Why this topic matters · 7 min read
Syllogism is a near-certain topic in IBPS RRB PO Reasoning section. Expect 3 to 5 questions per exam, usually in a set of statements with multiple conclusions. The exam tests whether you can logically derive what MUST be true, what MAY be true, and what is definitely false. Questions have shifted toward possibility-based conclusions in recent years, making this trickier than it looks. Mastering Venn diagram drawing and the Either-Or rule gives you an easy 4-5 marks.
Basic Statement Types and What They Mean
Every syllogism question gives you 2 or more statements and asks which conclusions follow. Each statement is one of four types. Think of them as how much of a group is included or excluded. All = 100% included. No = 100% excluded. Some = at least one is included (could be all). Some not = at least one is excluded (could be all).
- All A are B: Every single A is inside B. Draw A circle fully inside B circle.
- No A is B: A and B circles do not touch at all. Zero overlap.
- Some A are B: A and B circles overlap partially. At least one A is a B.
- Some A are not B: At least one A is outside B. The two circles may still overlap.
Venn Diagram Method — The Safest Approach
Draw circles for each term. Place them according to the statement type. Then check each conclusion by seeing if it MUST be true in every valid diagram, or if it is ONLY possible. If a conclusion is true in all possible diagrams, it follows. If it is true in only some diagrams, it is a possibility conclusion (MAY be true). If it is false in all diagrams, it does not follow. Always draw the most conservative diagram — the one that satisfies the statement with minimum overlap.
- All A are B + All B are C gives: All A are C (follows directly).
- Some A are B + All B are C gives: Some A are C (follows).
- Some A are B + Some B are C gives: Nothing definite about A and C (does not follow).
- All A are B + No B is C gives: No A is C (follows).
- Some A are B + No B is C gives: Some A are not C (follows).
- Two particular statements (Some + Some or Some not + Some not) never give a definite conclusion.
The Either-Or Case
This is a high-frequency twist in IBPS RRB PO. When neither Conclusion I nor Conclusion II individually follows, but together they cover all possibilities, you mark Either I or II follows. The two conditions needed are: (1) The conclusions must be complementary — one is the exact opposite of the other. (2) The subject and predicate of both conclusions must be the same. Classic pair: Some A are B and Some A are not B. If neither follows from statements but both together cover the full universe, mark Either-Or.
- Either-Or only works when the two conclusions are exact opposites of each other.
- Both conclusions must have the same subject and predicate.
- If even one conclusion follows on its own, you cannot apply Either-Or.
- All A are B and Some A are not B is a valid Either-Or pair.
- No A is B and Some A are B is also a valid Either-Or pair.
Possibility Conclusions — The Modern Twist
Recent IBPS RRB PO papers have heavily featured conclusions phrased as possibilities: Some A can be B, All A can be B, No A can be B. The rule is: a possibility conclusion is true as long as it does not contradict the given statements. If the statement says All A are B, then Some A are not B is impossible. But All A can be B is possible even when only Some A are B is stated. Think of possibility as: is there even one valid diagram where this is true?
- All A can be B is possible if no statement says otherwise — even if only Some A are B is stated.
- Some A can be B is almost always possible unless No A is B is explicitly stated.
- No A can be B is possible only when No A is B is stated or can be conclusively derived.
- If All A are B is given, then Some A are not B (definite) is false, but the possibility Some A can be B is obviously true.
- Possibility conclusions trip up aspirants the most — practice separately.
Quick Derivation Rules (For Speed)
When you cannot draw diagrams fast enough, use these shortcut rules to check if a conclusion can follow. These cover the most common patterns seen in IBPS PO and RRB exams.
- All + All = All (strong conclusion possible).
- All + No = No (strong negative follows).
- Some + All = Some (weak positive follows).
- Some + No = Some Not (weak negative follows).
- Some + Some = No definite conclusion.
- Any combination with Some Not in premise = No definite conclusion in most cases.
