# Syllogism Questions with Answers: Download PDF > Fifteen syllogism questions with answers, each conclusion tested against every valid diagram rather than the one that looks right. Free PDF, no sign-up. Source: https://deducepuzzles.com/questions/syllogism --- ## Syllogism questions with answers Syllogism questions are decided by what *must* follow, never by what could. Each of the fifteen below is checked against every arrangement the statements permit, so a conclusion is marked to follow only when no counter-diagram exists. The walkthroughs name the counter-diagram when one does, which is the part a summary answer key leaves out. [Download the PDF — 15 questions with answers](https://deducepuzzles.com/questions/syllogism.pdf) Free, ungated, no email. This is the syllogism questions with answers PDF — the same 15 questions as below, with every worked solution at the back, ready to print. ### How to use this set The 15 questions below are ordered the way an exam block is rather than easiest-first: two gentle openers, then a run of medium, and a hard one every sixth question — 2 of the 15 sit in the hard band. Every question is a syllogism (statements & conclusions). Work each question on paper before you open its solution. The walkthrough is the method itself, step for step, so reading it first turns a practice set into a reading exercise and teaches nothing. If you are stuck on the method rather than on one question, the method guide is a better place to start than the next question: [Syllogism: the possibility rules that decide it](https://deducepuzzles.com/reasoning/syllogism). ### 15 syllogism questions with answers Every question below was generated by the same engine that mints the Deduce daily puzzle round, and machine-checked before it reached this page — a multiple-choice question validates its own answer against its own options at generation, and ships only with a walkthrough attached. The walkthrough is the engine's own. #### Question 1 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: All towns are regions. No regions are states. Conclusion I: Some states are not towns. Conclusion II: No states are towns. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("Some states are not towns") need not follow — the statements allow a situation where it is false. - Conclusion II ("No states are towns") is true in every situation the statements allow. - So only conclusion II follows. #### Question 2 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: All stools are chairs. All chairs are desks. Conclusion I: All stools are desks. Conclusion II: All desks are stools. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("All stools are desks") is true in every situation the statements allow. - Conclusion II ("All desks are stools") need not follow — the statements allow a situation where it is false. - So only conclusion I follows. #### Question 3 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: All cities are towns. No towns are states. Conclusion I: No cities are states. Conclusion II: No states are cities. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("No cities are states") is true in every situation the statements allow. - Conclusion II ("No states are cities") is true in every situation the statements allow. - So both conclusions follow. #### Question 4 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: No managers are doctors. No doctors are engineers. Conclusion I: No engineers are managers. Conclusion II: Some managers are not engineers. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("No engineers are managers") need not follow — the statements allow a situation where it is false. - Conclusion II ("Some managers are not engineers") need not follow — the statements allow a situation where it is false. - So neither conclusion follows. #### Question 5 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: Some vans are vehicles. No vehicles are buses. Conclusion I: Some vans are not buses. Conclusion II: All vans are buses. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("Some vans are not buses") is true in every situation the statements allow. - Conclusion II ("All vans are buses") need not follow — the statements allow a situation where it is false. - So only conclusion I follows. #### Question 6 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: All cars are buses. No buses are trains. Conclusion I: No trains are cars. Conclusion II: No cars are trains. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("No trains are cars") is true in every situation the statements allow. - Conclusion II ("No cars are trains") is true in every situation the statements allow. - So both conclusions follow. #### Question 7 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: All chairs are shelves. All shelves are cupboards. Conclusion I: All chairs are cupboards. Conclusion II: Some chairs are cupboards. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("All chairs are cupboards") is true in every situation the statements allow. - Conclusion II ("Some chairs are cupboards") need not follow — the statements allow a situation where it is false. - So only conclusion I follows. #### Question 8 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: No towns are regions. All regions are districts. Conclusion I: Some towns are districts. Conclusion II: No towns are districts. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("Some towns are districts") need not follow — the statements allow a situation where it is false. - Conclusion II ("No towns are districts") need not follow — the statements allow a situation where it is false. - Conclusions I and II are a complementary pair — exactly one must be true in every case, but the statements do not fix which. So either I or II follows. #### Question 9 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: Some rabbits are horses. All horses are cows. Conclusion I: Some cows are rabbits. Conclusion II: Some rabbits are cows. