Syllogism Questions

• Syllogism – Two-premise categorical logic: Statements: 1) All authors are learned people. 2) Some doctors are authors. Conclusions to test: I) Some doctors are learned people. II) Some learned people are doctors. Select the option that correctly identifies which conclusions logically follow.
• Syllogism – Evaluate conclusions from two premises: Statements: I) Some leaves are apples. II) No apple is an egg. Conclusions: I) All apples are leaves. II) Some eggs are leaves. III) Some leaves are not eggs. IV) All eggs are leaves. Choose the option that identifies which conclusions necessarily follow.
• Syllogism – Chain reasoning with “some” and a universal: Statements: 1) Some spoons are cups. 2) Some cups are bottles. 3) All bottles are mugs. Conclusions: I) Some mugs are cups. II) Some cups are bottles. III) Some spoons are mugs. Select the correct set of conclusions that necessarily follow.
• Syllogism – Test for unwarranted intersection: Statements: 1) All apples are oranges. 2) Some oranges are papayas. Conclusions: I) Some apples are papayas. II) Some papayas are apples. Choose which conclusions must follow.
• Syllogism – Mix of “some” and “all” with existence caution: Statements: (i) Some papers are pens. (ii) All pencils are pens. Conclusions: I) Some pens are pencils. II) Some pens are papers. Identify which conclusions necessarily follow.
• Syllogism – Overlap vs. disjoint “some” sets: Statements: 1) Some teachers are followers. 2) Some followers are famous. Conclusions: I) Some teachers are famous. II) Some followers are teachers. Choose the correct logical result.
• Syllogism – Universal subset with unrelated particular: Statements: 1) All trees are leaves. 2) Some fruits are leaves. Conclusions: I) Some fruits are trees. II) Some leaves are trees. Identify which conclusions are compelled by the premises.
• Syllogism – Negative and unrelated premises: Statements: All goats are flowers. No flower is a branch. Some branches are roots. Conclusions: I) Some roots are goats. II) No roots are goat. Choose the option that necessarily follows.
• Syllogism – Cascaded universals with existence caution: Statements: All pots are rings. All bangles are rings. All rings are paints. Conclusions: I) Some paints are pots. II) Some bangles are paints. Identify the conclusions that necessarily follow.
• Syllogism – Universal chains plus an unrelated particular: Statements: All pictures are paintings. All paintings are photographs. Some photographs are designs. Conclusions: I) Some paintings are designs. II) Some photographs are movies. Choose the necessarily true conclusion(s).
• Syllogism – Three-term chain with one universal: Statements: Some tablets are capsules. All capsules are syrups. Some syrups are medicines. Conclusions: I) Some syrups are powders. II) Some syrups are tablets. Select the option that states what necessarily follows.
• Syllogism – Universals with a negative and an unrelated particular: Statements: All benches are cots. No cot is a lamp. Some lamps are candles. Conclusions: I) Some cots are benches. II) Some candles are cots. Choose the option that states what necessarily follows.
• Syllogism – Chained universals with one particular: Statements: Some cats are dogs. All dogs are goats. All goats are walls. Conclusions: I) Some walls are dogs. II) Some walls are cats. Identify what necessarily follows.
• Syllogism – Conclusions about an unrelated term: Statements: Some buildings are benches. Some sofas are benches. Some benches are sofas. Conclusions: I) Some tables are sofas. II) No table is a sofa. Choose the necessarily true option.
• Syllogism – Drawing particulars from universals cautiously: Statements: All rats are bats. Some bats are desks. All desks are chairs. Conclusions: I) Some desks are rats. II) Some chairs are rats. Select the option that must be true.
• Syllogism – Particulars with one universal inclusion: Statements: Some roads are ponds. All ponds are stores. Some stores are bags. Conclusions: I) Some bags are ponds. II) Some stores are roads. Choose the necessarily true conclusion(s).
• Syllogism – Two chained universals (subset of subset): Statements: All Asians are wise. All Chinese are Asian. Therefore, choose the necessary conclusion.
• Syllogism – Universal plus particular with careful intersection: Statements: (a) All books are novels. (b) Some novels are poems. Conclusions: (I) Some books are poems. (II) Some poems are novels. Select the option that necessarily follows.
• Syllogism – One particular plus a fact about an individual: Statements: I) Some birds are clouds. II) Horse is a bird. Conclusions: I) Some clouds are birds. II) Horse is not a cloud. Choose the conclusion(s) that necessarily follow.
• Syllogism – Two premises about subsets of the same superset: Statements: (a) Some politicians are social workers. (b) All doctors are social workers. Conclusions: I) Some doctors are politicians. II) Some social workers are doctors as well as politicians. Identify the necessarily true option.