⚠ Common mistakes to avoid
- Marking a conclusion that COULD be true instead of MUST be true. Remember: for definite conclusions the diagram must confirm it every time, not just sometimes.
- Forgetting Either-Or when both conclusions fail individually but are exact complements. Students leave marks on the table here.
- Treating Some as meaning only a few. Some means at least one — it could mean all. This leads to wrong Venn diagrams.
- Applying Either-Or when the subjects or predicates of the two conclusions are different. The pair must be identical in terms, only differing in quantity or negation.
- Confusing possibility conclusions with definite ones. All A can be B does not mean All A are B follows. Practice the difference aggressively.
🧠 Memory aids
- ANSE mnemonic for statement types: A = All (universal positive), N = No (universal negative), S = Some (particular positive), SE = Some not (particular negative). Remember ANSE like a dance.
- The 2-Particular Rule: Two particular statements (both starting with Some or Some not) NEVER give a definite conclusion. Think: two half-truths make no truth.
- Possibility Check shortcut: Ask yourself Can this be drawn without breaking any statement? Yes = possibility follows. No = it does not.
- Either-Or visual trick: Imagine a seesaw. Both conclusions sit on either end. If the seesaw is perfectly balanced (exact opposites, same terms) and neither side touches the ground (neither follows alone), mark Either-Or.
🎯 IBPS RRB PO exam tips
- IBPS RRB PO 2022 and 2023 papers had 4 to 5 syllogism questions with at least 2 possibility-based conclusions per set. Prioritize possibility rules in your revision.
- Questions appear in the first half of the Reasoning section. Since they are logic-based (not language-heavy), attempt these early to save time for puzzles.
- Typical difficulty is moderate. A student who has practiced Venn diagrams for 2 to 3 days can score full marks here. Do not skip this topic.
- Watch out for reversed conclusions: if the statement says All A are B, the exam may give the conclusion All B are A as a trap. This does NOT follow.
- Time target: spend no more than 1 minute per question. If a question has 3 statements and 5 conclusions, draw the Venn diagram once and check all 5 — do not redraw for each conclusion.
Q1 · medium · AI-verified
Statements: All pradhan mantri schemes benefit rural population. Some rural benefits include loan waivers. No loan waiver affects bank profitability positively.
Conclusions: I. Some PM schemes don't affect bank profitability positively. II. All loan waivers are PM schemes.
- Only conclusion I follows
- Only conclusion II follows
- Both conclusions I and II follow
- Neither conclusion I nor II follows
Q2 · medium · AI-verified
Statements: All priority sector lending targets include agriculture. Some agricultural lending is subsidized. No subsidized lending generates high profits.
Conclusions: I. Some priority sector lending doesn't generate high profits. II. All agricultural lending is priority sector lending.
- Only conclusion I follows
- Only conclusion II follows
- Both conclusions I and II follow
- Neither conclusion I nor II follows
Q3 · medium · AI-verified
Statements: All insurance policies are beneficial. Some beneficial things are expensive. No expensive thing is easily affordable.
Conclusions:
I. Some insurance policies are expensive.
II. No insurance policy is easily affordable.
III. Some beneficial things are insurance policies.
- None of the conclusions follows
- Only conclusion I follows
- Only conclusion III follows
- Only conclusions I and III follow
Q4 · medium · AI-verified
Statements: All crop insurance policies cover natural disasters. Some natural disaster coverage includes drought protection. No drought protection scheme operates without government support.
Conclusions: I. Some crop insurance operates with government support. II. All natural disasters require government support.
- Only conclusion I follows
- Only conclusion II follows
- Both conclusions I and II follow
- Neither conclusion I nor II follows
Q5 · medium · AI-verified
Statements:
All banks provide agricultural credit.
Some cooperative societies are banks.
No microfinance institution provides agricultural credit.
Conclusions:
I. Some cooperative societies provide agricultural credit.
II. No microfinance institution is a bank.
III. All agricultural credit providers are banks.
- All follow
- Only II and III follow
- Only I follows
- Only I and II follow