Negative (Some A are not B) means at least one member of A is outside B. Memorize this before anything else because every rule flows from these four.

• All A are B — Universal Affirmative (UA). Full inclusion of A inside B.
• No A is B — Universal Negative (UN). Zero intersection. This is always reversible: No A is B means No B is A.
• Some A are B — Particular Affirmative (PA). At least one overlap. Also reversible: Some A are B means Some B are A.
• Some A are not B — Particular Negative (PN). At least one of A is outside B. NOT reversible.
• Only All and No statements are definite. Some and Some-not are indefinite — they describe minimum conditions.

The Combination Rule (Golden Rule for Drawing Conclusions)

When you combine two statements to draw a conclusion, you follow a fixed result table. Think of it like a multiplication table but for logic. The middle term (the common term linking two statements) must be distributed at least once for a valid conclusion to exist. If both statements are negative or both are particular, no conclusion is possible. Learn the table by heart: UA+UA=UA, UA+UN=UN, UA+PA=PA, PA+UA=PA, UN+UA=PN, PA+UN=PN. Any other combination gives no definite conclusion.

• All + All = All (UA + UA = UA)
• All + No = No (UA + UN = UN)
• All + Some = Some (UA + PA = PA)
• Some + All = Some (PA + UA = PA)
• No + All = Some-not (UN + UA = PN)
• If both statements are particular (Some + Some) or both negative (No + No, No + Some-not) — NO conclusion. Remember: Two Negatives or Two Particulars give nothing.

Possibility Cases (New Pattern — Most Tricky)

IBPS PO now frequently asks: Can a conclusion POSSIBLY be true rather than definitely true? A possibility conclusion is valid when it does not contradict the given statements. The key trick is: if All A are B is definitely true, then Some A are B is also definitely true (not just a possibility). If No A is B is definitely true, then Some A are not B is definitely true. For possibility, ask yourself: is there any arrangement of the Venn diagram where this conclusion can hold without breaking the given statements?

• If All A are B is definite, then Some A are B is automatically definite (not merely possible).
• If No A is B is definite, then Some A are not B is automatically definite.
• A possibility conclusion FAILS only if the given statements make it impossible (contradicts a definite conclusion).
• All A are B is POSSIBLE if no statement says No A is B or Some A are not B definitively.
• Trick: Possibility = not contradicted. Definite = directly derived by the combination table.

Venn Diagram Method (Quick Visual Check)

When in doubt, draw three overlapping circles — one for each term. For All A are B, draw A fully inside B. For No A is B, draw A and B completely apart. For Some A are B, draw them partially overlapping. Then check if the conclusion circle relationship matches what is drawn. This is slower but useful for tricky 3-statement questions. Practice until you can draw it mentally in 20 seconds.

• All A are B: Circle A sits fully inside circle B.
• No A is B: Circles A and B have zero overlap.
• Some A are B: Circles A and B partially overlap.
• Some A are not B: Part of circle A is outside circle B.
• For possibility cases, redraw the diagram in alternate valid ways and check if the conclusion holds in at least one way.

• Reversing Some-not: Aspirants wrongly reverse Some A are not B to Some B are not A. This is INVALID. Only All, No, and Some can be reversed (and All reverses to Some, not to All).
• Forgetting that No A is B means No B is A: The Universal Negative is fully reversible. Missing this causes wrong answers in multi-step problems.
• Treating possibility as definite: If the question asks what POSSIBLY follows, do not apply the combination table for definite conclusions. Check only for contradiction.
• Two particulars trap: Students often try to combine Some A are B + Some B are C and write Some A are C. This is WRONG. Two particular statements give no conclusion.
• Middle term not linking properly: If the two statements share a term but it is not the middle term connecting them (e.g., you try to combine Statement 1 and Statement 3 without Statement 2), conclusions may be invalid. Always chain statements through the common middle term.

• AUNP Rule for reversals: All reverses to Some, Universal Negative reverses to itself, No reversal for Some-not. Remember: A flips down, N stays same, P stays same, PN never flips.
• Two Ps or Two Ns give Nothing: If both statements start with P (Particular) or both are N (Negative), the conclusion is blank. Say it aloud: PP=0, NN=0.
• Combine Table as AAAS: All+All=All, All+No=No, All+Some=Some, Some+All=Some, No+All=Some-not. Picture a staircase going All to Some-not as rules get weaker.
• Possibility Mantra: If it does not contradict, it is possible. If it is derived by the table, it is definite. Definite is stronger than Possible.

• IBPS PO Prelims typically has 4-5 syllogism questions in the Reasoning section. They appear as a standalone set, not mixed with other topics. Expect 2 definite conclusion questions and 2-3 possibility questions in recent patterns.
• The 2023-2024 IBPS PO pattern heavily favors possibility-based conclusions. Do NOT spend time only on definite conclusion practice. Practice at least 40-50 possibility questions separately.
• Time target: Each syllogism question should take 30-45 seconds. If a question has 3 statements, it may take up to 60 seconds. Skip and return if it crosses 75 seconds.
• Reverse syllogism questions (finding statements that give the conclusion) have appeared in Mains. These are rare in Prelims but practice 10-15 of them so you are not caught off guard.
• In Mains, syllogism sometimes appears inside Data Sufficiency or logical reasoning sets. The same rules apply but the context is disguised, so train yourself to identify UA, UN, PA, PN even when written in plain English sentences.