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("Some cows are rabbits") is true in every situation the statements allow. - Conclusion II ("Some rabbits are cows") is true in every situation the statements allow. - So both conclusions follow. #### Question 10 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: All pens are diaries. No diaries are notebooks. Conclusion I: No pens are notebooks. Conclusion II: All notebooks are pens. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("No pens are notebooks") is true in every situation the statements allow. - Conclusion II ("All notebooks are pens") need not follow — the statements allow a situation where it is false. - So only conclusion I follows. #### Question 11 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: All trains are scooters. No scooters are cars. Conclusion I: No trains are cars. Conclusion II: Some cars are not trains. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("No trains are cars") is true in every situation the statements allow. - Conclusion II ("Some cars are not trains") need not follow — the statements allow a situation where it is false. - So only conclusion I follows. #### Question 12 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: No books are papers. Some papers are notebooks. Conclusion I: Some books are not notebooks. Conclusion II: Some notebooks are not books. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("Some books are not notebooks") need not follow — the statements allow a situation where it is false. - Conclusion II ("Some notebooks are not books") is true in every situation the statements allow. - So only conclusion II follows. #### Question 13 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: All trays are cups. No cups are glasses. Conclusion I: No glasses are trays. Conclusion II: No trays are glasses. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("No glasses are trays") is true in every situation the statements allow. - Conclusion II ("No trays are glasses") is true in every situation the statements allow. - So both conclusions follow. #### Question 14 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: No stools are desks. No desks are benches. Conclusion I: No stools are benches. Conclusion II: Some benches are stools. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("No stools are benches") need not follow — the statements allow a situation where it is false. - Conclusion II ("Some benches are stools") need not follow — the statements allow a situation where it is false. - Conclusions I and II are a complementary pair — exactly one must be true in every case, but the statements do not fix which. So either I or II follows. #### Question 15 Take the two statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows. Statements: Some managers are officers. No officers are teachers. Conclusion I: No teachers are managers. Conclusion II: Some managers are not teachers. - Only conclusion I follows - Only conclusion II follows - Either conclusion I or II follows - Neither conclusion I nor II follows - Both conclusions I and II follow - Conclusion I ("No teachers are managers") need not follow — the statements allow a situation where it is false. - Conclusion II ("Some managers are not teachers") is true in every situation the statements allow. - So only conclusion II follows. ### Where these questions come from Most free practice for this topic is a scanned upload or a blog quiz, and neither can tell you a question has exactly one answer. That is the one thing this set can promise: it is minted, not typed. The engine behind it serves Deduce's daily puzzle round, so the questions here are the same shape as the ones a live round would give you — and there is an unlimited supply of them, which is why this page can be regenerated rather than padded. If you want the method rather than more questions, [Syllogism: the possibility rules that decide it](https://deducepuzzles.com/reasoning/syllogism) covers the approach, the traps and a worked table. This page and that one deliberately answer different questions: that one is *how do I solve these*, this one is *give me syllogism questions with the answers*. ### FAQ #### What does 'possibility' mean in a syllogism question? A possibility conclusion follows if at least one valid diagram supports it. A definite conclusion follows only if every valid diagram supports it. Mixing the two is the single most common error: candidates apply the 'every diagram' test to a possibility statement and reject a correct answer. #### Can two negative statements ever give a definite conclusion? No. From 'No A is B' and 'No B is C' nothing definite follows about A and C, because they may overlap entirely, partly, or not at all. Any option claiming a definite relation there is a distractor, and it appears often enough to be worth recognising on sight. #### Is the Venn method faster than the rules? For two-statement questions the rules are faster once memorised. For three statements, or anything with 'only a few', draw. A drawing that admits two shapes is a proof of non-conclusion, and it takes about fifteen seconds — far less than re-reading the statements for the third time. ### More question banks - [Number series questions with answers](https://deducepuzzles.com/questions/number-series) — 15 worked questions and a PDF. - [Seating arrangement questions with answers](https://deducepuzzles.com/questions/seating-arrangement) — 12 worked questions and a PDF. - [Data sufficiency questions with answers](https://deducepuzzles.com/questions/data-sufficiency) — 15 worked questions and a PDF. - [All reasoning topics](https://deducepuzzles.com/reasoning) — the method guides behind every bank. 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