Syllogism Questions

• Syllogism — Track inclusions and existence across three classes Statements: • All bricks are stones. • Some stones are rocks. • All rocks are mountains. Conclusions: I) Some mountains are stones. II) Some mountains are bricks. III) Some stones are bricks. Choose the correct set of necessary conclusions.
• Syllogism — Mix of “some” overlaps and a universal inclusion Statements: • Some bags are plates. • Some plates are chairs. • All chairs are tables. Conclusions: I) Some tables are plates. II) Some chairs are bags. III) No chair is a bag. Identify what necessarily follows.
• Syllogism — Non-forced intersections vs. guaranteed propagation Statements: • All desks are rooms. • Some rooms are halls. • All halls are leaves. Conclusions: I) Some leaves are desks. II) Some halls are desks. III) Some leaves are rooms. Determine which conclusion(s) necessarily follow.
• Syllogism — Combine several categories; watch existence requirements Statements: • Some doctors are lawyers. • All teachers are lawyers. • Some engineers are lawyers. • All engineers are businessmen. Conclusions: I) Some teachers are doctors. II) Some businessmen are lawyers. III) Some businessmen are teachers. IV) Some lawyers are teachers. Select what must follow.
• Syllogism — Distinguish converses from valid consequences Statements: • All plastics are glasses. • Some sponges are glasses. • All sponges are clothes. • All clothes are liquids. Conclusions: I) All liquids are sponges. II) Some plastics are clothes. III) All glasses are plastics. IV) All liquids are clothes. Choose the correct evaluation.
• Syllogism — Be careful with shared supersets and localized existentials Statements: • All sands are beaches. • All shores are beaches. • Some beaches are trees. • All trees are hotels. Conclusions: I) Some shores are hotels. II) All beaches are shores. III) Some beaches are hotels. IV) Some sands are trees. Pick what is logically forced.
• Syllogism — Propagate a specific witness through a universal inclusion Statements: • All parrots are pigeons. • Some crows are pigeons. • Some sparrows are crows. • All sparrows are koels. Conclusions: I) Some koels are crows. II) Some parrots are crows. III) Some sparrows are pigeons. IV) No crow is a parrot. Select the necessary conclusion(s).
• Syllogism — Nested inclusions and an external existential Statements: • All chairs are tables. • All tables are cushions. • Some cushions are trolleys. • All trolleys are lamps. Conclusions: I) Some lamps are tables. II) Some trolleys are chairs. III) Some cushions are lamps. IV) All chairs are cushions. Choose the correct set.
• Syllogism — One existential plus a two-step inclusion chain Statements: • Some roses are flowers. • Some flowers are buds. • All buds are leaves. • All leaves are plants. Conclusions: I) Some plants are flowers. II) Some roses are buds. III) No leaves are roses. IV) No roses are buds. Select what must be true.
• Syllogism — Separate chains: bananas → guavas and apples/grapes overlaps Statements: • Some grapes are apples. • Some apples are bananas. • All bananas are guavas. • No guava is pomegranates. Conclusions: I) No grapes are pomegranates. II) Some guavas are grapes. III) Some guavas are apples. IV) No bananas are pomegranates. Choose the necessary conclusions.
• Syllogism — Resolve a duplicated conclusion via minimal repair Statements: • Some doors are walls. • All walls are floors. • All floors are rooms. • Some rooms are windows. Conclusions: I) All walls are rooms. II) Some rooms are doors. III) Some rooms are doors. (duplicate of II in source; treated as the same claim) IV) Some floors are doors. Select the best-fitting option.
• Statements: • Some spoons are forks. • Some forks are bowls. • All bowls are plates. • Some plates are utensils. Conclusions: I. Some utensils are forks. II. Some plates are forks. III. Some plates are spoons. IV. Some utensils are spoons. Choose the option that must follow.
• Statements: • All chairs are tables. • All tables are desks. • Some desks are benches. • Some desks are sofas. Conclusions: I. Some benches are sofas. II. Some sofas are tables. III. Some benches are tables. IV. No chair is a bench. Choose the option that must follow.
• Statements: • Some sweets are chocolates. • Some chocolates are mints. • Some mints are food. • Some food is diet. Conclusions: I. No sweets are diet. II. No food is chocolates. III. Some sweets are diet. IV. Some sweets are food. Choose the option that must follow.
• Statements: • All dolls are toys. • Some toys are gems. • Some gems are boxes. • All boxes are sticks. Conclusions: I. Some sticks are gems. II. Some gems are dolls. III. Some sticks are dolls. IV. Some toys are dolls. Choose the option that must follow.
• Statements: • Some days are nights. • Some nights are weeks. • Some weeks are months. • All months are years. Conclusions: I. Some years are nights. II. Some years are days. III. Some months are nights. IV. Some years are weeks. Choose the option that must follow.
• Statements: • Some doors are handles. • All handles are pins. • Some pins are threats. • All threats are clothes. Conclusions: I. Some clothes are pins. II. Some pins are doors. III. Some clothes are handles. IV. Some clothes are doors. Choose the option that must follow.
• Statements: • Some papers are lamps. • Some lamps are bulbs. • Some bulbs are tubes. • Some tubes are walls. Conclusions: I. Some walls are lamps. II. Some bulbs are papers. III. Some tubes are lamps. IV. Some walls are papers. Choose the option that must follow.
• Statements: • All belts are rollers. • Some rollers are wheels. • All wheels are mats. • Some mats are cars. Conclusions: I. Some mats are rollers. II. Some mats are belts. III. Some cars are rollers. IV. Some rollers are belts. Choose the option that must follow.
• Statements: • Some tyres are rains. • Some rains are flowers. • All flowers are jungles. • All jungles are tubes. Conclusions: I. Some jungles are tyres. II. Some tubes are rains. III. Some jungles are rains. IV. Some tubes are flowers. Choose the option that must follow.